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Parabolic equations in biology = gro...

Perthame, Benoit.

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Parabolic equations in biology = growth, reaction, movement and diffusion /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Parabolic equations in biology/ by Benoit Perthame.
Reminder of title:	growth, reaction, movement and diffusion /
Author:	Perthame, Benoit.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xii, 199 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1.Parabolic Equations in Biology -- 2.Relaxation, Perturbation and Entropy Methods -- 3.Weak Solutions of Parabolic Equations in whole Space -- 4.Traveling Waves -- 5.Spikes, Spots and Pulses -- 6.Blow-up and Extinction of Solutions -- 7.Linear Instability, Turing Instability and Pattern Formation -- 8.The Fokker-Planck Equation -- 9.From Jumps and Scattering to the Fokker-Planck Equation -- 10.Fast Reactions and the Stefan free Boundary Problem.
Contained By:	Springer eBooks
Subject:	Differential equations, Parabolic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-19500-1
ISBN:	9783319195001

Parabolic equations in biology = growth, reaction, movement and diffusion /
Perthame, Benoit.

Parabolic equations in biologygrowth, reaction, movement and diffusion /[electronic resource] :by Benoit Perthame. - Cham :Springer International Publishing :2015. - xii, 199 p. :ill. (some col.), digital ;24 cm. - Lecture notes on mathematical modelling in the life sciences,2193-4789. - Lecture notes on mathematical modelling in the life sciences..

1.Parabolic Equations in Biology -- 2.Relaxation, Perturbation and Entropy Methods -- 3.Weak Solutions of Parabolic Equations in whole Space -- 4.Traveling Waves -- 5.Spikes, Spots and Pulses -- 6.Blow-up and Extinction of Solutions -- 7.Linear Instability, Turing Instability and Pattern Formation -- 8.The Fokker-Planck Equation -- 9.From Jumps and Scattering to the Fokker-Planck Equation -- 10.Fast Reactions and the Stefan free Boundary Problem.

This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.

ISBN: 9783319195001

Standard No.: 10.1007/978-3-319-19500-1doiSubjects--Topical Terms:

560916
Differential equations, Parabolic.

LC Class. No.: QA377

Dewey Class. No.: 515.3534

Parabolic equations in biology = growth, reaction, movement and diffusion /
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100 1 $a Perthame, Benoit. $3 2162939
245 1 0 $a Parabolic equations in biology $h [electronic resource] : $b growth, reaction, movement and diffusion / $c by Benoit Perthame.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xii, 199 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes on mathematical modelling in the life sciences, $x 2193-4789
505 0 $a 1.Parabolic Equations in Biology -- 2.Relaxation, Perturbation and Entropy Methods -- 3.Weak Solutions of Parabolic Equations in whole Space -- 4.Traveling Waves -- 5.Spikes, Spots and Pulses -- 6.Blow-up and Extinction of Solutions -- 7.Linear Instability, Turing Instability and Pattern Formation -- 8.The Fokker-Planck Equation -- 9.From Jumps and Scattering to the Fokker-Planck Equation -- 10.Fast Reactions and the Stefan free Boundary Problem.
520 $a This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.
650 0 $a Differential equations, Parabolic. $3 560916
650 0 $a Computational biology. $3 590653
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710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes on mathematical modelling in the life sciences. $3 2056095
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19500-1
950 $a Mathematics and Statistics (Springer-11649)