Turing Pattern Formation in Reaction-Cross-Diffusion Systems with a Bilayer Geometry.

ABSTRACT: Conditions for self-organisation via Turing's mechanism in biological systems represented by reaction-diffusion or reaction-cross-diffusion models have been extensively studied. Nonetheless, the impact of tissue stratification in such systems is under-explored, despite its ubiquity in the context of a thin epithelium overlying connective tissue, for instance the epidermis and underlying dermal mesenchyme of embryonic skin. In particular, each layer can be subject to extensively different biochemical reactions and transport processes, with chemotaxis - a special case of cross-diffusion - often present in the mesenchyme, contrasting the solely molecular transport typically found in the epidermal layer. We study Turing patterning conditions for a class of reaction-cross-diffusion systems in b

SUBMITTER: Diez A 

PROVIDER: S-EPMC10764571 | biostudies-literature | 2024 Jan

REPOSITORIES: biostudies-literature