Biology in time and space : a partial differential equation modeling approach

Author(s)

• Keener, James P.

Bibliographic Information

Biology in time and space : a partial differential equation modeling approach

James P. Keener

（The Sally series, . Pure and applied undergraduate texts ; 50）

American Mathematical Society, c2021

• : pbk

Note

"Applied mathematics"--Cover

Includes bibliographical references (p. 299-303) and index

Description and Table of Contents

Description

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BC08172245
• ISBN:
  • 9781470454289
• LCCN: 2020041397
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xv, 307 p.
• Size: 26 cm
• Classification:
  • LCC : QH323.5
  • DC23 : 570.1/51
• Subject Headings:
  • LCSH : Biomathematics
  • LCSH : Differential equations, Partial
• Parent Bibliography ID:
  • BA8980131X