Biology in time and space : a partial differential equation modeling approach
著者
書誌事項
Biology in time and space : a partial differential equation modeling approach
（The Sally series, . Pure and applied undergraduate texts ; 50）
American Mathematical Society, c2021
- : pbk
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注記
"Applied mathematics"--Cover
Includes bibliographical references (p. 299-303) and index
内容説明・目次
内容説明
How do biological objects communicate, make structures, make measurements and decisions, search for food, i.e., do all the things necessary for survival? Designed for an advanced undergraduate audience, this book uses mathematics to begin to tell that story. It builds on a background in multivariable calculus, ordinary differential equations, and basic stochastic processes and uses partial differential equations as the framework within which to explore these questions.
目次
Background material
Conservation-Learning how to count
The diffusion equation-Derivations
Realizations of a diffusion process
Solutions of the diffusion equation
Diffusion and reaction
The bistable equation-Part I: Derivations
The bistable equation-Part II: Analysis
Advection and reaction
Advection with diffusion
Chemotaxis
Spatial patterns
Dispersal-renewal theory
Collective behavior
Introduction to Matlab
Constants, units, and functions
Selected answers to exercises
Bibliography
Index
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