Stability of pattern formation in systems with dynamic source regions
Biological Physics
2023-03-02 v4 Statistical Mechanics
Pattern Formation and Solitons
Abstract
We explain the principles of gene expression pattern stabilization in systems of interacting, diffusible morphogens, with dynamically established source regions. Using a reaction-diffusion model with step-function production term, we identify the phase transition between low-precision indeterminate patterning and the phase in which a traveling, well-defined contact zone between two domains is formed. Our model analytically explains single- and two-gene domain dynamics and provides pattern stability conditions for all possible two-gene regulatory network motifs.
Cite
@article{arxiv.2206.14138,
title = {Stability of pattern formation in systems with dynamic source regions},
author = {M. Majka and R. D. J. G. Ho and M. Zagorski},
journal= {arXiv preprint arXiv:2206.14138},
year = {2023}
}
Comments
Final version, accepted for Physical Review Letters: https://journals.aps.org/prl/accepted/b307fYeeG7f1d48b152574e5e76e468c53a954a62