Difference between revisions of "Math 425: Mathematical Biology"
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=== (Credit Hours:Lecture Hours:Lab Hours) === | === (Credit Hours:Lecture Hours:Lab Hours) === | ||
(3:3:0) | (3:3:0) | ||
| + | |||
| + | === Offered === | ||
| + | W (odd years) | ||
=== Prerequisite === | === Prerequisite === | ||
| − | [[Math | + | [[Math 334]]. |
=== Description === | === Description === | ||
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=== Minimal learning outcomes === | === Minimal learning outcomes === | ||
| − | Students should | + | 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: |
<div style="-moz-column-count:2; column-count:2;"> | <div style="-moz-column-count:2; column-count:2;"> | ||
| − | # Signal | + | # Signal Transduction |
#* Menten Michaelis enzyme dynamics | #* Menten Michaelis enzyme dynamics | ||
#* Law of mass action | #* Law of mass action | ||
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</div> | </div> | ||
| + | === 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 === | === Additional Topics === | ||
Latest revision as of 10:51, 14 November 2019
Contents
Catalog Information
Title
Mathematical Biology.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
W (odd years)
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
- Fitzhugh-Nagumo
- Nerve and heart dynamics
- Cell cycle model
- cAMP
- 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.
