Parabolic equations in biology [Documento eletrónico] : growth, reaction, movement and diffusion / Benoît Perthame
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2015Description: XII, 199 p. : il.ISBN: 978-3-319-19500-1.Series: Lecture Notes on Mathematical Modelling in the Life SciencesSubject - Topical Name: Biomatemática | Matemática para engenheiros Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QH323.5.SPR FCT 96436 (Browse shelf(Opens below)) | 1 | Available |
Browsing Biblioteca NOVA FCT shelves, Shelving location: Online, Collection: Não Ficção Close shelf browser (Hides shelf browser)
QH323.5.SPR FCT 95177 Modelling, analysis and optimization of biosystems | QH323.5.SPR FCT 95279 Mathematics for life science and medicine | QH323.5.SPR FCT 95431 Modelli matematici in biologia | QH323.5.SPR FCT 96436 Parabolic equations in biology, growth, reaction, movement and diffusion | QH323.5.SPR FCT 96736 An operator semigroup in mathematical genetics | QH323.5.SPR FCT 96968 Mathematical models and methods for living systems, Levico Terme, Italy 2014 | QH323.5.SPR FCT 97101 Mathematical modeling and computational intelligence in engineering applications |
Colocação: Online
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.
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