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BIOE 300B - Quantitative Physiology


For Fall 2022, course meets MWF 3 - 4:30PM.

  • Syllabus

  • 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: 
10/03/2022 - 14:31