Math 5110/6830

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Professor J. Keener
Links: Professor Keener's home page Math Biology Program Department of Mathematics University of Utah 
Math 5110/6830  Introduction to Mathematical Biology  I
Time: T,TH 12:25  1:45 pm
Place: LCB 225
L. EdelsteinKeshet, Mathematical Models in Biology. SIAM
TA: Andrew Basinski, LCB 305. Office Hours: Tues. 10 am or by arrangement.
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The Course. Math 5110/6810 is designed to introduce the mathematically apt to some of the basic models and methods of mathematical biology. To succeed in this class, you will need to have had previous exposure to linear algebra and ordinary differential equations. (Prerequisite for the course is Math 2250 or Math 2280.) No previous knowledge of biology is necessary.
The first semester covers models of population dynamics, reaction kinetics, diseases, and cells that can be written as ordinary differential questions, delaydifferential equations, and discretetime dynamical systems.
Homework 1: Problems due September 4, 2012
Homework 2: Problems due September 13, 2012
Homework 3: Problems due September 27, 2012
Homework 4: Problems due October 4, 2012
Homework 5: Problems due November 6, 2012
Homework 6: Problems due November 20, 2007
Homework 7: Problems due November 27, 2012
Homework 8: Problems due December 6, 2012
Exam 1 (due Oct 19, 2012, 5pm)
Final Exam (due Dec. 12, 2012, 3pm.)
Extra readings are for students who are interested in learning more and pursuing the original literature, but are not required for the course. They are coordinated with the Mathematical Biology Journal Club.
Week of  Topic  Extra reading  
August 20  Introduction to Math Biology  
August 27  One dimensional maps PCR,population modeling code,data ,APD map  [1]  
September 3  Linear difference equations, structured populations, sage grouse model  [2 ]  
September 10  Systems of nonlinear equations  [3]  
September 17  Markov processes Gambler's Ruin simulation  
September 24  Applications of systems Nicholson Bailey Matlab code Beddington Matlab code  [4,5] ;Formal intro to ODEs  [6,7] 
October 1  Midterm exam  [8]  
October 8  Harvesting theory  [9,10]  
October 15  Intro to continuous time processes  [11,12]  
October 22  Differential equations first order ode solver code bimolecular reaction code  [13,14]  
October 28  The phase plane stochastic SIR DE matlab code  [15]  
November 5  Chemostats and competitive exclusion Chemostat foodchain matlab code  [16]  
November 12  gene networks, biochemical Kinetics  [17] [21]  
November 19  Switches and cooperativity  [18,19]  
November 26  gene networks Lac operon Matlab codept I pt II  [20]  
December 3  excitability notes, circadian rhythms, excitability  [20] 