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Office: 443 Via Ortega, Shriram Center, Room 121
Mail Code: 94305-4125
Phone: Graduate students: (650) 498-3224; Undergraduates: (650) 497-3135
Web Site: http://bioengineering.stanford.edu

Courses offered by the Department of Bioengineering are listed under the subject code BIOE on the Stanford Bulletin's ExploreCourses web site.

Bioengineering is jointly supported by the School of Engineering and the School of Medicine. The facilities and personnel of the Department of Bioengineering are housed in the Shriram Center,  James H. Clark Center, the William F. Durand Building for Space Engineering and Science, the William M. Keck Science Building, the Jerry Yang and Akiko Yamazaki Environment and Energy Building, and the Richard M. Lucas Center for Magnetic Resonance Spectroscopy and Imaging. The departmental headquarters is in the Shriram Center for Bioengineering and Chemical Engineering.

Courses in the teaching program lead to the degrees of Bachelor of Science in Bioengineering, Master of Science and Doctor of Philosophy. The department collaborates in research and teaching programs with faculty members in Chemical Engineering, Mechanical Engineering, Electrical Engineering, and departments in the School of Medicine. Quantitative biology is the core science base of the department. The research and educational thrusts are in biomedical computation, biomedical imaging, biomedical devices, regenerative medicine, and cell/molecular engineering. The clinical dimension of the department includes cardiovascular medicine, neuroscience, orthopedics, cancer care, neurology, and the environment.

Mission of the Undergraduate Program in Bioengineering

The Stanford Bioengineering (BIOE) major enables students to combine engineering and the life sciences in ways that advance scientific discovery, healthcare and medicine, manufacturing, environmental quality, culture, education, and policy. Students who major in bioengineering earn a fundamental engineering degree for which the raw materials, underlying basic sciences, fundamental toolkit, and future frontiers are all defined by the unique properties of living systems.

The department offers an undergraduate major in Bioengineering leading to the B.S. degree in Bioengineering.

Learning Outcomes (Undergraduate)

The learning outcomes are used in evaluating students as well as the department's undergraduate program. The department expects undergraduate majors in the program to be able to demonstrate the ability to:

  1. Apply the knowledge of mathematics, science, and engineering.
  2. Design and conduct experiments, as well to analyze and interpret data.
  3. Design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability.
  4. Function on multidisciplinary teams.
  5. Identify, formulate, and solve engineering problems.
  6. Understand professional and ethical responsibility.
  7. Communicate effectively.
  8. Understand the impact of engineering solutions in a global, economic, environmental, and societal context.
  9. Demonstrate a working knowledge of contemporary issues.
  10. Apply the techniques, skills, and modern engineering tools necessary for engineering practice.
  11. Transition from engineering concepts and theory to real engineering applications.

Learning Outcomes (Graduate)

The purpose of the master’s program is to provide students with the knowledge and skills necessary for a professional career or doctoral studies. This is done through coursework with specialization in an area of the field, including biomedical computation, regenerative medicine and tissue engineering, molecular and cell bioengineering, biomedical imaging, and biomedical devices.

The PhD is conferred upon candidates who have demonstrated substantial scholarship and the ability to conduct independent research. Through coursework and guided research, the program prepares students to make original contributions in Bioengineering and related fields.

Graduate Programs in Bioengineering

The University’s requirements for the M.S. and Ph.D. degrees are outlined in the “Graduate Degrees” section of this bulletin.

Admission

Students are expected to enter with a series of core competencies in mathematics, biology, chemistry, physics, computing, and engineering. Students entering the program are assessed by the examination of their undergraduate transcripts and research experiences. Specifically, the department requires that students have completed mathematics through multivariable calculus and differential equations, completed a series of undergraduate biology courses and completed physics, chemistry, and computer sciences courses required of all undergraduate majors in engineering.

Qualified applicants are encouraged to apply for predoctoral national competitive fellowships, especially those from the National Science Foundation. Applicants to the Ph.D. program should consult with their financial aid officers for information and applications.

The deadline for receiving applications is December 1, 2020. The Graduate Record Examination (GRE) is not required for admission to the M.S. or Ph.D. program in Bioengineering.

Further information and application instructions for all graduate degree programs may be obtained from Graduate Admissions.

Bachelor of Science in Bioengineering

The department offers an undergraduate major in Bioengineering (BIOE) leading to the B.S. degree in Engineering. For additional information, see the Handbook for Undergraduate Engineering Programs (UGHB).


COVID-19-Related Degree Requirement Changes

For information on how Aeronautics and Astronautics degree requirements have been affected by the pandemic, see the "COVID-19 Policies tab" in the "Bioengineering" of this bulletin. For University-wide policy changes related to the pandemic, see the "COVID-19 and Academic Continuity" section of this bulletin.


Bioengineering (BIOE)

Completion of the undergraduate program in Bioengineering leads to the conferral of the Bachelor of Science in Bioengineering.

Mission of the Undergraduate Program in Bioengineering

The Stanford Bioengineering major enables students to combine engineering and the life sciences in ways that advance scientific discovery, healthcare and medicine, manufacturing, environmental quality, culture, education, and policy. Students who major in BioE earn a fundamental engineering degree for which the raw materials, underlying basic sciences, fundamental toolkit, and future frontiers are all defined by the unique properties of living systems.

Students will complete engineering fundamentals courses, including an introduction to bioengineering and computer programming. A series of core BIOE classes beginning in the second year leads to a student-selected depth area and a senior capstone design project. The department also organizes a summer Research Experience for Undergraduates (REU) program. BIOE graduates are well prepared to pursue careers and lead projects in research, medicine, business, law, and policy.

Requirements

Units
Mathematics
14 units minimum (Prerequisites: 10 units of AP or IB credit or Mathematics 20-series) 1
Select one of the following sequences:
CME 100
CME 102
Vector Calculus for Engineers
and Ordinary Differential Equations for Engineers (Recommended)
10
MATH 51
MATH 53
Linear Algebra, Multivariable Calculus, and Modern Applications
and Ordinary Differential Equations with Linear Algebra
10
Select one of the following:
CME 106Introduction to Probability and Statistics for Engineers (Recommended)4-5
or STATS 110 Statistical Methods in Engineering and the Physical Sciences
or STATS 141 Biostatistics
Science
26 units minimum 2
CHEM 31MChemical Principles: From Molecules to Solids (formerly 31X)5
or CHEM 31A
CHEM 31B
Chemical Principles I
and Chemical Principles II
CHEM 33Structure and Reactivity of Organic Molecules5
BIO 83Biochemistry & Molecular Biology (Recommended)4
or BIO 82 Genetics
BIO 84Physiology4
PHYSICS 41Mechanics4
PHYSICS 43Electricity and Magnetism4
Technology in Society
BIOE 131Ethics in Bioengineering (WIM)3
Engineering Fundamentals
BIOE 80Introduction to Bioengineering (Engineering Living Matter)4
CS 106AProgramming Methodology (or CS 106B or CS 106X)5
Fundamentals Elective; see UGHB for approved course list; only one CS class allowed to count toward Fundamentals requirements.3-5
Bioengineering Core
BIOE 42Physical Biology4
BIOE 44Fundamentals for Engineering Biology Lab4
BIOE 101Systems Biology3
BIOE 103Systems Physiology and Design4
BIOE 123Bioengineering Systems Prototyping Lab4
BIOE 141ASenior Capstone Design I4
BIOE 141BSenior Capstone Design II4
Bioengineering Depth Electives
Four courses, minimum 12 units:12
BioSecurity and Pandemic Resilience
Diagnostic Devices Lab
Mathematical Modeling of Biological Systems
Biophysics of Multi-cellular Systems and Amorphous Computing
Introduction to Biomedical Informatics Research Methodology
Representations and Algorithms for Computational Molecular Biology
Translational Bioinformatics
Introduction to Imaging and Image-based Human Anatomy
Anatomy for Bioengineers
Physics and Engineering of Radionuclide-based Medical Imaging
Physics and Engineering Principles of Multi-modality Molecular Imaging of Living Subjects
Physics and Engineering of X-Ray Computed Tomography
Probes and Applications for Multi-modality Molecular Imaging of Living Subjects
Intro to Ultrasound Physics and Ultrasound Neuromodulation
Functional MRI Methods
Protein Engineering
Advanced Frameworks and Approaches for Engineering Integrated Genetic Systems
Tissue Engineering
Computational Biology: Structure and Organization of Biomolecules and Cells
Biomechanics of Movement
Principles and Practice of Optogenetics for Optical Control of Biological Tissues
Total Units104-107

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB). Students pursuing a premed program need to take additional courses; see the UGHB, BioE Premed 4-Year Plan.

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Bioengineering with Honors (BIOE-BSH). This program provides the opportunity for qualified BioE majors to conduct independent research at an advanced level with a faculty research adviser and documented in an honors thesis.

In order to receive departmental honors, students admitted to the program must:

  1. Declare the honors program in Axess (BIOE-BSH).
  2. Maintain an overall grade point average (GPA) of at least 3.5 as calculated on the unofficial transcript.
  3. Complete at least two quarters of research with a minimum of nine units of BIOE 191 Bioengineering Problems and Experimental Investigation or BIOE 191X Out-of-Department Advanced Research Laboratory in Bioengineering for a letter grade; up to three units may be used towards the bioengineering depth elective requirements.  
  4. Submit an electronic pdf copy of their thesis, including the signature page signed by both readers, to Bioengineering student services . Students are sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.
  5. Present thesis synopsis at the Bioengineering Honors Poster Fair at the end of Spring Quarter.

For program deadlines, application instructions, and more information, please see the Bioengineering Honors Program website.

Coterminal Master's Program in Bioengineering

This option is available to Stanford undergraduates who wish to work simultaneously toward a B.S. one major as well as an M.S. in Bioengineering. The degrees may be granted simultaneously or at the conclusion of different quarters, though the bachelor’s degree cannot be awarded after the master’s degree has been granted.

The University minimum requirements for the coterminal program are 180 units for the bachelor’s degree plus 45 unduplicated units for the master’s degree.

In order to apply for the coterminal master's program students must have completed six, non-summer quarters at Stanford (two non-summer quarters for transfer students), have completed 120 undergraduate units, and must have declared the undergraduate major. They must be accepted into our program one quarter before receiving the B.S. degree.

The deadline for receiving applications is December 1, 2020. The Graduate Record Examination (GRE) is not required for admission to the M.S. or Ph.D. program in Bioengineering.

The application must provide evidence of potential for strong academic performance as a graduate student. The application is evaluated and acted upon by the graduate admissions committee of the department. Students are expected to enter with a series of core competencies in mathematics, biology, chemistry, physics, computing, and engineering. Typically, a GPA of at least 3.5 in engineering, science, and math is expected.

University Coterminal Requirements

Coterminal master’s degree candidates are expected to complete all master’s degree requirements as described in this bulletin. University requirements for the coterminal master’s degree are described in the “Coterminal Master’s Program” section. University requirements for the master’s degree are described in the "Graduate Degrees" section of this bulletin.

After accepting admission to this coterminal master’s degree program, students may request transfer of courses from the undergraduate to the graduate career to satisfy requirements for the master’s degree. Transfer of courses to the graduate career requires review and approval of both the undergraduate and graduate programs on a case by case basis.

In this master’s program, courses taken during or after the first quarter of the sophomore year are eligible for consideration for transfer to the graduate career; the timing of the first graduate quarter is not a factor. No courses taken prior to the first quarter of the sophomore year may be used to meet master’s degree requirements.

Course transfers are not possible after the bachelor’s degree has been conferred.

The University requires that the graduate advisor be assigned in the student’s first graduate quarter even though the undergraduate career may still be open. The University also requires that the Master’s Degree Program Proposal be completed by the student and approved by the department by the end of the student’s first graduate quarter.

