Simulating Organogenesis in COMSOL: Comparison Of Methods For Simulating Branching Morphogenesis
Abstract
During organogenesis tissue grows and deforms. The growth processes are controlled by diffusible proteins, so-called morphogens. Many different patterning mechanisms have been proposed. The stereotypic branching program during lung development can be recapitulated by a receptor-ligand based Turing model. Our group has previously used the Arbitrary Lagrangian-Eulerian (ALE) framework for solving the receptor-ligand Turing model on growing lung domains. However, complex mesh deformations which occur during lung growth severely limit the number of branch generations that can be simulated. A new Phase-Field implementation avoids mesh deformations by considering the surface of the modelling domains as interfaces between phases, and by coupling the reaction-diffusion framework to these surfaces. In this paper, we present a rigorous comparison between the Phase-Field approach and the ALE-based simulation.
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Cite
@article{arxiv.1710.02876,
title = {Simulating Organogenesis in COMSOL: Comparison Of Methods For Simulating Branching Morphogenesis},
author = {Lucas D. Wittwer and Michael Peters and Sebastian Aland and Dagmar Iber},
journal= {arXiv preprint arXiv:1710.02876},
year = {2017}
}