Description

Book Synopsis

This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.



Table of Contents
From differential equations to structured population dynamics.- Adaptive dynamics; an asymptotic point of view.- Population balance equations: the renewal equation.- Population balance equations: size structure.- Cell motion and chemotaxis.- General mathematical tools.

Transport Equations in Biology

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    A Paperback / softback by Benoît Perthame

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      Publisher: Birkhauser Verlag AG
      Publication Date: 23/10/2006
      ISBN13: 9783764378417, 978-3764378417
      ISBN10: 3764378417
      Also in:
      Differential calculus and equations Computational biology / bioinformatics Ecological science, the Biosphere

      Description

      Book Synopsis

      This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.



      Table of Contents
      From differential equations to structured population dynamics.- Adaptive dynamics; an asymptotic point of view.- Population balance equations: the renewal equation.- Population balance equations: size structure.- Cell motion and chemotaxis.- General mathematical tools.

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