Master of Science in Bioengineering

The Master of Science in Bioengineering requires 45 units of coursework. The curriculum consists of core bioengineering courses, technical electives, core seminars and unrestricted electives. Core courses focus on quantitative biology and biological systems analysis. Approved technical electives are chosen by the student in consultation with his/her graduate adviser, and can be selected from graduate course offerings in mathematics, statistics, engineering, physical sciences, life sciences, and medicine. Seminars highlight emerging research in bioengineering and provide training in research ethics. Unrestricted electives can be freely chosen by the student in association with his/her adviser.

Requirements

All courses for the MS degree in Bioengineering must be taken for a letter grade if offered by the instructor (only exceptions are research units). Minimum Grade Point Average (GPA) for all courses (combined) is a 3.0. The department’s requirements for the M.S. in Bioengineering are:

1. Core Bioengineering courses (10 units)

The following courses are required:

Units
BIOE 300AMolecular and Cellular Bioengineering3
BIOE 300BQuantitative Physiology3
Select two of the following:4-5
BIOE 301AMolecular and Cellular Engineering Lab2
BIOE 301BClinical Needs and Technology2
BIOE 301CDiagnostic Devices Lab2
BIOE 301DMicrofluidic Device Laboratory3-4
BIOE 301EComputational protein modeling laboratory2
BIOE 301PResearch Data & Computation2

These courses, together with the approved technical electives, should form a cohesive course of study that provides depth and breadth.

2. Approved Technical Electives (27 units)

These units must be selected from graduate courses in mathematics, statistics, engineering, physical science, life science, and medicine. They should be chosen in concert with the bioengineering courses to provide a cohesive degree program in a bioengineering focus area. Students are required to take at least one course in some area of device or instrumentation. Up to 9 units of directed study and research may be used as approved electives.

3. Core Seminars (2 units)

The seminar units should be fulfilled through:

Units
BIOE 393Bioengineering Departmental Research Colloquium1
MED 255The Responsible Conduct of Research1

Other relevant seminar units may also be used with the approval of the faculty adviser. One of the seminar units must be MED 255 The Responsible Conduct of Research.

4. Unrestricted Electives (6 units).

M.S. Program Proposal

Students are assigned an initial faculty adviser to assist them in designing a plan of study that creates a cohesive degree program.

To ensure that an appropriate program is pursued by all M.S. candidates, students who first matriculate at Stanford at the graduate level must:

  1. submit an adviser-approved Program Proposal for a Master’s Degree form to the student services office during the first month of the first quarter of enrollment
  2. obtain approval from the M.S. adviser and the Chair of Graduate Studies for any subsequent program change or changes.

It is expected that the requirements for the M.S. in Bioengineering can be completed within approximately one year. There is no thesis requirement for the M.S..

Due to the interdisciplinary nature of Bioengineering, a number of courses are offered directly through the Bioengineering Department but many are available through other departments. See respective ExploreCourses for course descriptions.

Doctor of Philosophy in Bioengineering

The University’s basic requirements for the Ph.D. degree are outlined in the “Graduate Degrees” section of this bulletin.

A student studying for the Ph.D. degree must complete a master’s degree (45 units) comparable to that of the Stanford M.S. degree in Bioengineering. Up to 45 units of master’s degree residency units may be counted towards the degree. The Ph.D. degree is awarded after the completion of a minimum of 135 units of graduate work as well as satisfactory completion of any additional University requirements. Students admitted to the Ph.D. program with an M.S. degree must complete at least 90 units of work at Stanford. The maximum number of transfer units is 45.

On the basis of the research interests expressed in their application, students are assigned an initial faculty adviser who assists them in choosing courses and identifying research opportunities. One of the most important goals of the first year is to identify a primary research adviser. The department does not require formal lab rotations, but students are encouraged to explore research activities in three or a maximum of four labs during their first academic year.

Prior to being formally admitted to candidacy for the Ph.D. degree, the student must demonstrate knowledge of Bioengineering fundamentals and a potential for research by passing a qualifying oral examination before the end of the second year.

In the beginning of the second year, the student is required to select a quantitative topic and a biology/medicine topic on which to be examined. Approximately one month before the exam, the student must submit an application containing items including a curriculum vitae, 2-3 page research project proposal, and transcript to the student services office. The exams are taken during a two-day period in Spring Quarter for all students. More information about the exam may be obtained from the student services office.

Successfully passing the qualifying exam, as well as completing the master's degree requirements, is required for students to advance to candidacy. Advancement to candidacy by University requirements must occur by the end of the Summer of the second year. Thus, all required master's degree coursework must be completed during the first two years of graduate study. Students who transfer master’s degree residency units to the Bioengineering Ph.D. degree are still required to fulfill the core course and core seminar requirements. In cases where students have already completed an equivalent course as part of their master’s degree, they may submit a petition to the graduate studies committee to have their previous coursework applied to the core bioengineering course requirement.

In addition to the course requirements of the M.S. degree, doctoral candidates must complete a minimum of 15 additional units of approved formal course work (excluding research, directed study, and seminars). Finally, serving as a teaching assistant for two courses is a requirement for the Ph.D. in Bioengineering. Both the 15 additional units and the teaching assistant requirement must be completed before the end of the 3rd year.

Dissertation Reading Committee

Each Ph.D. candidate is required to establish a reading committee for the doctoral dissertation within six months after passing the department’s Ph.D.. qualifying exams. Thereafter, the student should consult frequently with all members of the committee about the direction and progress of the dissertation research, no less than once per year.

A dissertation reading committee consists of the principal dissertation adviser and at least two other readers. Reading committees in Bioengineering may include faculty from another department. It is required that two members of the Bioengineering faculty, including primary and/or courtesy faculty be on each reading committee. The initial committee and any subsequent changes must be officially approved by the Department Chair.

University Oral and Dissertation

The Ph.D. candidate is required to take the University oral examination after the dissertation is substantially completed (with the dissertation draft in writing) but before final approval. The examination consists of a public presentation of dissertation research, followed by substantive private questioning on the dissertation and related fields by the University oral committee (four selected faculty members, plus a chair from another department). Once the oral has been passed, the student finalizes the dissertation for reading committee review and final approval. 

Ph.D. Minor in Bioengineering

Doctoral students pursuing a Ph.D. degree in a degree program other than Bioengineering may apply for the Ph.D. minor in Bioengineering. A minor is not a requirement for any degree but is available when agreed upon by the student and the major and minor department.

A student desiring a Ph.D. minor in Bioengineering must have a minor program adviser who is a regular Bioengineering faculty member. This adviser must be a member of the student's reading committee for the doctoral dissertation, and the entire reading committee must meet at least one year prior to the date of the student's dissertation defense.

The Ph.D. minor program must include at least 20 units of course work in Stanford Bioengineering or Bioengineering cognate courses at or above the 200 level. Of these 20 units, no more than 10 can be in cognate courses. All courses listed to fulfill the 20-unit requirement must be taken for a letter grade and the GPA must be at least 3.25. Courses used for a minor may not be used to also meet the requirements for a master's degree.

M.D./Ph.D. Dual Degree Program

Students interested in a career oriented towards bioengineering and medicine can pursue the combined M.D./Ph.D. degree program. Stanford has two ways to do an M.D./Ph.D. U.S. citizens and permanent residents can apply to the Medical Scientist Training Program and can be accepted with funding from both M.D. and Ph.D. programs for stipend and tuition. They then apply to the Bioengineering Ph.D. during their first or second year of M.D. training. Students not admitted to the Medical Scientist Training Program must apply to be admitted separately to the M.D. program and the Ph.D. program of their choice.

The Ph.D. is administered by the Department of Bioengineering. To be formally admitted as a Ph.D. degree candidate in this combined degree program, the student must apply through normal departmental channels and must have earned or have plans to earn an M.S. in Bioengineering or another engineering discipline at Stanford or another university. The M.S. requires 45 units of course work which consists of core bioengineering courses, technical electives, seminars, and 6 unrestricted units. It is not permissible to substitute medical school courses for the bioengineering core course requirements. Students must also pass the Department of Bioengineering Ph.D. qualifying examination.

For students fulfilling the full M.D. requirements who earned their master’s level engineering degree at Stanford, the Department of Bioengineering waives the normal departmental requirement of 15 units applied towards the Ph.D. degree beyond the master’s degree level through formal coursework. Consistent with the University Ph.D. requirements, the department accepts 15 units comprised of courses, research, or seminars approved by the student’s academic adviser and the department chair. Students not completing their M.S. engineering degree at Stanford are required to take 15 units of formal course work in engineering-related areas as determined by their academic adviser.

Joint Degree Programs in Bioengineering and the School of Law

The School of Law and the Department of Bioengineering offer joint programs leading to either a J.D. degree combined with an M.S. degree in Bioengineering or to a J.D. degree combined with a Ph.D. in Bioengineering.

The J.D./M.S. and J.D./Ph.D. degree programs are designed for students who wish to prepare themselves intensively for careers in areas relating to both law and bioengineering. Students interested in either joint degree program must apply and gain entrance separately to the School of Law and the Department of Bioengineering and, as an additional step, must secure permission from both academic units to pursue degrees in those units as part of a joint degree program. Interest in either joint degree program should be noted on the student's admission applications and may be considered by the admissions committee of each program. Alternatively, an enrolled student in either the Law School or the Bioengineering Department may apply for admission to the other program and for joint degree status in both academic units after commencing study in either program.

Joint degree students may elect to begin their course of study in either the School of Law or the Department of Bioengineering. Faculty advisers from each academic unit will participate in the planning and supervision of the student's joint program. Students must be enrolled full time in the Law School for the first year of law school, and, at some point during the joint program, may be required to devote one or more quarters largely or exclusively to studies in the Bioengineering program regardless of whether enrollment at that time is in the Law School or in the Department of Bioengineering. At all other times, enrollment may be in the graduate school or the Law School, and students may choose courses from either program regardless of where enrolled. Students must satisfy the requirements for both the J.D. and the M.S. or Ph.D. degrees as specified in the Stanford Bulletin or elsewhere.

The Law School shall approve courses from the Bioengineering Department that may count toward the J.D. degree, and the Bioengineering Department shall approve courses from the Law School that may count toward the M.S. or Ph.D. degree in Bioengineering. In either case, approval may consist of a list applicable to all joint degree students or may be tailored to each individual student's program. The lists may differ depending on whether the student is pursuing an M.S. or a Ph.D. in Bioengineering.

In the case of a J.D./MS program, no more than 45 units of approved courses may be counted toward both degrees. In the case of a J.D./Ph.D. program, no more than 54 units of approved courses may be counted toward both degrees. In either case, no more than 36 units of courses that originate outside the Law School may count toward the law degree. To the extent that courses under this joint degree program originate outside of the Law School but count toward the law degree, the law school credits permitted under Section 17(1) of the Law School Regulations shall be reduced on a unit-per-unit basis, but not below zero. The maximum number of law school credits that may be counted toward the M.S. or Ph.D. in Bioengineering is the greater of: (i) 15 units; or (ii) the maximum number of units from courses outside of the department that M.S. or Ph.D. candidates in Bioengineering are permitted to count toward the applicable degree under general departmental guidelines or in the case of a particular student's individual program. Tuition and financial aid arrangements will normally be through the school in which the student is then enrolled.

COVID-19 Policies

On July 30, the Academic Senate adopted grading policies effective for all undergraduate and graduate programs, excepting the professional Graduate School of Business, School of Law, and the School of Medicine M.D. Program. For a complete list of those and other academic policies relating to the pandemic, see the "COVID-19 and Academic Continuity" section of this bulletin.

The Senate decided that all undergraduate and graduate courses offered for a letter grade must also offer students the option of taking the course for a “credit” or “no credit” grade and recommended that deans, departments, and programs consider adopting local policies to count courses taken for a “credit” or “satisfactory” grade toward the fulfillment of degree-program requirements and/or alter program requirements as appropriate.


