Simulation of Morphogen and Tissue Dynamics

Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modeling this process can provide novel insights into development and the principles that orchestrate the developmental processes. This chapter focuses on the mathematical descrip...

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Bibliographic Details
Published inMethods in molecular biology (Clifton, N.J.) Vol. 1863; p. 223
Main Authors Multerer, Michael D, Wittwer, Lucas D, Stopka, Anna, Barac, Diana, Lang, Christine, Iber, Dagmar
Format Journal Article
LanguageEnglish
Published United States 2018
Subjects
Tissue mechanics
Tissue dynamics
In silico morphogenesis
Morphogen dynamics
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Summary:Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modeling this process can provide novel insights into development and the principles that orchestrate the developmental processes. This chapter focuses on the mathematical description and numerical simulation of developmental processes. In particular, we discuss the mathematical representation of morphogen and tissue dynamics on static and growing domains, as well as the corresponding tissue mechanics. In addition, we give an overview of numerical methods that are routinely used to solve the resulting systems of partial differential equations. These include the finite element method and the Lattice Boltzmann method for the discretization as well as the arbitrary Lagrangian-Eulerian method and the Diffuse-Domain method to numerically treat deforming domains.
ISSN:1940-6029
DOI:10.1007/978-1-4939-8772-6_13