A01=John Guckenheimer
A01=Stephen P. Ellner
Accuracy and precision
Action potential
Addition
Approximation
Author_John Guckenheimer
Author_Stephen P. Ellner
Bifurcation theory
Biology
Boundary value problem
Calculation
Case study
Category=PBWH
Category=PS
Category=UGK
Chemical reaction
Coefficient
Computational model
Computer simulation
Derivative
Diagram
Diagram (category theory)
Differential equation
Disease
Division by zero
Eigenvalues and eigenvectors
Enzyme kinetics
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Equation
Equilibrium point
Error
Estimation
Expected value
Experimental data
Fecundity
Histogram
Initial condition
Law of mass action
Linear algebra
Linearization
Markov chain
Mathematical analysis
Mathematics
Measles
Measurement
Michaelis-Menten kinetics
Molecule
Mortality rate
Normal distribution
Numerical analysis
Organism
Parameter
Phase portrait
Population model
Population size
Prediction
Probability
Probability distribution
Protein
Quantity
Random variable
Rate equation
Regulation of gene expression
Requirement
Result
Sensitivity analysis
Simulation
State variable
Stochastic
Summation
Theory
Two-dimensional space
Vaccination
Variable (mathematics)
Variance
Vector field
Voltage clamp
Product details
- ISBN 9780691125893
- Weight: 709g
- Dimensions: 178 x 254mm
- Publication Date: 16 Apr 2006
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.
Stephen P. Ellner is Professor of Ecology and Evolutionary Biology at Cornell University. He has published numerous papers on subjects from measles epidemics to bumblebee behavior, in publications including "Science" and "Nature". John Guckenheimer is Professor of Mathematics at Cornell University. He is the coauthor of "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields".
