Online Library TheLib.net » Transport Equations in Biology
cover of the book Transport Equations in Biology

Ebook: Transport Equations in Biology

00
27.01.2024
0
0

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 (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion).

Original mathematical methods described are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations, and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations.




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 (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion).

Original mathematical methods described are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations, and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations.


Content:
Front Matter....Pages i-ix
From differential equations to structured population dynamics....Pages 1-26
Adaptive dynamics; an asymptotic point of view....Pages 27-53
Population balance equations: the renewal equation....Pages 55-80
Population balance equations: size structure....Pages 81-110
Cell motion and chemotaxis....Pages 111-149
General mathematical tools....Pages 151-178
Back Matter....Pages 179-198


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 (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion).

Original mathematical methods described are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations, and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations.


Content:
Front Matter....Pages i-ix
From differential equations to structured population dynamics....Pages 1-26
Adaptive dynamics; an asymptotic point of view....Pages 27-53
Population balance equations: the renewal equation....Pages 55-80
Population balance equations: size structure....Pages 81-110
Cell motion and chemotaxis....Pages 111-149
General mathematical tools....Pages 151-178
Back Matter....Pages 179-198
....
Download the book Transport Equations in Biology for free or read online
Read Download
Continue reading on any device:
QR code
Last viewed books
Related books
Comments (0)
reload, if the code cannot be seen