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  • Stability of Pattern Format...
    Majka, M; Ho, R D J G; Zagorski, M

    Physical review letters, 03/2023, Letnik: 130, Številka: 9
    Journal Article

    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 a 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.