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Simulation of Morphogen and Tissue Dynamics.

Michael D Multerer1, Lucas D Wittwer1, Anna Stopka1

  • 1Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland.

Methods in Molecular Biology (Clifton, N.J.)
|October 17, 2018
PubMed
Summary
This summary is machine-generated.

This study models biological development, or morphogenesis, using mathematical and computational approaches. It explores how cells and tissues change over time to form organisms, aiding understanding of developmental principles.

Keywords:
In silico morphogenesisMorphogen dynamicsTissue dynamicsTissue mechanics

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Area of Science:

  • Developmental Biology
  • Computational Biology
  • Mathematical Biology

Background:

  • Morphogenesis, the emergence of an adult organism from a single cell, is a fundamental biological process.
  • Understanding the principles governing morphogenesis is crucial for developmental biology.
  • Mathematical modeling and numerical simulation offer powerful tools to investigate complex developmental processes.

Purpose of the Study:

  • To provide a mathematical description and numerical simulation of developmental processes.
  • To represent morphogen and tissue dynamics on static and growing domains.
  • To discuss tissue mechanics within the context of morphogenesis.

Main Methods:

  • Mathematical representation of morphogen and tissue dynamics.
  • Numerical simulation of partial differential equations governing development.
  • Application of methods like the finite element method and Lattice Boltzmann method for discretization.
  • Utilizing arbitrary Lagrangian-Eulerian and Diffuse-Domain methods for deforming domains.

Main Results:

  • The chapter details mathematical frameworks for modeling morphogen and tissue dynamics.
  • It presents numerical methods essential for solving complex developmental equations.
  • The study covers techniques for handling both static and deforming biological domains.

Conclusions:

  • Mathematical modeling and numerical simulations are vital for unraveling the complexities of morphogenesis.
  • The discussed methods provide a robust toolkit for studying biological development.
  • This work enhances the understanding of principles orchestrating organismal emergence from single cells.