642:613
Selected Math Topics Physiology and Medicine
Fall 03

if you are attending the course (registered or auditing), but you are not receiving regular emails, please send me an email with your email address

• papers for projects.
• slides and slides four to each page (to save paper) [both as of 16Sep03 19:20 EST]
• a maple computation on glycolitic oscillations (slightly revised 18sep), and the maple source file for it and an additional file showing a trapping region
• review slides on linear phase-planes and on limit cycles; and four to each page (to save paper)
  
• Hopf bifurcations brief introduction
• biology slides on cells and cell membranes; and four to each page (to save paper)
  
• introduction to diffusion; and four to each page (to save paper)
  
• diffusion simulation (FYI only; web page is from another course - ignore "project" writeup)
• Einstein's explanation of Brownian motion (another fun applet)
• slides on Sections 2.3-2.5, Membrane Diffusion & Transport; and four to each page (to save paper)
  (updated 2 Oct 03)
• mailing1 (informational announcement)
• mailing2 (analogy for cooperativity)
• mailing3 (answer to query about in-vivo oscillations)
• diffusion generates voltage applet (Nernst); click on "Case of a Membrane Permeable to Potassium" and on "Ion Movements Generate a Membrane Potential" or directly on this and this link
• Nobel Prize in chemistry announced today: ion channels and water transport in cell membranes!
• slides on rest of chapter 2; and four to each page (to save paper)
• answers to homework 1 (by Liming Wang)
• slides on chapter 4; and four to each page (to save paper)
• Hodgin-Huxley applet
• approximation argument (sketch) for fast phase plane time-scale decomposition
• slides about bursting (just part of section 6.5)
• slides for probabilistic model of channels
• cellular automata simulations of excitable systems (a very simple model, just as an introduction)
• applet for cellular automaton simulation of excitable media and spiral waves (stop-run-start to restart; set delay in parameters (click for window) at 2000 for slow motion; start with neighborhood=1)
• cable equation slides
• wave fronts and pulses

Student performance will be evaluated based on class participation (attendance to every class is expected), projects, and class presentations.

The book's Table of Contents is as follows:

• Part I, Cellular Physiology.
  • Biochemical Reactions
  • Cellular Homeostasis
  • Membrane Ion Channels
  • Excitability
  • Calcium Dynamics
  • Bursting Electrical Activity
  • Intercellular Communication
  • Passive Electrical Flow in Neurons
  • Nonlinear Wave Propagation
  • Wave Propagation in Higher Dimensions
  • Cardiac Propagation
  • Calcium Waves
  • Regulation of Cell Function
• Part II Systems Physiology
  • Cardiac Rhythmicity
  • The Circulatory System
  • Blood
  • Respiration
  • Muscle
  • Hormone Physiology
  • Renal Physiology
  • The Gastrointestinal System
  • The Retina and Vision
  • The Inner Ear