Biology in Time and Space

A Partial Differential Equation Modeling Approach

James P. Keener (Autor)

Buch | Softcover

314 Seiten

2021
American Mathematical Society (Verlag)
978-1-4704-5428-9 (ISBN)

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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.

James P. Keener, University of Utah, Salt Lake City, UT

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

Erscheinungsdatum	08.02.2021
Reihe/Serie	Pure and Applied Undergraduate Texts
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	575 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften
ISBN-10	1-4704-5428-9 / 1470454289
ISBN-13	978-1-4704-5428-9 / 9781470454289
Zustand	Neuware