Mathematical analysis and approximation of PDE-chemotaxis models Cristian Morales-Rodrigo, María Ángeles Rodríguez-Bellido, Antonio Suárez, editors

Format:

Book

Conference/Event

Author/Creator:

Morales-Rodrigo, Cristian

Contributor:

Morales-Rodrigo, Cristian, editor.

Rodríguez-Bellido, María Ángeles, editor.

Suárez, Antonio, editor.

Conference Name:

European Congress of Mathematics (9th : 2024 : Seville, Spain)

Series:

SEMA SIMAI Springer series ; 2199-305X v.43

SEMA SIMAI Springer Series 2199-305X volume 43

Language:

English

Subjects (All):

Chemotaxis--Mathematical models--Congresses.

Chemotaxis.

Physical Description:

1 online resource

Place of Publication:

Cham Springer 2026

System Details:

text file PDF

Summary:

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

Contents:

Chapter 1. On a linear DG approximation of chemotaxis models with damping gradient nonlinearities

Chapter 2. Boundedness in a nonlinear chemotaxis-consumption model with gradient terms

Chapter 3. A short note on concentration phenomena for chemotaxis systems with local sensing

Chapter 4. On the Cauchy problem of a chemotaxis system with indirect signal production

Chapter 5. On traveling waves of generalized chemotaxis models of Keller-Segel type inspired in Doebner-Goldin theory

Chapter 6. A predator-prey system with diffusion and chemotaxis

Chapter 7. Mathematical aspects of parabolic-elliptic chemotactic systems with flux limitation

Notes:

Description based on publisher supplied metadata and other sources

ISBN:

9783032147899

3032147891

OCLC:

1592094304