Mathematical Analysis and Approximation of PDE-Chemotaxis Models
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Beschreibung
This book provides the latest scientific advances presented at the 9ECM for mathematical modeling of the biological process of chemotaxis. The wide range of techniques presented includes seven contributions from various countries, approaches exploring different properties and numerical approaches. Taxis is an important biological process that takes place in embryonic development, cancer invasion and tumor angiogenesis, among others. In fact, it is present in everything that induces movement in living organisms. More specifically, in chemotaxis, movement is induced by a chemical agent. Mathematical models of chemotaxis, since the pioneering work of Keller and Segel, attempt to reproduce this biological process. In addition to the advantages that mathematical models can have for optimizing resources and improving treatments associated with living organisms, their study from a theoretical and numerical perspective raises a mathematical challenge. The target audience of this book is any researcher interested in the mathematical analysis of biological phenomena associated with any type of taxis and modeled with PDEs.
This book provides the latest scientific advances presented at the 9ECM for mathematical modeling of the biological process of chemotaxis. The wide range of techniques presented includes seven contributions from various countries, approaches exploring different properties and numerical approaches. Taxis is an important biological process that takes place in embryonic development, cancer invasion and tumor angiogenesis, among others. In fact, it is present in everything that induces movement in living organisms. More specifically, in chemotaxis, movement is induced by a chemical agent. Mathematical models of chemotaxis, since the pioneering work of Keller and Segel, attempt to reproduce this biological process. In addition to the advantages that mathematical models can have for optimizing resources and improving treatments associated with living organisms, their study from a theoretical and numerical perspective raises a mathematical challenge. The target audience of this book is any researcher interested in the mathematical analysis of biological phenomena associated with any type of taxis and modeled with PDEs.
Highlights different approaches to analysing the biological process of chemotaxis Encompasses a wide range of different techniques applied in different mathematical approaches Presents novel models that capture realistic effects not covered in classical models
Autor*in
Cristian Morales-Rodrigo
Themen in »Mathematical Analysis and Approximation of PDE-Chemotaxis Models«
Partial differential equations Chemotaxis Keller-Segel model Travelling waves Predator–prey interaction Indirect signal production Gradient terms Local sensing Generalized finite difference Discontinuous Galerkin