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作者 Perthame, Benoit, author
書名 Parabolic equations in biology : growth, reaction, movement and diffusion / by Benoit Perthame
出版項 Cham : Springer International Publishing : Imprint: Springer, 2015
國際標準書號 9783319195001 (electronic bk.)
9783319194998 (paper)
國際標準號碼 10.1007/978-3-319-19500-1 doi
book jacket
說明 1 online resource (xii, 199 pages) : illustrations (some color), digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Lecture notes on mathematical modelling in the life sciences, 2193-4789
Lecture notes on mathematical modelling in the life sciences
附註 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
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
Host Item Springer eBooks
主題 Differential equations, Parabolic
Computational biology
Biomathematics
Mathematics
Mathematical and Computational Biology
Applications of Mathematics
Alt Author SpringerLink (Online service)
記錄 9 之 13
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