2008-2009 Bulletin â PDF - SEAS Bulletin - Columbia University
2008-2009 Bulletin â PDF - SEAS Bulletin - Columbia University
2008-2009 Bulletin â PDF - SEAS Bulletin - Columbia University
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Students must register for BMEN<br />
E9700: Biomedical engineering seminar<br />
and for research rotations during the<br />
first two semesters of graduate study.<br />
Remaining courses should be selected<br />
in consultation with the student’s faculty<br />
adviser to prepare for the doctoral qualifying<br />
examination and to develop expertise<br />
in a clearly identified area of biomedical<br />
engineering. Up to 12 credits of research<br />
(BMEN E9500) may be applied toward<br />
doctoral degree course requirements.<br />
All graduate students admitted to the<br />
doctoral degree program must satisfy the<br />
equivalent of three semesters’ experience<br />
in teaching. This may include<br />
supervising and assisting undergraduate<br />
students in laboratory experiments, grading,<br />
and preparing lecture materials to<br />
support the teaching mission of the<br />
department.<br />
Doctoral Qualifying Examination<br />
Doctoral candidates are required to pass<br />
a qualifying examination. This examination<br />
is given once a year, in January. It should<br />
be taken after the student has completed<br />
30 points of graduate study. The qualifying<br />
examination consists of oral and written<br />
examinations. The oral examination consists<br />
of the analysis of assigned scientific<br />
papers, and the written examination<br />
covers three areas: applied mathematics,<br />
quantitative biology and physiology, and<br />
track-specific material. Students must<br />
declare a track (biomedical imaging,<br />
biomechanics, or cell and tissue engineering)<br />
at the time of registration for<br />
the qualifying examination. A minimum<br />
cumulative grade-point average of 3.2 is<br />
required to register for this examination.<br />
Doctoral Committee and Thesis<br />
Students who pass the qualifying<br />
examination choose a faculty member<br />
to serve as their research adviser.<br />
Each student is expected to submit a<br />
research proposal and present it to a<br />
thesis committee that consists of three<br />
to five faculty members. The committee<br />
considers the scope of the proposed<br />
research, its suitability for doctoral<br />
research and the appropriateness of the<br />
research plan. The committee may<br />
approve the proposal without reservation<br />
or may recommend modifications. In<br />
general, the student is expected to sub<br />
mit his/her research proposal after five<br />
semesters of doctoral studies. In accord<br />
with regulations of The Fu Foundation<br />
School of Engineering and Applied<br />
Science, each student is expected to<br />
submit a thesis and defend it before a<br />
committee of five faculty, two of whom<br />
hold primary appointments in another<br />
department. Every doctoral candidate is<br />
expected to have had accepted at least<br />
one full-length paper for publication in a<br />
peer-reviewed journal prior to recommendation<br />
for award of the degree.<br />
COURSES IN BIOMEDICAL<br />
ENGINEERING<br />
See also Applied Physics, Mechanical<br />
Engineering, Cell Biology, Microbiology,<br />
Chemical Engineering, Computer<br />
Science, Electrical Engineering, Biomedical<br />
Informatics, and Physiology.<br />
BMEN E1001x Engineering in medicine<br />
Lect: 3. 3 pts. Professor Hung and guest lecturers.<br />
The present and historical role of engineering in<br />
medicine and health care delivery. Engineering<br />
approaches to understanding organismic and<br />
cellular function in living systems. Engineering in<br />
the diagnosis and treatment of disease. Medical<br />
imaging, medical devices: diagnostic and surgical<br />
instruments, drug delivery systems, prostheses,<br />
artificial organs. Medical informatics and organization<br />
of the health care system. Current trends<br />
in biomedical engineering research.<br />
BMEN E2300x or y Biomechanics track<br />
0 pts.<br />
Rising juniors are required to register for this<br />
course in the spring of their sophomore year if<br />
they choose the biomechanics track.<br />
BMEN E2400x or y Biomedical imaging track<br />
0 pts.<br />
Rising juniors are required to register for this<br />
course in the spring of their sophomore year if<br />
they choose the biomedical imaging track.<br />
BMEN E2500x or y Cell and tissue engineering<br />
track<br />
0 pts.<br />
Rising juniors are required to register for this<br />
course in the spring of their sophomore year if<br />
they choose the cell and tissue engineering track.<br />
ECBM E3060x Introduction to genomic information<br />
science and technology<br />
Lect: 3. 3 pts. Professor Anastassiou.<br />
Introduction to the information system paradigm<br />
of molecular biology. Representation, organization,<br />
structure, function, and manipulation of the<br />
biomolecular sequences of nucleic acids and proteins.<br />
The role of enzymes and gene regulatory<br />
elements in natural biological functions as well<br />
as in biotechnology and genetic engineering.<br />
Recombination and other macromolecular<br />
processes viewed as mathematical operations<br />
with simulation and visualization using simple<br />
computer programming. This course shares<br />
lectures with ECBM E4060, but the work requirements<br />
differ somewhat.<br />
BMEN E3150y The cell as a machine<br />
Lect: 3. 3 pts. Professor Sheetz.<br />
Prerequisite: Calc. IA or IS; corequisite: one<br />
semester of cell biology or biochemistry, and<br />
one semester of general physics or equivalent.<br />
Cells as complex micron-sized machines, basic<br />
physical aspects of cell components (diffusion,<br />
mechanics, electrostatics, hydrophobicity), energy<br />
transduction (motors, transporters, chaperones,<br />
synthesis complexes), basic cell functions.<br />
Biophysical principles, feedback controls for<br />
robust cell function, adaptation to environmental<br />
perturbations.<br />
BMEN E3320y Fluid biomechanics<br />
Lect: 3. 3 pts. Professor Elad.<br />
Prerequisites: MATH E1210. The principles of<br />
continuum mechanics as applied to biological<br />
fluid flows and transport. Course covers continuum<br />
formulations of basic conservation laws, Navier-<br />
Stokes equations, mechanics of arterial and venous<br />
blood flow, blood rheology and non-Newtonian<br />
properties, flow and transport in the microcirculation,<br />
oxygen diffusion, capillary filtration.<br />
BMCH E3500y Biological transport and rate<br />
processes<br />
Lect: 3. 3 pts. Professor Leonard.<br />
Prerequisites: CHEM C3443, MATH E1210;<br />
corequisite: BIOL C2005. Convective and diffusive<br />
movement and reaction of molecules in biological<br />
systems. Kinetics of homogeneous and heterogeneous<br />
reactions in biological environments.<br />
Mechanisms and models of transport across<br />
membranes. Convective diffusion with and without<br />
chemical reaction. Diffusion in restricted<br />
spaces. Irreversible thermodynamic approaches<br />
to transport and reaction in biological systems.<br />
BMEN E3810y Biomedical engineering<br />
laboratory, I<br />
Lab: 4. 3 pts. Professor Sia.<br />
Statistical analysis of experimental measurements:<br />
normal distribution, test of significance,<br />
linear regression, correlation, error analysis and<br />
propagation. MATLAB programming, EKG signal<br />
acquisition and processing, microscopy, cell<br />
counting and scaffold encapsulation, mechanical<br />
testing of linear and nonlinear biomaterials.<br />
BMEN E3820x Biomedical engineering<br />
laboratory, II<br />
Lab: 4. 3 pts. Professor Guo.<br />
Statistical analysis of experimental measurements:<br />
analysis of variance, power analysis. Circuit<br />
implementation of nerve conduction, alginate<br />
73<br />
<strong>SEAS</strong> <strong>2008</strong>–<strong>2009</strong>