- Libros
- PARABOLIC EQUATIONS IN BIOLOGY: GROWTH, REACTION, MOVEMENT AND DIFFUSION
- Libros
- PARABOLIC EQUATIONS IN BIOLOGY: GROWTH, REACTION, MOVEMENT AND DIFFUSION
PARABOLIC EQUATIONS IN BIOLOGY: GROWTH, REACTION, MOVEMENT AND DIFFUSION
Benoit Perthame
Anglais
PARABOLIC EQUATIONS IN BIOLOGY: GROWTH, REACTION, MOVEMENT AND DIFFUSION
Benoit PerthameSynopsis PARABOLIC EQUATIONS IN BIOLOGY: GROWTH, REACTION, MOVEMENT AND DIFFUSION
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.
EAN
9783319194998
Éditorial
Année d'édition
2015
pages
212
langage
Anglais
Collection
Lecture Notes on Mathematical Modelling in the Life Sciences
Haute
235
Largeur
155