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BIOE 300B - Quantitative Physiology


For Fall 2020, course meets virtually MWF 10:00 - 11:30AM.


This course surveys weekly topics in physiology and mathematics for those interested in building intuition surrounding quantifying biological phenomenon. While each week’s physiological topic will be different, the mathematical topics will build across weeks, culminating in a final problem set which will bring together the entire quarter’s math into a single application in neuroengineering. Weekly problem sets aim to cover the week’s physiological concept from both an analytical approach and numerical simulation in Python. Specific emphasis is placed on understanding the approach to using tools and techniques for solving problems and justifying answers.
 
Biological Topic Mathematical Technique
Epidemiological spread of infectious disease Linear algebra & Dynamical systems

(stability & fixed-point analysis)
Cardiovascular system flow

Passive circuits (2nd order ODEs)

LTI systems

Endocrine system: insulin/glucagon feedback

State space control

Laplace transforms

Auditory system

Middle ear impedance matching

Signal processing & filtering

Fourier transforms

Impedance & Power transfer

Membrane diffusion

Action potentials

Monte Carlo Methods

Bootstrapping

Cortical activity of movement

Deminsionality reduction (PCA)

Estimation & Classification

 



Last modified: 
02/15/2021 - 10:52