Undergraduate Degree Requirements

Grading

The Bioengineering department counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of undergraduate degree requirements that otherwise require a letter grade.

Students are encouraged to enroll in the letter grade option for degree requirements whenever possible.

Other Undergraduate Policies

Honors students are required to enroll and receive letter grades for any courses that offer letter grades for their degree requirements. The minimum GPA requirement to receive departmental honors is a 3.5 cumulative GPA. 

Graduate Degree Requirements

Grading

The Bioengineering department counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of graduate degree requirements that otherwise require a letter grade.

Students are encouraged to enroll in the letter grade option for degree requirements whenever possible.

Graduate Advising Expectations

The Department of Bioengineering is committed to providing academic advising in support of graduate student scholarly and professional development. When most effective, this advising relationship entails collaborative and sustained engagement by both the adviser and the advisee. As a best practice, advising expectations should be periodically discussed and reviewed to ensure mutual understanding. Both the adviser and the advisee are expected to maintain professionalism and integrity.

Graduate students are active contributors to the advising relationship, proactively seeking academic and professional guidance and taking responsibility for informing themselves of policies and degree requirements for their graduate program.

For a statement of University policy on graduate advising, see the "Graduate Advising" section of this bulletin.

Master's Advising

At the start of graduate study, each student is assigned a master’s program adviser: a member of our faculty who  provide guidance in course selection and in exploring academic opportunities and professional pathways. The department’s graduate handbook provides information and suggested timelines for advising meetings. Usually, the same faculty member serves as a program adviser for the duration of master’s study, but the handbook does describe a process for formal adviser changes.

In addition, the faculty Director of Graduate Studies (DGS) is available during the academic year by email and during office hours.

The department’s student services office is also an important part of the master’s advising team. They inform students and advisers about University and department requirements, procedures, and opportunities, and they maintain the official records of advising assignments and approvals.

Doctoral Advising

Faculty advisers guide students in key areas such as selecting courses, designing and conducting research, developing of teaching pedagogy, navigating policies and degree requirements, and exploring academic opportunities and professional pathways. The department’s graduate handbook provides information and suggested timelines for advising meetings in the different stages of the doctoral program.

Ph.D. students are initially assigned a program adviser on the basis of the interests expressed in their application. This faculty member provides initial guidance in course selection, in exploring academic opportunities and professional pathways, and in identifying doctoral research opportunities.

Students identify their doctoral research/thesis adviser prior to the end of the first year of study. The research adviser assumes primary responsibility for the future direction of the student, taking on the roles previously filled by the program adviser, and ultimately directs the student’s dissertation. Most students find an adviser from among the primary faculty members of our department. However, the research adviser may be a faculty member from another Stanford department who is a member of the Academic Council, familiar with supervising doctoral students, and able to provide both advising and funding for the duration of the doctoral program. When the research adviser is from outside our department, the student must identify reading committee members from the BioE faculty.

MCL faculty may not be the primary advisers of students. Although a co-adviser from the MCL line is permissible in some situations, the primary adviser must provide at least 50% of the mentoring for the student. Evidence that a student is receiving greater than 50% of mentoring from the primary adviser include: full attendance of lab meetings, regular one-on-one meetings, dedicated space in the primary adviser's lab, funding provided by the primary adviser, and research being performed in an area that is of current relevance to the primary adviser. Advising situations that do not meet these criteria are subject to review by the graduate studies committee.

Throughout the Ph.D., each student is required to fill out an annual Individual Developmental Plan (IDP), usually in the Summer. The IDP is then discussed with the research adviser, as a way to facilitate: advising the student, both during and beyond the PhD; establishing clear expectations on both sides with respect to degree progress and timely graduation; and emphasizing the importance of wellness in graduate school, together with access to University wellness resources.

The Faculty Director of Graduate Studies (DGS) is also available during the academic year by email and during office hours. The department’s student services office is also an important part of the doctoral advising team: they inform students and advisers about University and department requirements, procedures, and opportunities, and they maintain the official records of advising assignments and approvals. Students are encouraged to talk with the DGS and the student services office as they consider adviser selection or for guidance in working with their adviser(s).

Chair: Jennifer R. Cochran

Director of Undergraduate Studies: Karl Deisseroth

Director of Graduate Studies: Markus Willard Covert

Professors: Russ B. Altman, Kwabena Boahen, Wah Chiu, Jennifer R. Cochran, Markus Willard Covert, Karl Deisseroth, Scott L. Delp, Norbert J. Pelc, Stephen R. Quake, Christina D. Smolke, James R. Swartz, Paul Yock

Associate Professors: Annelise E. Barron, Zev David Bryant,  David B. Camarillo, Andrew Endy, Michael Fischbach, Kerwyn C. Huang, Jin Hyung Lee, Michael Z. Lin, Jan T. Liphardt, Alison Lesley Marsden, Manu Prakash, Fan Yang

Assistant Professors: Lacramioara Bintu, Polly M. Fordyce, Possu Huang, Paul Nuyujukian, Lei Stanley Qi, Mark Skylar-Scott, Bo Wang

Professors, by courtesy: Bruce L. Daniel, James Dunn, Jeffrey A. Feinstein, Daniel S. Fisher, Garry E. Gold, Stuart B. Goodman, Geoffrey C. Gurtner, Brian Hargreaves, Thomas M. Krummel, Ellen Kuhl, Craig Levin, Michael T. Longaker, David Magnus, Lloyd B. Minor, Kim Butts Pauly, Krishna Shenoy, Paul J. Wang, Yiping Joseph Woo

Associate Professors, by courtesy: Sarah Heilshorn, Marc E. Levenston, Sakti Srivastava, Yunzhi Peter Yang

Assistant Professors, by courtesy: Eric Appel, Mary Frances Nunez Teruel, James K. Wall

Adjunct Professors: Uday Kumar, John Linehan, Vijay Pande, Marc L. Salit, Gordon Saul, Charles A. Taylor

Lecturers: Megan Palmer, Michael Specter, Joseph Towles, Ross D. Venook, Paul Vorster

Graduate Related Courses

Units
BIOMEDIN 210Modeling Biomedical Systems3
BIOMEDIN 217Translational Bioinformatics4
EE 369AMedical Imaging Systems I3
EE 369BMedical Imaging Systems II3
ME 287Mechanics of Biological Tissues4

Courses

BIOE 10SC. Needs Finding in Healthcare. 2 Units.

Are you on an engineering pathway, but trying to decide if opportunities in healthcare might be of interest to you? Or, are you committed to a career in healthcare, but eager to explore how to incorporate technology innovation into your plans? In either case, Needs Finding in Healthcare is the Sophomore College for you!nnMany courses offered during the regular academic year provide students with the opportunity to understand healthcare problems and invent new technologies to address them. But none give undergraduates the chance to observe the delivery of healthcare in the real world and identify important unmet needs for themselves¿until now! nnNeeds Finding in Healthcare is a new Sophomore College program offered by Professor Paul Yock and the Stanford Biodesign team. We¿re looking for students who are passionate about innovation and interested in how technology can be applied to help make healthcare better for patients everywhere. Over three weeks, you¿ll spend time: learning the fundamentals of the biodesign innovation process for health technology innovation, performing first-hand observations of care delivery in the Stanford¿s hospital and clinics ¿ specifically in surgery and the emergency room ¿ to identify compelling unmet needs, conducting background research and interacting with physicians and patients to understand and prioritize those needs, and brainstorming and building early-stage prototypes to enhance your understanding of the unmet need and critical requirements for solving it. nnIn addition, you¿ll meet experienced innovators from the health technology field and explore different career pathways in this dynamic space. Join us if you want to make a difference at the intersection of medicine and engineering!nnOther requirements/information:nnOver the summer, students will be need to work with Stanford Biodesign to gain medical clearance to perform observations in the Stanford Hospital and Clinics. This will involve completing required paperwork, submitting vaccination records, and making a trip to the School of Medicine badging office. Complete instructions and important deadlines will be provided upon acceptance into the program.

BIOE 32Q. Bon Appétit, Marie Curie! The Science Behind Haute Cuisine. 3 Units.

This seminar is for anyone who loves food, cooking or science! We will focus on the science and biology behind the techniques and the taste buds. Not a single lecture will pass by without a delicious opportunity - each weekly meeting will include not only lecture, but also a lab demonstration and a chance to prepare classic dishes that illustrate that day's scientific concepts.

BIOE 36Q. The Biophysics of Innate Immunity. 3 Units.

The innate immune system provides our first line of defense against disease--bothninfections, and cancer. Innate immune effectors such as host defense peptides arendeployed by numerous cell types (for instance neutrophils, macrophages, NK cells,nepithelial cells and keratinocytes) and work by biophysical mechanisms of action. The ourse draws from the primary literature and covers the evolution, structures, mechanisms,and physiological functions of important "innate immune effectors" (components of the innate immune system that can attack pathogens, and infected or host cells, and kill or incapacitate them directly). The course is aimed at students who have an interest in biochemistry, molecular/cellular biology, biophysics, and/or bioengineering.

BIOE 42. Physical Biology. 4 Units.

BIOE 42 is designed to introduce students to general engineering principles that have emerged from theory and experiments in biology. Topics covered will cover the scales from molecules to cells to organisms, including fundamental principles of entropy, diffusion, and continuum mechanics. These topics will link to several biological questions, including DNA organization, ligand binding, cytoskeletal mechanics, and the electromagnetic origin of nerve impulses. In all cases, students will learn to develop toy models that can explain quantitative measurements of the function of biological systems. Prerequisites: MATH 19, 20, 21 CHEM 31A, B (or 31X), PHYSICS 41; strongly recommended: CS 106A, CME 100 or MATH 51, and CME 106; or instructor approval.

BIOE 44. Fundamentals for Engineering Biology Lab. 4 Units.

An introduction to next-generation techniques in genetic, molecular, biochemical, and cellular engineering. Lectures cover advances in the field of synthetic biology with emphasis on genetic engineering, CRISPR gene editing technology, the DIY bio movement, plasmid design, gene synthesis, genetic circuits, safety and bio ethics. At-home lab modules will teach students how to isolate DNA from living matter, make genetic alterations by plasmid transformations and introduce students to experimental design. During the final weeks of the course students work in groups to design a DNA device. Group projects will build upon current research including: gene and genome engineering via decoupled design, component engineering with a focus on molecular design and quantitative analysis of experiments, device and system engineering using abstracted genetically encoded objects, and product development based on useful applications of biological technologies. Concurrent or previous enrollment in BIO 82 or BIO 83.

BIOE 51. Anatomy for Bioengineers. 4 Units.

Fundamental human anatomy, spanning major body systems and tissues including nerve, muscle, bone, cardiovascular, respiratory, gastrointestinal, and renal systems. Explore intricacies of structure and function, and how various body parts come together to form a coherent and adaptable living being. Correlate clinical conditions and therapeutic interventions. Participate in lab sessions with predissected cadaveric material and hands-on learning to gain understanding of the bioengineering human application domain. Encourage anatomical thinking, defining challenges and opportunities for bioengineers.

BIOE 60. Beyond Bitcoin: Applications of Distributed Trust. 1 Unit.

In the past, people have relied on trusted third parties to facilitate the transactions that define our lives: how we store medical records, how we share genomic information with scientists and drug companies, where we get our news, and how we communicate. Advances in distributed systems and cryptography allow us to eschew such parties. Today, we can create a global, irrefutable ledger of transactions, events, and diagnoses, such that rewriting history is computationally infeasible. What can we build on top of such a powerful data structure? What are the consequences of pseudo-legal contracts and promises written in mathematical ink? In this class, we will bring together experts in cryptography, healthcare, and distributed consensus with students across the university. The first weeks present a technical overview of block chain primitives. In the following weeks, the class will focus on discussing applications and policy issues through lectures and guest speakers from various domains across both academia and industry. Limited enrollment, subject to instructor approval.

