Math 425: Mathematical Biology

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Catalog Information

Title

Mathematical Biology.

(Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

Offered

W (even years)

Prerequisite

Math 334.

Description

Using tools in mathematics to help biologists. Motivating new mathematics with questions in biology.

Desired Learning Outcomes

Students should gain a familiarity with how the disciplines of mathematics and biology can complement each other.

Prerequisites

A knowledge of calculus (and the mathematical maturity that having passed Math 112 entails) should suffice.

Minimal learning outcomes

Students should become familiar with discrete and continuous models of biological phenomena. They should know the technical terms, and be able to implement the procedures taught in the course to solve problems based on these models. Possible topics include:

  1. Signal Transduction
    • Menten Michaelis enzyme dynamics
    • Law of mass action
    • Dynamical systems
    • Bifurcation
  2. Example systems
    • Fitzhugh-Nagumo
    • Nerve and heart dynamics
    • Cell cycle model
    • cAMP
  3. Population models
    • Continuous predator-prey
    • Age structured models
    • Discrete dynamical systems
    • Time delayed differential equations
    • Stochastic models

Textbooks

Possible textbooks for this course include (but are not limited to):

  • A Course in Mathematical Biology. Quantitative Modeling with Mathematical and Computational Methods. By Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Muller, Birgitt Schonfisch

Additional Topics

These are at the discretion of the instructor as time allows.


Courses for which this course is prerequisite

None.