BIOE 300B - Quantitative Physiology
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. The course employs applications modeling epidemiological spread of disease in a population, cardiovascular circuitry, feedback control of the insulin/glucagon endocrine system, middle ear auditory conduction, diffusion across charged membranes, and cortical movement intention. The course will cover topics in engineering mathematics for each of these applications, spanning linear algebra, dynamical systems (stability and fixed-point analysis), passive circuit modeling, LTI systems, state space control, Laplace transforms, signal processing and filtering, Fourier transforms, Monte Carlo simulation, bootstrapping, linear dimensionality reduction (PCA), and simple statistical estimation and machine learning. Specific emphasis is placed on understanding the approach to using tools and techniques for solving problems and justifying answers.
For Fall 2019, course meets MWF 1:30 - 2:50PM in Clark S361.
Office hours are MWF from 3-4:30PM in the same room.
Syllabus and schedule will be posted soon.
An option for credit/no credit instead of a letter grade is available for this course with permissionf of the instructor. This option is only available for students who are outside the graduate program in Bioengineering. All students looking to receive credit for this course towards a graduate degree in Bioengineering (coterm/MS/PhD) must register for 300B for a letter grade.