BIOE 70Q. Medical Device Innovation. 3 Units.

BIOE 70Q invites students to apply design thinking to the creation of healthcare technologies. Students will learn about the variety of factors that shape healthcare innovation, and through hands-on design projects, invent their own solutions to clinical needs. Guest instructors will include engineers, doctors, entrepreneurs, and others who have helped bring ideas from concept to clinical use.

BIOE 72N. Pathophysiology and Design for Cardiovascular Disease. 3 Units.

Future physicians, social and biological scientists, and engineers will be the core of teams that solve major problems threatening human health. Bridging these diverse areas will require thinkers who can understand human biology and also think broadly about approaching such challenges.nnFocusing on heart disease, students in this seminar will learn about the multi-factorial problems leading to the leading cause of death in the U.S., along with how to apply design thinking to innovate in the context of healthcare.

BIOE 80. Introduction to Bioengineering (Engineering Living Matter). 4 Units.

Students completing BIOE.80 should have a working understanding for how to approach the systematic engineering of living systems to benefit all people and the planet. Our main goals are (1) to help students learn ways of thinking about engineering living matter and (2) to empower students to explore the broader ramifications of engineering life. Specific concepts and skills covered include but are not limited to: capacities of natural life on Earth; scope of the existing human-directed bioeconomy; deconstructing complicated problems; reaction & diffusion systems; microbial human anatomy; conceptualizing the engineering of biology; how atoms can be organized to make molecules; how to print DNA from scratch; programming genetic sensors, logic, & actuators; biology beyond molecules (photons, electrons, etc.); what constraints limit what life can do?; what will be the major health challenges in 2030?; how does what we want shape bioengineering?; who should choose and realize various competing bioengineering futures?.
Same as: ENGR 80

BIOE 91B. Race in Technology. 1 Unit.

What are the roles of race and racism in science, technology, and medicine? 3-course sequence; each quarter can be taken independently. Winter quarter focuses on technology. How do race and racism affect the design and social impact of technology, broadly defined? Can new or different technology help to reduce racial bias? Invited speakers will address the role of race in such issues as energy infrastructure, nuclear arms control, algorithmic accountability, machine learning, artificial intelligence, and synthetic biology. Talks will take a variety of forms, ranging from panel discussions to interviews and lectures. Weekly assignments: read a related article and participate in an online discussion.
Same as: AFRICAAM 51B, CEE 151B, COMM 51B, CSRE 51B, HUMBIO 71B, STS 51B

BIOE 91C. Race in Medicine. 1 Unit.

What are the roles of race and racism in science, technology, and medicine? 3-course sequence; each quarter can be taken independently. Spring quarter focuses on medicine. How do race and racism affect medical research and medical care? What accounts for health disparities among racial groups? What are the history, ethics, legal, and social issues surrounding racialized medical experiments and treatments? Invited speakers will address these and other issues. Talks will take a variety of forms: conversations, interviews, panels, and others. Weekly assignments: read a related article and participate in an online discussion.
Same as: AFRICAAM 51C, CEE 151C, CSRE 51C, HUMBIO 71C, STS 51C

BIOE 101. Systems Biology. 3 Units.

Complex biological behaviors through the integration of computational modeling and molecular biology. Topics: reconstructing biological networks from high-throughput data and knowledge bases. Network properties. Computational modeling of network behaviors at the small and large scale. Using model predictions to guide an experimental program. Robustness, noise, and cellular variation. Prerequisites: CME 102; BIO 82, BIO 84; or consent of instructor.
Same as: BIOE 210

BIOE 102. Physical Biology of Macromolecules. 4 Units.

Principles of statistical physics, thermodynamics, and kinetics with applications to molecular biology. Topics include entropy, temperature, chemical forces, enzyme kinetics, free energy and its uses, self assembly, cooperative transitions in macromolecules, molecular machines, feedback, and accurate replication. Prerequisites: MATH 19, 20, 21; CHEM 31A, B (or 31X); strongly recommended: PHYSICS 41, CME 100 or MATH 51, and CME 106; or instructor approval.

BIOE 103. Systems Physiology and Design. 4 Units.

Physiology of intact human tissues, organs, and organ systems in health and disease, and bioengineering tools used (or needed) to probe and model these physiological systems. Topics: Clinical physiology, network physiology and system design/plasticity, diseases and interventions (major syndromes, simulation, and treatment, instrumentation for intervention, stimulation, diagnosis, and prevention), and new technologies including tissue engineering and optogenetics.  Discussions of pathology of these systems in a clinical-case based format, with a view towards identifying unmet clinical needs.  Learning computational skills that not only enable simulation of these systems but also apply more broadly to biomedical data analysis. Prerequisites: CME 102; PHYSICS 41; BIO 82, BIO 84.

BIOE 103B. Systems Physiology and Design. 4 Units.

*ONLINE Offering of BIOE 103. This pilot class, BIOE103B, is an entirely online offering with the same content, learning goals, and prerequisites as BIOE 103. Students attend class by watching videos and completing assignments remotely. Students may attend recitation and office hours in person, but cannot attend the BIOE103 in-person lecture due to room capacity restraints.* Physiology of intact human tissues, organs, and organ systems in health and disease, and bioengineering tools used (or needed) to probe and model these physiological systems. Topics: Clinical physiology, network physiology and system design/plasticity, diseases and interventions (major syndromes, simulation, and treatment, instrumentation for intervention, stimulation, diagnosis, and prevention), and new technologies including tissue engineering and optogenetics. Discussions of pathology of these systems in a clinical-case based format, with a view towards identifying unmet clinical needs. Learning computational skills that not only enable simulation of these systems but also apply more broadly to biomedical data analysis. Prerequisites: CME 102; PHYSICS 41; BIO 82, BIO 84. strongly recommended PHYSICS 43. Enrollment with Instructor approval.

BIOE 122. BioSecurity and Pandemic Resilience. 4-5 Units.

Overview of the most pressing biosecurity issues facing the world today, with a special focus on the COVID-19 pandemic. Critical examination of ways of enhancing biosecurity and pandemic resilience to the current and future pandemics. Examination of how the US and the world is able to withstand a pandemic or a bioterrorism attack, how the medical/healthcare field, government, and technology sectors are involved in biosecurity and pandemic or bioterrorism preparedness and response and how they interface; the rise of synthetic biology with its promises and threats; global bio-surveillance; effectiveness of various containment and mitigation measures; hospital surge capacity; medical challenges; development, production, and distribution of countermeasures such as vaccines and drugs; supply chain challenges; public health and policy aspects of pandemic preparedness and response; administrative and engineering controls to enhance pandemic resilience; testing approaches and challenges; promising technologies for pandemic response and resilience, and other relevant topics. Guest lecturers have included former Secretary of State Condoleezza Rice, former Special Assistant on BioSecurity to Presidents Clinton and Bush Jr. Dr. Ken Bernard, Chief Medical Officer of the Homeland Security Department Dr. Alex Garza, eminent scientists, public health leaders, innovators and physicians in the field, and leaders of relevant technology companies. Open to medical, graduate, and undergraduate students. No prior background in biology necessary.
Same as: EMED 122, EMED 222, PUBLPOL 122, PUBLPOL 222

BIOE 123. Bioengineering Systems Prototyping Lab. 4 Units.

The Bioengineering System Prototyping Laboratory is a fast-paced, team-based system engineering experience, in which teams of 2-3 students design and build a fermenter that meets a set of common requirements along with a set of unique team-determined requirements. Students learn-by-doing hands-on skills in electronics and mechanical design and fabrication. Teams also develop process skills and an engineering mindset by aligning specifications with requirements, developing output metrics and measuring performance, and creating project proposals and plans. The course culminates in demonstration of a fully functioning fermenter that meets the teams' self-determined metrics. n nLearning goals: 1) Design, fabricate, integrate, and characterize practical electronic and mechanical hardware systems that meet clear requirements in the context of Bioengineering (i.e., build something that works). 2) Use prototyping tools, techniques, and instruments, including: CAD, 3D printing, laser cutting, microcontrollers, and oscilloscopes. 3) Create quantitative system specifications and test measurement plans to demonstrate that a design meets user requirements. 4) Communicate design elements, choices, specifications, and performance through design reviews and written reports. 5) Collaborate as a team member on a complex system design project (e.g., a fermenter). n nLimited enrollment, with priority for Bioengineering undergraduates. Prerequisites: PHYSICS 43, or equivalent. Experience with Matlab and/or Python is recommended.

BIOE 131. Ethics in Bioengineering. 3 Units.

Bioengineering focuses on the development and application of new technologies in the biology and medicine. These technologies often have powerful effects on living systems at the microscopic and macroscopic level. They can provide great benefit to society, but they also can be used in dangerous or damaging ways. These effects may be positive or negative, and so it is critical that bioengineers understand the basic principles of ethics when thinking about how the technologies they develop can and should be applied. On a personal level, every bioengineer should understand the basic principles of ethical behavior in the professional setting. This course will involve substantial writing, and will use case-study methodology to introduce both societal and personal ethical principles, with a focus on practical applications.
Same as: ETHICSOC 131X

BIOE 141A. Senior Capstone Design I. 4 Units.

Lecture/Lab. First course of two-quarter capstone sequence. Team based project introduces students to the process of designing new biological technologies to address societal needs. Topics include methods for validating societal needs, brainstorming, concept selection, and the engineering design process. First quarter deliverable is a design for the top concept. Second quarter involves implementation and testing. Guest lectures and practical demonstrations are incorporated. Prerequisites: BIOE 123 and BIOE 44. This course is open only to seniors in the undergraduate Bioengineering program.

BIOE 141B. Senior Capstone Design II. 4 Units.

Lecture/Lab. Second course of two-quarter capstone sequence. Team based project introduces students to the process of designing new biological technologies to address societal needs. Emphasis is on implementing and testing the design from the first quarter with the at least one round of prototype iteration. Guest lectures and practical demonstrations are incorporated. Prerequisites: BIOE123 and BIOE44. This course is open only to seniors in the undergraduate Bioengineering program. IMPORTANT NOTE: class meets in Shriram 112.

BIOE 150. Biochemical Engineering. 3 Units.

Combines biological knowledge and methods with quantitative engineering principles. Quantitative review of biochemistry and metabolism as well as recombinant DNA technology and synthetic biology (metabolic engineering). The course begins with a review of basic cell biology, proceeds to bioprocess design and development, and ends with applied synthetic biology methods and examples. Prerequisite: CHEMENG 181 or equivalent.
Same as: CHEMENG 150, CHEMENG 250

BIOE 158. Soft Matter in Biomedical Devices, Microelectronics, and Everyday Life. 4 Units.

The relationships between molecular structure, morphology, and the unique physical, chemical, and mechanical behavior of polymers and other types of soft matter are discussed. Topics include methods for preparing synthetic polymers and examination of how enthalpy and entropy determine conformation, solubility, mechanical behavior, microphase separation, crystallinity, glass transitions, elasticity, and linear viscoelasticity. Case studies covering polymers in biomedical devices and microelectronics will be covered. Recommended: ENGR 50 and CHEM 31A or equivalent.
Same as: MATSCI 158

BIOE 177. Inventing the Future. 4 Units.

The famous computer scientist, Alan Kay, once said, "The best way to predict the future is to invent it." As such, we are all responsible for inventing the future we hope we and our descendants will experience. In this highly interactive course, we will be exploring how to predict and invent the future and why this is important by focusing on a wide range of frontier technologies, such as robotics, AI, genomics, autonomous vehicles, blockchain, 3D Printing, VR/AR, synthetic meat, etc. The class will feature debates in which students present utopian and dystopian scenarios, and determine what has to be done to inoculate ourselves against the negative consequences. Limited enrollment. Admission by application: dschool.stanford.edu/classes.

