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Simulation of Morphogen and Tissue Dynamics.

  • Multerer MD Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland.
  • Wittwer LD Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland.
  • Stopka A Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland.
  • Barac D Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland.
  • Lang C Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland.
  • Iber D Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland. dagmar.iber@bsse.ethz.ch.
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  • 2018-10-17
Published in:
  • Methods in molecular biology (Clifton, N.J.). - 2018
In silico morphogenesis
Morphogen dynamics
Tissue dynamics
Tissue mechanics
Algorithms
Animals
Cell Proliferation
Computer Simulation
Embryonic Development
Finite Element Analysis
Intercellular Signaling Peptides and Proteins
Models, Biological
Morphogenesis
Signal Transduction
English 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.
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  • English
Open access status
green
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https://sonar.ch/global/documents/278127
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