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Parabolic equations in biology[elect...
~
Perthame, Benoit.
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 biology
growth, 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 /
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