Difference between revisions of "Math 425: Mathematical Biology"
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Revision as of 16:10, 3 April 2013
Contents
Catalog Information
Title
Mathematical Biology.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
F
Prerequisite
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:
 Signal Transduction
 Menten Michaelis enzyme dynamics
 Law of mass action
 Dynamical systems
 Bifurcation
 Example systems
 FitzhughNagumo
 Nerve and heart dynamics
 Cell cycle model
 cAMP
 Population models
 Continuous predatorprey
 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.