74 courses with the subject BMEN E, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
BMEN E2910Introduction to Biomedical Engineering Design3.00
An introduction to prototyping techniques needed for medical device development, including computer-aided design (CAD), 3D printing, laser cutting, circuit design, and microcontrollers. Students will work collaboratively to design, fabricate, and evaluate a medical device, demonstrating competency in fabrication methods and iterative engineering design
Prerequisites: (BIOL UN2005) and (BIOL UN2006) or BIOL C2005 AND BIOL C2006; BMEN E3810 AND BMEN E4001 OR BMEN E4001; or instructor's permission. Corequisites: BMEN E3810,BMEN E4001 Various concepts within the field of biomedical engineering, foundational knowledge of engineering methodology applied to biological and/or medical problems through modules in biomechanics, biomaterials, and cell ＆ tissue engineering
Prerequisites: (BIOL UN2005) and (BIOL UN2006) or BIOL C2005 AND BIOL C2006; BMEN E3820 AND BMEN E4002 OR BMEN E4002; or instructor's permission. Corequisites: BMEN E3820,BMEN E4002 Various concepts within the field of biomedical engineering, foundational knowledge of engineering methodology applied to biological and/or medical problems through modules in biomechanics, bioinstrumentation, and biomedical imaging
Fundamental considerations of wave mechanics; design philosophies; reliability and risk concepts; basics of fluid mechanics; design of structures subjected to blast; elements of seismic design; elements of fire design; flood considerations; advanced analysis in support of structural design
Biomedical experimental design and hypothesis testing. Statistical analysis of experimental measurements. Analysis of experimental measurements. Analysis of variance, post hoc testing. Fluid shear and cell adhesion, neuro-electrophysiology, soft tissue biomechanics, biomecial imaging and ultrasound, characterization of excitable tissues, microfluidics
A two-semester design sequence to be taken in the senior year. Elements of the design process, with specific applications to biomedical engineering: concept formulation, systems synthesis, design analysis, optimization, biocompatibility, impact on patient health and comfort, health care costs, regulatory issues, and medical ethics. Selection and execution of a project involving the design of an actual engineering device or system. Introduction to entrepreneurship, biomedical start-ups, and venture capital. Semester I: statistical analysis of detection/classification systems (receiver operation characteristic analysis, logistic regression), development of design prototype, need, approach, benefits and competition analysis. Semester II: spiral develop process and testing, iteration and refinement of the initial design/prototype and business plan development. A lab fee of $100 each is collected
A two-semester design sequence to be taken in the senior year. Elements of the design process, with specific applications to biomedical engineering: concept formulation, systems synthesis, design analysis, optimization, biocompatibility, impact on patient health and comfort, health care costs, regulatory issues, and medical ethics. Selection and execution of a project involving the design of an actual engineering device or system. Introduction to entrepreneurship, biomedical start-ups, and venture capital. Semester I: statistical analysis of detection/classification systems (receiver operation characteristic analysis, logistic regression), development of design prototype, need, approach, benefits and competition analysis. Semester II: spiral develop process and testing, iteration and refinement of the initial design/prototype and business plan development. A lab fee of $100 each is collected
Independent projects involving experimental, theoretical, computational, or engineering design work. May be repeated, but no more than 3 points of this or any other projects or research course may be counted toward the technical elective degree requirements as engineering technical electives
Subject
BMEN E
Credits (min)
1
Credits (max)
3
Credit unit
points
Type
course
Repeatable
May be repeated, but no more than 3 points of this or any other projects or research course may be counted toward the technical elective degree requirements as engineering tec
Prerequisites: Obtained internship and approval from faculty adviser. BMEN undergraduate students only. May be repeated for credit, but no more than 3 total points may be used toward the 128-credit degree requirement. Only for BMEN undergraduate students who include relevant off-campus work experience as part of their approved program of study. Final report and letter of evaluation required. Fieldwork credits may not count toward any major core, technical, elective, and non-technical requirements. May not be taken for pass/fail credit or audited
Subject
BMEN E
Credits (min)
1
Credits (max)
2
Credit unit
points
Type
course
Repeatable
May be repeated for credit, but no more than 3 total points may be used toward the 128-credit degree requirement.
