Stability of pattern formation in systems with dynamic source regions
arXiv:2206.14138 · doi:10.1103/PhysRevLett.130.098402
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.
arXiv commentFinal version, accepted for Physical Review Letters: https://journals.aps.org/prl/accepted/b307fYeeG7f1d48b152574e5e76e468c53a954a62
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