BIOE 191. Bioengineering Problems and Experimental Investigation. 1-5 Unit.

Directed study and research for undergraduates on a subject of mutual interest to student and instructor. Prerequisites: consent of instructor and adviser. (Staff).

BIOE 191X. Out-of-Department Advanced Research Laboratory in Bioengineering. 1-15 Unit.

Individual research by arrangement with out-of-department instructors. Credit for 191X is restricted to declared Bioengineering majors pursuing honors and requires department approval. See http://bioengineering.stanford.edu/education/undergraduate.html for additional information. May be repeated for credit.

BIOE 193. Interdisciplinary Approaches to Human Health Research. 1 Unit.

For undergraduate students participating in the Stanford ChEM-H Undergraduate Scholars Program. This course will expose students to interdisciplinary research questions and approaches that span chemistry, engineering, biology, and medicine. Focus is on the development and practice of scientific reading, writing, and presentation skills intended to complement hands-on laboratory research. Students will read scientific articles, write research proposals, make posters, and give presentations.
Same as: BIO 193, CHEM 193, CHEMENG 193

BIOE 196. INTERACTIVE MEDIA AND GAMES. 1 Unit.

Interactive media and games increasingly pervade and shape our society. In addition to their dominant roles in entertainment, video games play growing roles in education, arts, and science. This seminar series brings together a diverse set of experts to provide interdisciplinary perspectives on these media regarding their history, technologies, scholarly research, industry, artistic value, and potential future.
Same as: BIOPHYS 196, CS 544

BIOE 199A. Inventing Synthetic Biosystems. 1-2 Unit.

Biology as a technology is burgeoning, leading to diverse cultural, economic, geopolitical, and natural outcomes. Students in this course will learn to step back from the overwhelming immediacy of biotechnology's application and to instead adopt a culture of play that enables qualitative expansion of ideas and possibilities. So enriched students will also learn to map ideas onto a future constrained by practical realities and market dynamics. Active in-class participation and a team-based final project are required.

BIOE 201C. Diagnostic Devices Lab. 2 Units.

This course exposes students to the engineering principles and clinical application of medical devices through lectures and hands-on labs, performed in teams of two. Teams take measurements with these devices and fit their data to theory presented in the lecture. Devices covered include X-ray, CT, MRI, EEG, ECG, Ultrasound and BMI (Brain-machine interface). Prerequisites: BIOE 103 or BIOE 300B.
Same as: BIOE 301C

BIOE 209. Mathematical Modeling of Biological Systems. 3 Units.

The course covers mathematical and computational techniques needed to solve advanced problems encountered in applied bioengineering. Fundamental concepts are presented in the context of their application to biological and physiological problems including cancer, cardiovascular disease, infectious disease, and systems biology. Topics include Taylor's Series expansions, parameter estimation, regression, nonlinear equations, linear systems, optimization, numerical differentiation and integration, stochastic methods, ordinary differential equations and Fourier series. Python, Matlab and other software will be used for weekly assignments and projects.nPrerequisites: MATH 51, 52, 53; prior programming experience (Matlab or other language at level of CS 106A or higher).
Same as: CME 209

BIOE 210. Systems Biology. 3 Units.

Complex biological behaviors through the integration of computational modeling and molecular biology. Topics: reconstructing biological networks from high-throughput data and knowledge bases. Network properties. Computational modeling of network behaviors at the small and large scale. Using model predictions to guide an experimental program. Robustness, noise, and cellular variation. Prerequisites: CME 102; BIO 82, BIO 84; or consent of instructor.
Same as: BIOE 101

BIOE 211. Biophysics of Multi-cellular Systems and Amorphous Computing. 2-3 Units.

Provides an interdisciplinary perspective on the design, emergent behavior, and functionality of multi-cellular biological systems such as embryos, biofilms, and artificial tissues and their conceptual relationship to amorphous computers. Students discuss relevant literature and introduced to and apply pertinent mathematical and biophysical modeling approaches to various aspect multi-cellular systems, furthermore carry out real biology experiments over the web. Specific topics include: (Morphogen) gradients; reaction-diffusion systems (Turing patterns); visco-elastic aspects and forces in tissues; morphogenesis; coordinated gene expression, genetic oscillators and synchrony; genetic networks; self-organization, noise, robustness, and evolvability; game theory; emergent behavior; criticality; symmetries; scaling; fractals; agent based modeling. The course is geared towards a broadly interested graduate and advanced undergraduates audience such as from bio / applied physics, computer science, developmental and systems biology, and bio / tissue / mechanical / electrical engineering. Prerequisites: Previous knowledge in one programming language - ideally Matlab - is recommended; undergraduate students benefit from BIOE 42, or equivalent.
Same as: BIOE 311, BIOPHYS 311, DBIO 211

BIOE 212. Introduction to Biomedical Informatics Research Methodology. 3-5 Units.

Capstone Biomedical Informatics (BMI) experience. Hands-on software building. Student teams conceive, design, specify, implement, evaluate, and report on a software project in the domain of biomedicine. Creating written proposals, peer review, providing status reports, and preparing final reports. Issues related to research reproducibility. Guest lectures from professional biomedical informatics systems builders on issues related to the process of project management. Software engineering basics. Because the team projects start in the first week of class, attendance that week is strongly recommended. Prerequisites: BIOMEDIN 210 or 214 or 215 or 217 or 260. Preference to BMI graduate students. Consent of instructor required.
Same as: BIOMEDIN 212, CS 272, GENE 212

BIOE 213. Stochastic and Nonlinear Dynamics. 3 Units.

Theoretical analysis of dynamical processes: dynamical systems, stochastic processes, and spatiotemporal dynamics. Motivations and applications from biology and physics. Emphasis is on methods including qualitative approaches, asymptotics, and multiple scale analysis. Prerequisites: ordinary and partial differential equations, complex analysis, and probability or statistical physics.
Same as: APPPHYS 223, BIO 223, PHYSICS 223

BIOE 214. Representations and Algorithms for Computational Molecular Biology. 3-4 Units.

Topics: introduction to bioinformatics and computational biology, algorithms for alignment of biological sequences and structures, computing with strings, phylogenetic tree construction, hidden Markov models, basic structural computations on proteins, protein structure prediction, protein threading techniques, homology modeling, molecular dynamics and energy minimization, statistical analysis of 3D biological data, integration of data sources, knowledge representation and controlled terminologies for molecular biology, microarray analysis, machine learning (clustering and classification), and natural language text processing. Prerequisite: CS 106B; recommended: CS161; consent of instructor for 3 units.
Same as: BIOMEDIN 214, CS 274, GENE 214

BIOE 215. Physics-Based Simulation of Biological Structure. 3 Units.

Modeling, simulation, analysis, and measurement of biological systems. Computational tools for determining the behavior of biological structures- from molecules to organisms. Numerical solutions of algebraic and differential equations governing biological processes. Simulation laboratory examples in biology, engineering, and computer science. Limited enrollment. Prerequisites: basic biology, mechanics (F=ma), ODEs, and proficiency in C or C++ programming.

BIOE 217. Translational Bioinformatics. 3-4 Units.

Computational methods for the translation of biomedical data into diagnostic, prognostic, and therapeutic applications in medicine. Topics: multi-scale omics data generation and analysis, utility and limitations of public biomedical resources, machine learning and data mining, issues and opportunities in drug discovery, and mobile/digital health solutions. Case studies and course project. Prerequisites: programming ability at the level of CS 106A and familiarity with biology and statistics.
Same as: BIOMEDIN 217, CS 275, GENE 217

BIOE 219. Special Topics in Development and Cancer: Evolutionary and Quantitative Perspectives. 3 Units.

The course will serve as a literature-based introductory guide for synthesis of ideas in developmental biology and cancer, with an emphasis on evolutionary analysis and quantitative thinking. The goal for this course is for students to understand how we know what we know about fundamental questions in the field of developmental biology and cancer, and how we ask good questions for the future. We will discuss how studying model organisms has provided the critical breakthroughs that have helped us understand developmental and disease mechanisms in higher organisms. The students are expected to be able to read the primary literature and think critically about experiments to understand what is actually known and what questions still remain unanswered. Students will develop skills in the educated guesswork to apply order-of-magnitude methodology to questions in development and cancer.
Same as: DBIO 219

BIOE 220. Introduction to Imaging and Image-based Human Anatomy. 3 Units.

Focus on learning the fundamentals of each imaging modality including X-ray Imaging, Ultrasound, CT, and MRI, to learn normal human anatomy and how it appears on medical images, to learn the relative strengths of the modalities, and to answer, "What am I looking at?" Course website: http://bioe220.stanford.edu.
Same as: RAD 220

BIOE 221. Physics and Engineering of Radionuclide-based Medical Imaging. 3 Units.

Physics, instrumentation, and algorithms for radionuclide-based medical imaging, with a focus on positron emission tomography (PET) and single photon emission computed tomography (SPECT). Topics include basic physics of photon emission from the body and detection, sensors, readout and data acquisition electronics, system design, strategies for tomographic image reconstruction, system calibration and data correction algorithms, methods of image quantification, and image quality assessment, and current developments in the field. Prerequisites: A year of university-level mathematics and physics.
Same as: RAD 221

BIOE 221G. Gut Microbiota in Health and Disease. 3 Units.

Preference to graduate students. Focus is on the human gut microbiota. Students will receive instruction on computational approaches to analyze microbiome data and must complete a related project.
Same as: GENE 208, MI 221

BIOE 222. Physics and Engineering Principles of Multi-modality Molecular Imaging of Living Subjects. 3-4 Units.

Physics and Engineering Principles of Multi-modality Molecular Imaging of Living Subjects (RAD 222A). Focuses on instruments, algorithms and other technologies for non-invasive imaging of molecular processes in living subjects. Introduces research and clinical molecular imaging modalities, including PET, SPECT, MRI, Ultrasound, Optics, and Photoacoustics. For each modality, lectures cover the basics of the origin and properties of imaging signal generation, instrumentation physics and engineering of signal detection, signal processing, image reconstruction, image data quantification, applications of machine learning, and applications of molecular imaging in medicine and biology research.
Same as: RAD 222

BIOE 223. Physics and Engineering of X-Ray Computed Tomography. 3 Units.

CT scanning geometries, production of x-rays, interactions of x-rays with matter, 2D and 3D CT reconstruction, image presentation, image quality performance parameters, system components, image artirfacts, radiation dose. Prerequisites: differential and integral calculus. Knowledge of Fourier transforms (EE261) recommended.
Same as: RAD 223

BIOE 224. Probes and Applications for Multi-modality Molecular Imaging of Living Subjects. 4 Units.

We will focus on design, development, and application of imaging agents that target specific cellular and molecular aspects of disease. Covers the strengths and limitations of different imaging agents and how to optimize their design for image-guided intra-operative procedures, brain imaging, probing infection, or interrogating tumor metabolism. Emphasis this year will be on clinical molecular imaging, state-of-the-art strategies for early detection of dementia, imaging response to cancer immunotherapy, and how ¿Deep Learning¿ can be used for probe design and high-throughput automated image analysis.
Same as: RAD 224

BIOE 225. Intro to Ultrasound Physics and Ultrasound Neuromodulation. 3 Units.

This course covers the basic concepts of ultrasound physics including acoustic properties of biological tissues, transducer hardware, beam formation, and beam modeling. The course will then cover basic neuronal physiology and how ultrasound can be used to affect it. It will cover how we study ultrasound neuromodulation through animal models and human studies. The course will conclude with a series of lectures on the breadth of research on ultrasonic manipulation of behavior and psychiatric disorders.Course website: http://bioe225.stanford.edu.
Same as: RAD 225

BIOE 226. MRI Spin Physics, Relaxation Theory, and Contrast Mechanisms. 3 Units.

