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Book
Numerical simulation in physics and engineering, trends and applications : lecture notes of the XVIII 'Jacques-Louis Lions' Spanish-French School
Authors: --- ---
ISBN: 3030625435 3030625427 Year: 2021 Publisher: Cham, Switzerland : Springer,


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Book
Mathematical modelling and computational intelligence techniques : ICMMCIT-2021, Gandhigram, India February 10-12
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ISBN: 9811660174 9811660182 Year: 2021 Publisher: Gateway East, Singapore : Springer,


Book
Applied analysis, computation and mathematical modelling in engineering : select proceedings of AACMME 2021
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ISBN: 9811918236 9811918244 Year: 2022 Publisher: Singapore : Springer,


Book
Non-local cell adhesion models : symmetries and bifurcations in 1-D
Authors: ---
ISBN: 3030671119 3030671100 Year: 2021 Publisher: Cham, Switzerland : Springer,

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Abstract

This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.


Book
Trends in biomathematics : chaos and control in epidemics, ecosystems, and cells, selected works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020
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ISBN: 303073241X 3030732401 Year: 2021 Publisher: Cham, Switzerland : Springer,

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