Prerequisites: (BIOL UN2005) and (BIOL UN2006) BIOL C2005 AND BIOL C2006; BMEN E3010 AND BMEN E3810 OR BMEN E3010 OR BMEN E4490 OR BMEN E6505 Corequisites: BMEN E3010,BMEN E3810 Physiological systems at the cellular and molecular level are examined in a highly quantitative context. Topics include chemical kinetics, molecular binding and enzymatic processes, molecular motors, biological membranes, and muscles
Prerequisites: (BIOL UN2005) and (BIOL UN2006) BIOL C2005 AND BIOL C2006; BMEN E3020 AND BMEN E3820 OR BMEN E3020 OR BMEN E4490 OR BMEN E6505 Corequisites: BMEN E3020,BMEN E3820 Students are introduced to a quantitative, engineering approach to cellular biology and mammalian physiology. Beginning with biological issues related to the cell, the course progresses to considerations of the major physiological systems of the human body (nervous, circulatory, respiratory, renal)
BMEN E4210DRIVING FORCES OF BIOLOGICAL SYSTEMS4.00
Prerequisites: (CHEM UN1404) and (MATH UN1202) BIOL C2005; or equivalent. Corequisites: BIOL UN2005 Introduction to the statistical mechanics and thermodynamics of biological systems, with a focus on connecting microscopic molecular properties to macroscopic states. Both classical and statistical thermodynamics will be applied to biological systems; phase equilibria, chemical reactions, and colligative properties. Topics in modern biology, macromolecular behavior in solutions and interfaces, protein-ligand binding, and the hydrophobic effect
BMEN E4302BIOMECHANICS OF MUSCULOSKELETAL SOFT TIS3.00
points. Lect.: 3. seniors and graduate students. Biomechanics of orthopaedic soft tissues (cartilage, tendon, ligament, meniscus, etc.). Basic and advanced viscoelasticity applied to the muscoskeletal system. Topics include mechanical properties, applied viscoelasticity theory, and biology of orthopaedic soft tissues
Prerequisites: (ENME E3105) and (ENME E3113) and ENME E3105 AND ENME E3113 Applications of continuum mechanics to the understanding of various biological tissues properties. The structure, function, and mechanical properties of various tissues in biolgical systems, such as blood vessels, muscle, skin, brain tissue, bone, tendon, cartilage, ligaments, etc. are examined. The establishment of basic governing mechanical principles and constitutive relations for each tissue. Experimental determination of various tissue properties. Medical and clinical implications of tissue mechanical behavior
BMEN E4350Biomechanics of Developmental Biology3.00
Prerequisites: Undergraduate-level course in mechanics e.g., MECE E3113, BMEN E4310 and cell biology e.g., BIOL UN2005/6 or by instructor's permission. Biophysical mechanisms of tissue organization during embryonic development: conservation laws, reaction-diffusion, finite elasticity, and fluid mechanics are reviewed and applied to a broad range of topics in developmental biology, from early development to later organogenesis of the central nervous, cardiovascular, musculoskeletal, respiratory, and gastrointestinal systems. Subdivided into modules on patterning (conversion of diffusible cues into cell fates) and morphogenesis (shaping of tissues), the course will include lectures, problem sets, reading of primary literature, and a final project
Prerequisites: (PHYS UN1403) and (APMA E2101) or APMA E2101 AND PHYS C1403; or instructor's permission. Fundamental principles of Magnetic Resonance Imaging (MRI), including the underlying spin physics and mathematics of image formation with an emphasis on the application of MRI to neuroimaging, both anatomical and functional. The examines both theory and experimental design techniques
BMEN E4470Deep Learning for Biomedical Signal Processing3.00
Prerequisites: Recommended: background in Python programming. Introduction to methods in deep learning, focus on applications to biomedical signals and sequences. Review of traditional methods for analysis of signals and sequences. Temporal convolutional neural networks and recurrent neural networks. Long-short term memory (LSTM) models and deep state-space models. Theory and methods lectures accompanied with examples from biomedical signal and sequence analysis, including analysis of electroencephalogram (EEG), electrocardiogram (ECG/EKG), and genomics. Programming assignments use tensorflow/keras. Exams and final project required
BMEN E4480Statistical machine learning for genomics3.00
Prerequisites: APMA E2101 and MATH UN1202 and MATH UN2010 Proficiency in Python/R programming, and background in probability/statistics. Recommended: COMS W4771.
