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Main Authors: Müller, Nicolas Pascal Guido, Vetter, Roman
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.09319
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author Müller, Nicolas Pascal Guido
Vetter, Roman
author_facet Müller, Nicolas Pascal Guido
Vetter, Roman
contents We present PolyMorph, a lightweight standalone C++ program that extends its predecessor PolyHoop by a finite-difference solver for multi-component reaction-advection-diffusion equations. PolyMorph simulates two integral parts of tissue morphogenesis in two dimensions: 1) the mechanics of cellular deformation, growth and proliferation, and 2) transport and reaction of an arbitrary number of chemical species. Both of these components are bidirectionally coupled, allowing cells to base their behavior on local information on concentrations and flow, and allowing the chemical transport and reaction kinetics to depend on spatial information such as the local cell type. This bidirectional feedback makes PolyMorph a versatile tool to study a variety of cellular morphogenetic processes such as chemotaxis, cell sorting, tissue patterning with morphogen gradients, Turing patterning, and diffusion- or supply-limited growth with sub-cellular resolution.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09319
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PolyMorph: Extension of PolyHoop for tissue morphogenesis coupled to chemical signaling
Müller, Nicolas Pascal Guido
Vetter, Roman
Soft Condensed Matter
Biological Physics
We present PolyMorph, a lightweight standalone C++ program that extends its predecessor PolyHoop by a finite-difference solver for multi-component reaction-advection-diffusion equations. PolyMorph simulates two integral parts of tissue morphogenesis in two dimensions: 1) the mechanics of cellular deformation, growth and proliferation, and 2) transport and reaction of an arbitrary number of chemical species. Both of these components are bidirectionally coupled, allowing cells to base their behavior on local information on concentrations and flow, and allowing the chemical transport and reaction kinetics to depend on spatial information such as the local cell type. This bidirectional feedback makes PolyMorph a versatile tool to study a variety of cellular morphogenetic processes such as chemotaxis, cell sorting, tissue patterning with morphogen gradients, Turing patterning, and diffusion- or supply-limited growth with sub-cellular resolution.
title PolyMorph: Extension of PolyHoop for tissue morphogenesis coupled to chemical signaling
topic Soft Condensed Matter
Biological Physics
url https://arxiv.org/abs/2503.09319