This course covers fundamental principles of magnetic resonance imaging (MRI) and spectroscopy (MRS) focusing on the analytic tools needed to understand interactions among nuclear spins, relaxation processes, and image contrast. Starting from a quantum mechanical description of NMR, we'll study J-coupling, the most mathematically tractable coupling mechanism, and its fundamental importance in MRS. Next, we will extend these concepts to develop NMR relaxation theory, which provides the foundation for analyzing multiple in vivo MRI contrast mechanisms and contrast agents.
Same as: RAD 226

BIOE 227. Functional MRI Methods. 3 Units.

Basics of functional magnetic resonance neuroimaging, including data acquisition, analysis, and experimental design. Journal club sections. Cognitive neuroscience and clinical applications. Prerequisites: basic physics, mathematics; neuroscience recommended.
Same as: BIOPHYS 227, RAD 227

BIOE 229. Advanced Research Topics in Multi-modality Molecular Imaging of Living Subjects. 3-4 Units.

Covers advanced topics and controversies in molecular imaging in the understanding of biology and disease. Lectures will include discussion on instrumentation, probes and bioassays. Topics will address unmet needs for visualization and quantification of molecular pathways in biology as well as for diagnosis and disease management. Areas of unmet clinical needs include those in oncology, neurology, cardiovascular medicine and musculoskeletal diseases. The aim is to identify important problems and controversies in a field and address them by providing background and relevance through review of the relevant primary literature, and then proposing and evaluating innovative imaging strategies that are designed to address the problem. The organization of lectures is similar to the thought process that is necessary for writing an NIH grant proposal in which aims are proposed and supported by background and relevance. The innovation of proposed approaches will be highlighted. An aim of the course is to inform students on how to creatively think about a problem and propose a solution focusing on the key elements of writing a successful grant proposal. Prerequisites: none.

BIOE 231. Protein Engineering. 3 Units.

The design and engineering of biomolecules emphasizing proteins, antibodies, and enzymes. Combinatorial and rational methodologies, protein structure and function, and biophysical analyses of modified biomolecules. Clinically relevant examples from the literature and biotech industry. Prerequisite: basic biochemistry. Winter, Cochran.
Same as: BIOE 331

BIOE 236. Biophysical Mechanisms of Innate Immunity. 3 Units.

Course Description: The innate immune system provides our first line of defense against infections of all kinds as well as cancer; and dysregulation of innate immunity underlies autoimmune conditions. Innate immune effectors, e.g. host defense peptides are deployed by many cell types (neutrophils, macrophages, NK cells, epithelial cells, keratinocytes, others) and attack by biophysical mechanisms. Using primary literature, we will discuss the breadth, evolution, structures, mechanisms, and functions of key cellular and molecular innate immune effectors. Appropriate for grad students and advanced undergrads with knowledge of biochemistry, molecular/cellular biology, biophysics, and/or bioengineering. Objectives: This course teaches key biophysical aspects and mechanisms of the human innate immune system and its cellular and molecular effectors. We discuss the current understanding and hypotheses for how misregulation of innate immunity contribute to inflammatory and autoimmune conditions. Students gain individualized, mentored experience in creative planning and writing of a technical paper on an intriguing topic in medicine using primary literature as a resource, and practice giving lectures about the results of their research to their peers.

BIOE 238. Principles and Tools for Metrology in Biology. 2 Units.

A practical introduction to the science of measurement. Emphasis is on the tools used to parse a biological measurement problem. Students will learn to identify and quantitatively address the critical sources of variability and bias using the core concepts of uncertainty, traceability, and validation. Case studies will illustrate use of metrology in current and emergent bioscience and engineering applications.

BIOE 240. The Biology Revolution. 1 Unit.

Over the last century, engineering advances have brought us incredible marvels of transportation, manufacturing, construction, healthcare, and agriculture; essentially, the modern world as we know it. However, it has been driven in unsustainable means, leading to incredible levels of pollution, global warming, world hunger, and skyrocketing healthcare costs. But we are at a new juncture in our understanding of biology and the technological tools now available to us. Just as chemists used engineering principles to create chemical engineering, a natural means to accelerate re-gaining an alignment with nature would be to engineer biology. In short, this kind of bioengineering research can lead to processes and products where biology itself has been designed through engineering principles: bacteria engineered to produce chemicals; engineered organs to replace faulty ones; novel diagnostic modalities; the ability to engineer cells as if they were machines. What are the impacts if incorporating these new technologies and technological modalities? What is the ultimate impact to our society and planet if we truly begin to engineer biology? And what is the cost of *not* doing so? This course will examine what engineering biology actually means; consider case studies of what kind of products, companies and innovations are already resulting from this new discipline and approach, from street lights made of luciferous trees to creating `clean¿ meat in the lab to engineering the immune system to fight cancer; and discuss what kind of systemic shifts will be required to make this happen in terms of politics, economics, and science.

BIOE 241. Biological Macromolecules. 3-5 Units.

The physical and chemical basis of macromolecular function. Topics include: forces that stabilize macromolecular structure and their complexes; thermodynamics and statistical mechanics of macromolecular folding, binding, and allostery; diffusional processes; kinetics of enzymatic processes; the relationship of these principles to practical application in experimental design and interpretation. The class emphasizes interactive learning, and is divided among lectures, in-class group problem solving, and discussion of current and classical literature. Enrollment limited to 30. Prerequisites: Background in biochemistry and physical chemistry recommended but material available for those with deficiency in these areas; undergraduates with consent of instructor only.
Same as: BIOC 241, BIOPHYS 241, SBIO 241

BIOE 242. LAW, TECHNOLOGY, AND LIBERTY. 2 Units.

New technologies from gene editing to networked computing have already transformed our economic and social structures and are increasingly changing what it means to be human. What role has law played in regulating and shaping these technologies? And what role can and should it play in the future? This seminar will consider these and related questions, focusing on new forms of networked production, the new landscape of security and scarcity, and the meaning of human nature and ecology in an era of rapid technological change. Readings will be drawn from a range of disciplines, including science and engineering, political economy, and law. The course will feature several guest speakers. There are no formal prerequisites in either engineering or law, but students should be committed to pursuing novel questions in an interdisciplinary context. The enrollment goal is to balance the class composition between law and non-law students. Elements used in grading: Attendance, Class Participation, Written Assignments. CONSENT APPLICATION: To apply for this course, students must complete and submit a Consent Application Form available on the SLS website (Click Courses at the bottom of the homepage and then click Consent of Instructor Forms). See Consent Application Form for instructions and submission deadline. This course is cross-listed with the School of Engineering (TBA). May be repeat for credit.
Same as: ENGR 243

BIOE 244. Advanced Frameworks and Approaches for Engineering Integrated Genetic Systems. 4 Units.

Concepts and techniques for the design and implementation of engineered genetic systems. Topics covered include the quantitative exploration of tools that support (a) molecular component engineering, (b) abstraction and composition of functional genetic devices, (c) use of control and dynamical systems theory in device and systems design, (d) treatment of molecular "noise", (e) integration of DNA-encoded programs within cellular chassis, (f) designing for evolution, and (g) the use of standards in measurement, genetic layout architecture, and data exchange. Prerequisites: CME104, CME106, CHEM 33, BIO41, BIO42, BIOE41, BIOE42, and BIOE44 (or equivalents), or permission of the instructors.

BIOE 248. Neuroengineering Laboratory. 3 Units.

Laboratory course exploring the basics of neuroelectrophysiology, neuroengineering, and closed-loop neural decoding. Course will use low-cost electrophysiological amplifying equipment and a real-time recording and computational system to measure neural action potentials from invertebrates, record electromyography from people, and create real-time neural decoders for closed-loop human movement control experiments. xFundamental properties of neurons and systems neuroscience will be experimentally verified. Engineering concepts surrounding neural decoders will be explored. Final project in the course will be a student-conceived in-depth experiment. Course information at: http://bioe248.stanford.edu.
Same as: NSUR 248

BIOE 256. Technology Assessment and Regulation of Medical Devices. 3 Units.

Regulatory approval and reimbursement for new health technologies are critical success factors for product commercialization. This course explores the regulatory and payer environment in the U.S. and abroad, as well as common methods of health technology assessment. Students will learn frameworks to identify factors relevant to the adoption of new health technologies, and the management of those factors in the design and development phases of bringing a product to market through case studies, guest speakers from government (FDA) and industry, and a course project.
Same as: MS&E 256

BIOE 260. Tissue Engineering. 4 Units.

Principles of tissue engineering and design strategies for practical applications for tissue repair. Topics include tissue morphogenesis, stem cells, biomaterials, controlled drug and gene delivery, and paper discussions. Students will learn skills for lab research through interactive lectures, paper discussions and research proposal development. Students work in small teams to work on develop research proposal for authentic tissue engineering problems. Lab sessions will teach techniques for culturing cells in 3D, as well as fabricating and characterizing hydrogels as 3D cell niche.
Same as: ORTHO 260

BIOE 271. Frugal Science. 4 Units.

As a society, we find ourselves surrounded by planetary-scale challenges ranging from lack of equitable access to health care to environmental degradation to dramatic loss of biodiversity. One common theme that runs across these challenges is the need to invent cost-effective solutions with the potential to scale. The current COVID-19 pandemic provides yet another example of such a need. In this course, participants will learn principles of frugal science to design scalable solutions with a cost versus performance rubric and explore creative means to break the accessibility barrier. Using historic and current examples, we will emphasize the importance of first-principles science to tackle design challenges with everyday building blocks. Enrollment is by application only; we will be accepting a mixed cohort of Stanford undergrad and graduate students from all schools/majors, who will team up with collaborators from across the globe to build concrete solutions to planetary-scale challenges. Come learn how to solve serious challenges with a little bit of play. Apply at www.frugalscience.org/class.

BIOE 273. Biodesign for Digital Health. 3 Units.

Health care is facing significant cross-industry challenges and opportunities created by a number of factors including: the increasing need for improved access to affordable, high-quality care; growing demand from consumers for greater control of their health and health data; the shift in focus from sick care to prevention and health optimization; aging demographics and the increased burden of chronic conditions; and new emphasis on real-world, measurable health outcomes for individuals and populations. Moreover, the delivery of health information and services is no longer tied to traditional brick and mortar hospitals and clinics: it has increasingly become "mobile," enabled by apps, sensors, wearables; simultaneously, it has been augmented and often revolutionized by emerging digital and information technologies, as well as by the data that these technologies generate. This multifactorial transformation presents opportunities for innovation across the entire cycle of care, from wellness, to acute and chronic diseases, to care at the end of life. But how does one approach innovation in digital health to address these health care challenges while ensuring the greatest chance of success? At Stanford Biodesign, we believe that innovation is a process that can be learned, practiced, and perfected; and, it starts with a need. In Biodesign for Digital Health, students will learn about digital health and the Biodesign needs-driven innovation process from over 50 industry experts. Over the course of ten weeks, these speakers join the teaching team in a dynamic classroom environment that includes lectures, panel discussions, and breakout sessions. These experts represent startups, corporations, venture capital firms, accelerators, research labs, health organizations, and more. Student teams will take actual digital and mobile health challenges and learn how to apply Biodesign innovation principles to research and evaluate needs, ideate solutions, and objectively assess them against key criteria for satisfying the needs. Teams take a hands-on approach with the support of need coaches and mentors. On the final day of class, teams present to a panel of digital health experts and compete for project extension funding. Friday section will be used for team projects and for scheduled workshops. Limited enrollment for this course. Students need to submit their application online via: https://stanforduniversity.qualtrics.com/jfe/form/SV_28ZWIF8RJsyMvCR.
Same as: MED 273

BIOE 279. Computational Biology: Structure and Organization of Biomolecules and Cells. 3 Units.

