Math 425: Mathematical Biology

Catalog Information

Title

Mathematical Biology.

(Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

Offered

F

Prerequisite

Math 112.

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 be familiar with the following 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.

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

Additional Topics

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

Courses for which this course is prerequisite

None.