BMEN E4490Magnetic Resonance Spectroscopy: A Window to the Living Brain3.00
Prerequisites: BMEN E4001 OR BMEN E4002 Introduction to use of magnetic resonance spectroscopy (MRS) with focus on brain. Covers all aspects of in vivo MRS from theory to experiment, from data acquisition to the derivation of metabolic signatures, from study design to clinical interpretation. Includes theoretical concepts, hands-on training in MRS data literacy and direct experimental experience using a 3T MR scanner
BMEN E4500Functional Genomics: Methods and Applications3.00
Prerequisites: BIOL C2005 AND BIOL C2006 Introduces approaches for the functional genomic analysis of biological systems and their use to define genotype-phenotype relationships. Genetic variation, gene expression and regulation at the epigenome, chromatin organization level, and link between gene and protein expression covered. Case studies covered: study of cancer and cancer-associated processes, neuro-biology, and organismal development. The presented methods study these events at the genome, epigenome, transcriptome, and proteome levels.Approaches that increase the resolution of functional genomic assays to the level of individual cells, spatial profiling, integration with genetic and chemical screening methods, and their application to chemical genomic approaches also studied. Programming assignments and a final project required
Lect: 3. An introduction to the strategies and fundamental bioengineering design criteria in the development of biomaterials and tissue ngineered grafts. Materials structuralfunctional relationships, biocompatibility in terms of material and host responses. Through discussions, readings, and a group design project, students acquire an understanding of cell-material interactions and identify the arameters critical in the design and selection of biomaterials for biomedical applications.
Prerequisites: (BIOL UN2005) and (BIOL UN2006) and (BMEN E4001) and (BMEN E4002) BIOL C2005 AND BIOL C2006 AND BMEN E4001 AND BMEN E4002 An introduction to the strategies and fundamental bioengineering design criteria behind the development of cell-based tissue substitutes. Topics include biocompatibility, biological grafts, gene therapy-transfer, and bioreactors
Basic principles of synthetic biology and survey of the field. Fundamentals of biological circuits, including circuit design, modern techniques for DNA assembly, quantitative characterization of genetic circuits, and ODE modeling of biological circuits with MATLAB. Knowledge of biology, ordinary differential equations, and MATLAB will be assumed. Intended for advanced undergraduate and graduate students.
Prerequisites: BMEN E3010 Application of polymers and other materials in drug and gene delivery, with focus on recent advances in field. Basic polymer science, pharmacokinetics, and biomaterials, cell-substrate interactions, drug delivery system fabrication from nanoparticles to microparticles and electrospun fibrous membranes. Applications include cancer therapy, immunotherapy, gene therapy, tissue engineering, and regenerative medicine. Course readings include textbook chapters and journal papers. Homework assignments take format of assay responding to open-ended question. Term paper and 30-minute PowerPoint presentation required at end of semester
BMEN E4535Immunoengineering with Biomaterials and Nanotechnology3.00
Introduction to fundamental aspects of immunology and engineering strategies to modulate the immune system to improve human health. We will cover the innate and adaptive immune system and current methods to characterize the immune response. Applications focus on cancer, vaccines, and autoimmune disorders
Prerequisites: MATLAB and/or Python Practical implementation of neuroimaging techniques, data types, processing methods and clinical findings on independent datasets across a variety of neurological and psychiatric conditions. Basics from anatomy to digital image analysis will be explored culminating in a final project
Prerequisites: (MATH E1210 and APMA E2101 and APMA E3102) Prerequisites include ODE and PDE. Contact instructor if uncertain about background for course.