Computational techniques for investigating and designing the three-dimensional structure and dynamics of biomolecules and cells. These computational methods play an increasingly important role in drug discovery, medicine, bioengineering, and molecular biology. Course topics include protein structure prediction, protein design, drug screening, molecular simulation, cellular-level simulation, image analysis for microscopy, and methods for solving structures from crystallography and electron microscopy data. Prerequisites: elementary programming background (CS 106A or equivalent) and an introductory course in biology or biochemistry.
Same as: BIOMEDIN 279, BIOPHYS 279, CME 279, CS 279

BIOE 281. Biomechanics of Movement. 3 Units.

Experimental techniques to study human and animal movement including motion capture systems, EMG, force plates, medical imaging, and animation. The mechanical properties of muscle and tendon, and quantitative analysis of musculoskeletal geometry. Projects and demonstrations emphasize applications of mechanics in sports, orthopedics, and rehabilitation.
Same as: ME 281

BIOE 282. Performance, Development, and Adaptation of Skeletal Muscle. 3 Units.

Fundamentals of skeletal muscle by study of classical and recent research articles. Emphasis on the interactions between mechanics, biology, and electrophysiology in skeletal muscle performance, development, adaptation, control, and disease. Lab activities explore research methods discussed in class. Limited Enrollment. Applications due Friday, September 16th by 5pm. Applications available at http://bioe282.stanford.edu/. Prerequisites: engineering or biology core coursework. Fall (Cromie, Liske, Steele, Delp).

BIOE 283. Mechanotransduction in Cells and Tissues. 3 Units.

Mechanical cues play a critical role in development, normal functioning of cells and tissues, and various diseases. This course will cover what is known about cellular mechanotransduction, or the processes by which living cells sense and respond to physical cues such as physiological forces or mechanical properties of the tissue microenvironment. Experimental techniques and current areas of active investigation will be highlighted. This class is for graduate students only.
Same as: BIOPHYS 244, ME 244

BIOE 285. Computational Modeling in the Cardiovascular System. 3 Units.

This course introduces computational modeling methods for cardiovascular blood flow and physiology. Topics in this course include analytical and computational methods for solutions of flow in deformable vessels, one-dimensional equations of blood flow, cardiovascular anatomy, lumped parameter models, vascular trees, scaling laws, biomechanics of the circulatory system, and 3D patient specific modeling with finite elements; course will provide an overview of the diagnosis and treatment of adult and congenital cardiovascular diseases and review recent research in the literature in a journal club format. Students will use SimVascular software to do clinically-oriented projects in patient specific blood flow simulations. Pre-requisites: CME102, ME133 and CME192.
Same as: CME 285, ME 285

BIOE 291. Principles and Practice of Optogenetics for Optical Control of Biological Tissues. 3 Units.

Principles and practice of optical control of biological processes (optogenetics), emphasizing bioengineering approaches. Theoretical, historical, and current practice of the field. Requisite molecular-genetic, optoelectronic, behavioral, clinical, and ethical concepts, and mentored analysis and presentation of relevant papers. Final projects of research proposals and a laboratory component in BioX to provide hands-on training. Contact instructor before registering.

BIOE 299B. Practical Training. 1 Unit.

Educational opportunities in high technology research and development labs in industry. Students engage in internship work and integrate that work into their academic program. Following internship work, students complete a research report outlining work activity, problems investigated, key results, and follow-up projects they expect to perform. Meets the requirements for curricular practical training for students on F-1 visas. Student is responsible for arranging own internship/employment and faculty sponsorship. Register under faculty sponsor's section number. All paperwork must be completed by student and faculty sponsor, as the student services office does not sponsor CPT. Students are allowed only two quarters of CPT per degree program. Course may be repeated twice.

BIOE 300A. Molecular and Cellular Bioengineering. 3 Units.

The molecular and cellular bases of life from an engineering perspective. Analysis and engineering of biomolecular structure and dynamics, enzyme function, molecular interactions, metabolic pathways, signal transduction, and cellular mechanics. Quantitative primary literature. Prerequisites: CHEM 171 and BIO 41 or equivalents; MATLAB or an equivalent programming language.

BIOE 300B. Quantitative Physiology. 3 Units.

An engineering approach to understanding physiological phenomenon. Course introduces weekly topics in biology and human physiology paired with a mathematical approach to modeling and understanding that week's topic. No strict prerequisites. No prior background in biology is required or assumed. Familiarity with linear algebra, statistics, and programming is recommended. Course information at: http://bioe300b.stanford.edu.

BIOE 300C. Medical Devices, Diagnostics, and Pharmaceuticals: Technologies, Regulation, and Applications. 3 Units.

Preference to Bioengineering graduate students. Major classes of technologies including imaging techniques, chemical diagnostics, drug design and delivery. Topics include pacemakers, fMRI, PCR, stents, and biomaterials. Principles, practical limitations, and feature trade-offs in clinical settings.

BIOE 301A. Molecular and Cellular Engineering Lab. 2 Units.

Preference to Bioengineering graduate students. Practical applications of biotechnology and molecular bioengineering including recombinant DNA techniques, molecular cloning, microbial cell growth and manipulation, and library screening. Emphasis is on experimental design and data analysis. Limited enrollment. Fall.

BIOE 301B. Clinical Needs and Technology. 2 Units.

The goal of this course is to introduce bioengineering students to medical technology as it is used in current clinical practice, in the modern tertiary care, subspecialty hospital. Half of the course will be devoted to labs, in which small groups of students participate in hands-on experiences using advanced clinical technology in areas such as medical imaging, robotic surgery, and minimally invasive diagnosis and treatment. The second half of the course brings pairs of students and clinical faculty mentors together for a more in-depth, focused exposure to clinical care in one specific area. Final grades will be based on attendance, and presentations made by each pair of student to the class about their mentoring experience.

BIOE 301C. Diagnostic Devices Lab. 2 Units.

This course exposes students to the engineering principles and clinical application of medical devices through lectures and hands-on labs, performed in teams of two. Teams take measurements with these devices and fit their data to theory presented in the lecture. Devices covered include X-ray, CT, MRI, EEG, ECG, Ultrasound and BMI (Brain-machine interface). Prerequisites: BIOE 103 or BIOE 300B.
Same as: BIOE 201C

BIOE 301D. Microfluidic Device Laboratory. 3-4 Units.

This course exposes students to the design, fabrication, and testing of microfluidic devices for biological applications through combination of lectures and hands-on lab sessions. In teams of two, students will produce a working prototype devices designed to address specific design challenges within the biological community using photolithography, soft lithography, and imaging techniques.
Same as: GENE 207

BIOE 301E. Computational protein modeling laboratory. 2 Units.

This course covers hands-on computational methods related to protein structural modeling. Through solving a series of curated problems, students build their own software tools and develop protocols to model and analyze structures. Topics: protein visualization, Rosetta software suite, structural prediction, homology modeling and protein design.

BIOE 301P. Research Data & Computation. 2 Units.

Computational lab course that spans research data processing workflow starting just after the point of acquisition through to computation and visualization. Topics will span Stanford specific best practices for data storage, code management, file formats, data curation, toolchain creation, interactive and batch computing, dynamic visualization, and distributed computing. Students will work with a dataset of their choosing when working through topics. Course information at: http://bioe301p.stanford.edu.

BIOE 311. Biophysics of Multi-cellular Systems and Amorphous Computing. 2-3 Units.

Provides an interdisciplinary perspective on the design, emergent behavior, and functionality of multi-cellular biological systems such as embryos, biofilms, and artificial tissues and their conceptual relationship to amorphous computers. Students discuss relevant literature and introduced to and apply pertinent mathematical and biophysical modeling approaches to various aspect multi-cellular systems, furthermore carry out real biology experiments over the web. Specific topics include: (Morphogen) gradients; reaction-diffusion systems (Turing patterns); visco-elastic aspects and forces in tissues; morphogenesis; coordinated gene expression, genetic oscillators and synchrony; genetic networks; self-organization, noise, robustness, and evolvability; game theory; emergent behavior; criticality; symmetries; scaling; fractals; agent based modeling. The course is geared towards a broadly interested graduate and advanced undergraduates audience such as from bio / applied physics, computer science, developmental and systems biology, and bio / tissue / mechanical / electrical engineering. Prerequisites: Previous knowledge in one programming language - ideally Matlab - is recommended; undergraduate students benefit from BIOE 42, or equivalent.
Same as: BIOE 211, BIOPHYS 311, DBIO 211

BIOE 313. Neuromorphics: Brains in Silicon. 3 Units.

(Formerly EE 304) Neuromorphic systems run perceptual, cognitive and motor tasks in real-time on a network of highly interconnected nonlinear units. To maximize density and minimize energy, these units--like the brain's neurons--are heterogeneous and stochastic. The first half of the course covers learning algorithms that automatically synthesize network configurations to perform a desired computation on a given heterogeneous neural substrate. The second half of the course surveys system-on-a-chip architectures that efficiently realize highly interconnected networks and mixed analog-digital circuit designs that implement area and energy-efficient nonlinear units. Prerequisites: EE102A is required.
Same as: EE 207

BIOE 331. Protein Engineering. 3 Units.

The design and engineering of biomolecules emphasizing proteins, antibodies, and enzymes. Combinatorial and rational methodologies, protein structure and function, and biophysical analyses of modified biomolecules. Clinically relevant examples from the literature and biotech industry. Prerequisite: basic biochemistry. Winter, Cochran.
Same as: BIOE 231

BIOE 333. Interfacial Phenomena and Bionanotechnology. 3 Units.

Control over and understanding of interfacial phenomena and colloidal science are the essential foundation of bionanotechnology. Key mathematical relationships derived by Laplace, Gibbs, Kelvin and Young are derived and explained, along with the thermodynamics of systems of large interfacial area. Forces controlling surface and interfacial phenomena and surfactant and biomacromolecule self-assembly are discussed. Protein folding/unfolding and aggregation, and nano- and microfluidics are elucidated in these terms. Students will gain insight into the interplay between physical and chemical properties of biomolecules. Spring, (Barron, A.).

BIOE 334. Engineering Principles in Molecular Biology. 3 Units.

The achievements and difficulties that exemplify the interface of theory and quantitative experiment. Topics include: bistability, cooperativity, robust adaptation, kinetic proofreading, analysis of fluctuations, sequence analysis, clustering, phylogenetics, maximum likelihood methods, and information theory. Sources include classic papers.

BIOE 335. Molecular Motors I. 3 Units.

Physical mechanisms of mechanochemical coupling in biological molecular motors, using F1 ATPase as the major model system. Applications of biochemistry, structure determination, single molecule tracking and manipulation, protein engineering, and computational techniques to the study of molecular motors.

BIOE 337. Organismic Biophysics and Living Soft-matter. 3 Units.

Integrated physical biology; from molecules to organisms. Tree of life, diversity of life forms. Multi-scale/hierarchical systems in biophysics, Hierarchical self-organization. Basic theory of squishy materials, colloidal physics. Phase transitions in living soft-matter. Experimental techniques in soft-matter physics. Active fluid models for living matter. Design of self-assembling and self-organizing, biomimetic supramolecular systems.

BIOE 342A. Mechanobiology and Biofabrication Methods. 3 Units.

Cell mechanobiology topics including cell structure, mechanical models, and chemo-mechanical signaling. Review and apply methods for controlling and analyzing the biomechanics of cells using traction force microscopy, AFM, micropatterning and cell stimulation. Practice and theory for the design and application of methods for quantitative cell mechanobiology.
Same as: BIOPHYS 342A, ME 342A

BIOE 355. Advanced Biochemical Engineering. 3 Units.

