2017/10/08 by Lucas Daniel Wittwer, Michael Peters, Wittwer, Lucas D. +5 · 1 citation
Engineering · #FOS: Biological sciences #Modular Robots and Swarm Intelligence #Quantitative Methods (q-bio.QM)
paper · pdf · doi:10.48550/arxiv.1710.02876
openalex publication_date 2017/10/08 · openalex created_date 2017/10/20 · openalex updated_date 2026/07/28
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.