BMEN E4592Lessons from Transformational Medical Advances3.00
Examines innovation systems and technology adoption in medical advances, with a focus on translational analysis across devices, diagnostics, and therapeutics. Case-based evaluation of diagnostic imaging (CT, MRI, ultrasound), minimally invasive surgical systems, cardiovascular devices, and drug development pipelines. Frameworks for R＆D goal-setting, evaluation and testing protocols, regulatory constraints, technology diffusion, and multi-stakeholder development systems. For BMEN students, this course counts towards a technical elective, but not engineering content technical elective
Prerequisites: Obtained internship and approval from faculty advisor. BMEN graduate students only. Only for BMEN graduate students who need relevant work experience as part of their program of study. Final reports required. May not be taken for pass/fail credit or audited
Prerequisites: Targeted toward graduate students; undergraduate student may participate with instructor's permission. Review and critical discussion of recent literature in nanobiotechnology and synthetic biology. Experimental and theoretical techniques, critical advances. Quality judgments of scientific impact and technical accuracy. Styles of written and graphical communication, the peer review process
Second semester of project-based design experience for graduate students. Elements of design process, with focus on skills development, prototype development and testing, and business planning. Real-world training in biomedical design, innovation, and entrepreneurship
Introduction to and application of commercialization of biomedical innovations. Topics include needs clarification, stakeholder analysis, market analysis, value proposition, business models, intellectual property, regulatory, and reimbursement. Development of path-to-market strategy and pitch techniques
BMME E4702 One 3-credit research course can be counted toward the concentration if the research is approved by the student’s adviser and is biomechanics related. M.S. in Mechanical Engineering with Concentration in
BIOL UN2005 INTRO BIO I: BIOCHEM,GEN,MOLEC BIOL UN2006 INTRO BIO II:CELL BIO,DEV/PHYS BIOL UN2501 CONTEMPORARY BIOLOGY LAB BIOC UN3300 BIOCHEMISTRY Sustainable Process Engineering (taught as a CHEN 4900 Topics in Chemical Engineering course in Spring 2025; it will be given its own course number in future semesters) Climate, Environment, and Energy Solutions The coursework for a specialization in Climate, Environment, and Energy Solutions provides the student with an understanding of the fundamentals and technological challenges associated with solutions to the challenges of climate change and environmental pollution, including clean energy and storage, geoengineering, pollution control, and their environmental context. Furthermore, students may choose to learn about electrochemical processes that will continue to rise in importance as sustainable routes to leverage renewable energy for the production of chemicals, fuels, and materials. Any combination of four courses (12 points total) satisfies the Climate Solutions Specialization Requirement. n CHEN E3900 UNDERGRADUATE RESEARCH PROJECT
Covers biomaterials that are instructive or have been designed or engineered to be instructive; structure-function-property relationships in natural and synthetic biomaterials. Advances in understanding of material properties emphasized; including electroactivity, chemical, mechanical, geometry/architecture, and the modification of material surfaces and context of their effect on biological function. Evolving field of smart biomaterials discussed. Exercises/demonstrations using materials characterization equipment conducted. Fall 2026: BMEN E6520 Course Number Section/Call Number Times/Location Instructor Points Enrollment BMEN 6520 001/14460 W 1:10pm - 3:40pm 140 Uris Hall Treena Arinzeh 3.00 10/30
Candidates for the M.S. degree may conduct an investigation of some problem in biomedical engineering. No more than 6 points in this course may be counted for graduate credit
This is a Pass/Fail zero credit course, “BME Master's Thesis” for MS students who are in the process of doing a thesis (BMEN E9100). It would be registered for before/during the final semester, the semester when the student will be defending the thesis. It must be approved by the faculty mentor
Doctoral candidates are required to make an original investigation of a problem in biomedical engineering, the results of which are presented in the dissertation
All matriculated graduate students are required to attend the seminar as long as they are in residence. No degree credit is granted. The seminar is the principal medium of communication among those with biomedical engineering interests within the University. Guest speakers from other institutions, Columbia faculty, and students within the Department who are advanced in their studies frequently offer sessions
A candidate for the Eng.Sc.D. degree in biomedical engineering must register for 12 points of doctoral research instruction. Registration may not be used to satisfy the minimum residence requirement for the degree
A candidate for the doctorate in biomedical engineering or applied biology may be required to register for this course in every term after the students course work has been completed and until the dissertation has been accepted
