大葉大學圖書館 |

Parabolic equations in biology[electronic resource] :growth, reaction, movement and diffusion /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.3534
書名/作者:	Parabolic equations in biology : growth, reaction, movement and diffusion // by Benoit Perthame.
作者:	Perthame, Benoit.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xii, 199 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Parabolic.
標題:	Computational biology.
標題:	Biomathematics.
標題:	Mathematics.
標題:	Mathematical and Computational Biology.
標題:	Applications of Mathematics.
ISBN:	9783319195001
ISBN:	9783319194998
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-19500-1

Parabolic equations in biology[electronic resource] :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:

465761
Differential equations, Parabolic.

LC Class. No.: QA377

Dewey Class. No.: 515.3534

Parabolic equations in biology[electronic resource] :growth, reaction, movement and diffusion /
LDR:02434nam a2200325 a 4500 001 444247
003 DE-He213
005 20160413131634.0
006 m d
007 cr nn 008maaau
008 160715s2015 gw s 0 eng d
020 $a 9783319195001 $q (electronic bk.)
020 $a 9783319194998 $q (paper)
024 7 $a 10.1007/978-3-319-19500-1 $2 doi
035 $a 978-3-319-19500-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PDE $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 515.3534 $2 23
090 $a QA377 $b .P468 2015
100 1 $a Perthame, Benoit. $3 635631
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 465761
650 0 $a Computational biology. $3 428845
650 0 $a Biomathematics. $3 427902
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Mathematical and Computational Biology. $3 465124
650 2 4 $a Applications of Mathematics. $3 463820
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Lecture notes on mathematical modelling in the life sciences. $3 590202
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19500-1
950 $a Mathematics and Statistics (Springer-11649)