Combines biological knowledge and methods with quantitative engineering principles. Quantitative review of biochemistry and metabolism; recombinant DNA technology and synthetic biology (metabolic engineering). The production of protein pharaceuticals as a paradigm for the application of chemical engineering principles to advanced process development within the framework of current business and regulatory requirements. Prerequisite: CHEMENG 181 (formerly 188) or BIOSCI 41, or equivalent.
Same as: CHEMENG 355

BIOE 361. Biomaterials in Regenerative Medicine. 3 Units.

Materials design and engineering for regenerative medicine. How materials interact with cells through their micro- and nanostructure, mechanical properties, degradation characteristics, surface chemistry, and biochemistry. Examples include novel materials for drug and gene delivery, materials for stem cell proliferation and differentiation, and tissue engineering scaffolds. Prerequisites: undergraduate chemistry, and cell/molecular biology or biochemistry.
Same as: MATSCI 381

BIOE 370. Microfluidic Device Laboratory. 2 Units.

Fabrication of microfluidic devices for biological applications. Photolithography, soft lithography, and micromechanical valves and pumps. Emphasis is on device design, fabrication, and testing.

BIOE 371. Global Biodesign: Medical Technology in an International Context. 1 Unit.

This course ( BIOE371, MED271) exposes students to the challenges and opportunities of developing and implementing innovative health technologies to help patients around the world. Non-communicable diseases, such as metabolic and chronic respiratory disease, now account for 7 in 10 deaths worldwide, creating the need for innovative health technologies that work across diverse global markets. At the beginning of the quarter, the course will provide an overview of the dynamic global health technology industry. Next, faculty members, guest experts, and students will discuss key differences and similarities when commercializing new products in the for-profit health technology sector across six important regions: the US and Europe, China and Japan, and India and Brazil. Finally, the course will explore critical ¿global health¿ issues that transcend international borders and how technology can be leveraged to address them. This section will culminate with an interactive debate focused on whether for-profit, nonprofit, or hybrid models are best for implementing sustainable global health solutions. The last class will be devoted to synthesis, reflection, and a discussion of career opportunities in the global health technology field.
Same as: MED 271

BIOE 374A. Biodesign Innovation: Needs Finding and Concept Creation. 4 Units.

In this two-quarter course series ( BIOE 374A/B, MED 272A/B, ME 368A/B, OIT 384/5), multidisciplinary student teams identify real-world unmet healthcare needs, invent new health technologies to address them, and plan for their implementation into patient care. During the first quarter (winter), students select and characterize an important unmet healthcare problem, validate it through primary interviews and secondary research, and then brainstorm and screen initial technology-based solutions. In the second quarter (spring), teams select a lead solution and move it toward the market through prototyping, technical re-risking, strategies to address healthcare-specific requirements (regulation, reimbursement), and business planning. Final presentations in winter and spring are made to a panel of prominent health technology experts and/or investors. Class sessions include faculty-led instruction and case studies, coaching sessions by industry specialists, expert guest lecturers, and interactive team meetings. Enrollment is by application only, and students are required to participate in both quarters of the course. Visit http://biodesign.stanford.edu/programs/stanford-courses/biodesign-innovation.html to access the application, examples of past projects, and student testimonials. More information about Stanford Biodesign, which has led to the creation of 50 venture-backed healthcare companies and has helped hundreds of student launch health technology careers, can be found at http://biodesign.stanford.edu/.
Same as: ME 368A, MED 272A

BIOE 374B. Biodesign Innovation: Concept Development and Implementation. 4 Units.

In this two-quarter course series ( BIOE 374A/B, MED 272A/B, ME 368A/B, OIT 384/5), multidisciplinary student teams identify real-world unmet healthcare needs, invent new health technologies to address them, and plan for their implementation into patient care. During the first quarter (winter), students select and characterize an important unmet healthcare problem, validate it through primary interviews and secondary research, and then brainstorm and screen initial technology-based solutions. In the second quarter (spring), teams select a lead solution and move it toward the market through prototyping, technical re-risking, strategies to address healthcare-specific requirements (regulation, reimbursement), and business planning. Final presentations in winter and spring are made to a panel of prominent health technology experts and/or investors. Class sessions include faculty-led instruction and case studies, coaching sessions by industry specialists, expert guest lecturers, and interactive team meetings. Enrollment is by application only, and students are required to participate in both quarters of the course. Visit http://biodesign.stanford.edu/programs/stanford-courses/biodesign-innovation.html to access the application, examples of past projects, and student testimonials. More information about Stanford Biodesign, which has led to the creation of 50 venture-backed healthcare companies and has helped hundreds of student launch health technology careers, can be found at http://biodesign.stanford.edu/.
Same as: ME 368B, MED 272B

BIOE 375A. Biodesign Innovation: Needs Finding and Concept Creation. 2 Units.

Enrollment limited to SCPD students. Two quarter sequence. Inventing new medical devices and instrumentation, including: methods of validating medical needs; techniques for analyzing intellectual property; basics of regulatory (FDA) and reimbursement planning; brainstorming and early prototyping. Guest lecturers and practical demonstrations.

BIOE 375B. Biodesign Innovation: Concept Development and Implementation. 2 Units.

Enrollment limited to SCPD students. Two quarter sequence. How to take a medical device invention forward from early concept to technology translation and development. Topics include prototyping; patent strategies; advanced planning for reimbursement and FDA approval; choosing translation route (licensing versus start-up); ethical issues including conflict of interest; fundraising approaches and cash requirements; essentials of writing a business or research plan; strategies for assembling a development team. Prerequisite: BIOE 375A.

BIOE 376. Startup Garage: Design. 4 Units.

A hands-on, project-based course, in which teams identify and work with users, domain experts, and industry participants to identify an unmet customer need, design new products or services that meet that need, and develop business models to support the creation and launch of startup products or services. This course integrates methods from human-centered design, lean startup, and business model planning. Each team will conceive, design, build, and field-test critical aspects of both the product or service and the business model.

BIOE 377. Startup Garage: Testing and Launch. 4 Units.

STRAMGT 356/BIOE 376 teams that concluded at the end of fall quarter that their preliminary product or service and business model suggest a path to viability, may continue with STRAMGT 366/BIOE 377 in winter quarter. Teams develop more elaborate versions of their product/service and business model, perform a series of experiments to test key hypotheses about their product and business model, and prepare and present an investor pitch for a seed round of financing to a panel of seasoned investors and entrepreneurs.

BIOE 381. Orthopaedic Bioengineering. 3 Units.

Engineering approaches applied to the musculoskeletal system in the context of surgical and medical care. Fundamental anatomy and physiology. Material and structural characteristics of hard and soft connective tissues and organ systems, and the role of mechanics in normal development and pathogenesis. Engineering methods used in the evaluation and planning of orthopaedic procedures, surgery, and devices. Open to graduate students and undergraduate seniors.
Same as: ME 381

BIOE 385. Biomaterials for Drug Delivery. 3 Units.

Fundamental concepts in engineering materials for drug delivery. The human body is a highly interconnected network of different tissues and there are all sorts of barriers to getting pharmaceutical drugs to the right place at the right time. Topics include drug delivery mechanisms (passive, targeted), therapeutic modalities and mechanisms of action, engineering principles of controlled release and quantitative understanding of drug transport, chemical and physical characteristics of delivery molecules and assemblies, significance of biodistribution and pharmacokinetic models, toxicity of biomaterials and drugs, and immune responses.
Same as: MATSCI 385

BIOE 390. Introduction to Bioengineering Research. 1-2 Unit.

Preference to medical and bioengineering graduate students with first preference given to Bioengineering Scholarly Concentration medical students. Bioengineering is an interdisciplinary field that leverages the disciplines of biology, medicine, and engineering to understand living systems, and engineer biological systems and improve engineering designs and human and environmental health. Students and faculty make presentations during the course. Students expected to make presentations, complete a short paper, read selected articles, and take quizzes on the material.
Same as: MED 289

BIOE 391. Directed Study. 1-6 Unit.

May be used to prepare for research during a later quarter in 392. Faculty sponsor required. May be repeated for credit.

BIOE 392. Directed Investigation. 1-10 Unit.

For Bioengineering graduate students. Previous work in 391 may be required for background; faculty sponsor required. May be repeated for credit.

BIOE 393. Bioengineering Departmental Research Colloquium. 1 Unit.

Required Bioengineering department colloquium for first year Ph.D. and M.S. students. Topics include applications of engineering to biology, medicine, biotechnology, and medical technology, including biodesign and devices, molecular and cellular engineering, regenerative medicine and tissue engineering, biomedical imaging, and biomedical computation.

BIOE 394. Innovate for Planet Health: Entrepreneurial Opportunities for Planet and Societal Health Challenges. 1 Unit.

Addressing climate change and environmental/social determinants of health are the next frontiers of innovation and entrepreneurship. In this seminar you will learn about scientific and economic challenges and opportunities in innovating in these areas. Speakers are inspiring entrepreneurs and leaders who are addressing planet and global health challenges through their work. The instructor, Dr. Narges Baniasadi, is a successful serial entrepreneur (co-founder of Bina, acquired by Roche) who now focuses on purposeful entrepreneurship.

BIOE 395. Problem choice and decision trees in science and engineering. 2 Units.

Science and engineering researchers often spend days choosing a problem and years solving it. However, the problem initially chosen and subsequent course adjustments made along the project's decision tree, have an outsize influence on its likelihood of success and ultimate impact. This course will establish a framework for choosing problems and navigating a project's decision tree, emphasizing the role of intuition-building exercises and a stepwise analysis of assumptions. No prior knowledge is required.

BIOE 450. Advances in Biotechnology. 3 Units.

Overview of cutting edge advances in biotechnology with a focus on therapeutic and health-related topics. Academic and industrial speakers from a range of areas including protein engineering, immuno-oncology, DNA sequencing, the microbiome, phamacogenomics, industrial enzymes, synthetic biology, and more. Course is designed for students interested in pursuing a career in the biotech industry.
Same as: CHEMENG 450

BIOE 454. Synthetic Biology and Metabolic Engineering. 3 Units.

Principles for the design and optimization of new biological systems. Development of new enzymes, metabolic pathways, other metabolic systems, and communication systems among organisms. Example applications include the production of central metabolites, amino acids, pharmaceutical proteins, and isoprenoids. Economic challenges and quantitative assessment of metabolic performance. Pre- or corequisite: CHEMENG 355 or equivalent.
Same as: CHEMENG 454

BIOE 459. Frontiers in Interdisciplinary Biosciences. 1 Unit.

Students register through their affiliated department; otherwise register for CHEMENG 459. For specialists and non-specialists. Sponsored by the Stanford BioX Program. Three seminars per quarter address scientific and technical themes related to interdisciplinary approaches in bioengineering, medicine, and the chemical, physical, and biological sciences. Leading investigators from Stanford and the world present breakthroughs and endeavors that cut across core disciplines. Pre-seminars introduce basic concepts and background for non-experts. Registered students attend all pre-seminars; others welcome. See http://biox.stanford.edu/courses/459.html. Recommended: basic mathematics, biology, chemistry, and physics.
Same as: BIO 459, BIOC 459, CHEM 459, CHEMENG 459, PSYCH 459

BIOE 485. Modeling and Simulation of Human Movement. 3 Units.

Direct experience with the computational tools used to create simulations of human movement. Lecture/labs on animation of movement; kinematic models of joints; forward dynamic simulation; computational models of muscles, tendons, and ligaments; creation of models from medical images; control of dynamic simulations; collision detection and contact models. Prerequisite: 281, 331A,B, or equivalent.
Same as: ME 485

BIOE 500. Thesis. 1-15 Unit.

(Staff).
Same as: Ph.D.

BIOE 802. TGR Dissertation. 0 Units.

(Staff).