Transport Equations in Biology [electronic resource] /by Benoît Perthame.
by Perthame, Benoît [author.]; SpringerLink (Online service).
Material type:
BookSeries: Frontiers in Mathematics: Publisher: Basel : Birkhäuser Basel, 2007.Description: VIII, 198 p. 28 illus. online resource.ISBN: 9783764378424.Subject(s): Mathematics | Differentiable dynamical systems | Differential Equations | Biology -- Mathematics | Mathematics | Mathematical Biology in General | Ordinary Differential Equations | Dynamical Systems and Ergodic TheoryDDC classification: 570.151 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QH323.5 (Browse shelf) | Available |
Browsing MAIN LIBRARY Shelves Close shelf browser
| QH323.5 Hysteresis Phenomena in Biology | QH323.5 Simultaneous Statistical Inference | QH323.5 Fractals in Biology and Medicine | QH323.5 Transport Equations in Biology | QH323.5 Single-Cell-Based Models in Biology and Medicine | QH323.5 Aspects of Mathematical Modelling | QH323.5 Modelli Matematici in Biologia |
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.
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.
There are no comments for this item.