2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

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speakers from Physicians and Surgeons,
Columbia Law School, Columbia College, and
local industry.
BMEB W4020x Computational neuroscience:
circuits in the brain
3 pts. Lect: 3. Professor Lazar.
Prerequisite: ELEN E3801 or BIOL W3004.
The biophysics of computation: modeling
biological neurons, the Hodgkin-Huxley neuron,
modeling channel conductances and synapses
as memristive systems, bursting neurons and
central pattern generators, I/O equivalence
and spiking neuron models. Information
representation and neural encoding: stimulus
representation with time encoding machines,
the geometry of time encoding, encoding with
neural circuits with feedback, population time
encoding machines. Dendritic computation:
elements of spike processing and neural
computation, synaptic plasticity and learning
algorithms, unsupervised learning and spike
time-dependent plasticity, basic dendritic
integration. Projects in MATLAB.
ECBM E4060x Introduction to genomic
information
3 pts. Lect: 3. Professor Varadan.
Prerequisites: None. Introduction to the
information system paradigm of molecular
biology. Representation, organization, structure,
function and manipulation of the biomolecular
sequence of nucleic acids and proteins. The
role of enzymes and gene regulatory elements
in natural biological functions as well as
in biotechnology and genetic engineering.
Recombination and other macromolecular
processes viewed as mathematical operations
with simulation and visualization using simple
computer programming.
BMEN E4103x Anatomy of the thorax and
abdomen
2 pts. Lect: 2. Professor April.
Prerequisite: graduate standing in Biomedical
Engineering. This course is designed for the
Biomedical Engineering graduate student
interested in acquiring in-depth knowledge of
anatomy relevant to his/her doctoral research.
Lectures and tutorial sessions may be taken
with or without the associated laboratory (BMEN
E4104).
BMEN E4104x Anatomy laboratory: thorax
and abdomen
2 pts. Lect: 2. Professor April.
Prerequisites: Graduate standing in Biomedical
Engineering. Corequisites: BMEN E4103.
BMEN E4105x Anatomy of the extremities
2 pts. Lect: 2. Professor April.
Prerequisite: Graduate standing in Biomedical
Engineering. This course is designed for the
Biomedical Engineering graduate student
interested in acquiring in-depth knowledge of
anatomy relevant to his/her doctoral research.
Lectures and tutorial sessions may be taken
with or without the associated laboratory (BMEN
E4106).
BMEN E4106x Anatomy laboratory:
extremities
2 pts. Lab: 2. Professor April.
Prerequisites: Graduate standing in Biomedical
Engineering. Corequisites: BMEN E4105.
BMEN E4107x Anatomy of the head and neck
2 pts. Lect: 2. Professor April.
Prerequisite: Graduate standing in Biomedical
Engineering. This course is designed for the
Biomedical Engineering graduate student
interested in acquiring in-depth knowledge of
anatomy relevant to his/her doctoral research.
Lectures and tutorial sessions may be taken
with or without the associated laboratory
(BMEN E4108).
BMEN E4108x Anatomy laboratory: head
and neck
2 pts. Lab: 2. Professor April.
Prerequisites: Graduate standing in Biomedical
Engineering. Corequisites: BMEN E4107.
BMEN E4210x Thermodynamics of biological
systems
4 pts. Lect: 4. Professor Sia.
Prerequisites: CHEM C1404 and MATH
V1202. Corequisite: BIOL C2005 or equivalent.
Introduction to the thermodynamics of biological
systems, with a focus on connection microscopic
molecular properties to macroscopic states. Both
classical and statistical thermodynamics are
applied to biological systems; phase equilibria,
chemical reactions, and colligative properties.
Topics in modern biology, macromolecular
behavior in solutions and interfaces, proteinligand
binding, and the hydrophobic effect.
BMEN E4300y Solid biomechanics
3 pts. Lect: 3. Professor Jacobs.
Prerequisites: ENME-MECE E3105 and ENME
E3113. This course introduces applications
of continuum mechanics to the understanding
of various biological tissues properties. The
structure, function, and mechanical properties
of various tissues in biological systems, such
as blood vessels, muscle, skin, brain tissue,
bone, tendon, cartilage, ligaments, etc., are
examined. The focus is on the establishment
of basic governing mechanical principles
and constitutive relations for each tissue.
Experimental determination of various tissue
properties is introduced and demonstrated. The
important medical and clinical implications tissue
mechanical behavior are emphasized.
BMEN E4301x Structure, mechanics, and
adaptation of bone
3 pts. Lect: 3. Professor Guo.
Introduction to structure, physiology, and
biomechanics of bone. Structure, function,
and physiology of skeletal bones; linear
elastic properties of cortical and trabecular
bone; anisotropy and constitutive models of
bone tissue; failure and damage mechanics
of bone; bone adaptation and fracture
healing; experimental determination of bone
properties; and morphological analysis of bone
microstructure.
BMEN E4305y Cardiac mechanics
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisites: BMEN E3310 and BMEN E3320
or equivalents. Cardiac anatomy, passive
myocardial constitutive properties, electrical
activation, ventricular pump function, ventricularvascular
coupling, invasive and noninvasive
measures of regional and global function, models
for predicting ventricular wall stress. Alterations
in muscle properties and ventricular function
resulting from myocardial infarction, heart failure,
and left ventricular assist.
BMEN E4340x Biomechanics of cells
3 pts. Lect: 3. Professor Jacobs.
Prerequisites: BMEN E3320 and BMEN
E4300 or equivalents. Survey of experiments
and theoretical analyses of the mechanical
behavior of individual living nonmuscle cells.
Emphasis on quantitative analytic description
using continuum mechanics and molecular
level theory from the standpoint of statistical
mechanics and mechanical models. Mechanics
of erythrocytes, leukocytes, endothelial cells, and
fibroblasts; models of aggregation, adhesion,
locomotion, amoeba motility, cell division and
morphogenesis; molecular level models of actin,
myosin, microtubules, and intermediate filaments
and relation to mechanical properties of cells and
cytoskeleton. Alternative models of cytoskeletal
mechanics, foam theory, tensegrity. Analysis of
experimental techniques including micropipette
studies, optical and magnetic cytometry, and
nanoindentation.
BMEE E4400y Wavelet applications in
biomedical image and signal processing
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisites: AMAP 3101 or equivalent. An
introduction to methods of wavelet analysis and
processing techniques for the quantification of
biomedical images and signals. Topics include:
frames and overcomplete representations, multiresolution
algorithms for denoising and image restoration,
multiscale texture segmentation and classification
methods for computer aided diagnosis.
BMEN E4410y Ultrasound in diagnostic
imaging
3 pts. Lect: 3. Professor Konofagou.
Prerequisites: MATH V1105 or equivalent,
Fourier analysis. Physics of diagnostic
ultrasound and principles of ultrasound imaging
instrumentation. Propagation of plane waves
in lossless medium; ultrasound propagation
through biological tissues; single-element
and array transducer design; pulse-echo and
Doppler ultrasound instrumentation, performance
evaluation of ultrasound imaging systems using
tissue-mimicking phantoms, ultrasound tissue
characterization; ultrasound nonlinearity and
bubble activity; harmonic imaging; acoustic
output of ultrasound systems; biological effects
of ultrasound.
engineering 2011–2012