Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

• Published in: Bulletin of mathematical biology Vol. 86; no. 1; p. 4
• Main Authors: Fraga Delfino Kunz, Camile, Gerisch, Alf, Glover, James, Headon, Denis, Painter, Kevin John, Matthäus, Franziska
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.01.2024; Springer Nature B.V
• Subjects: Cell Biology; Chemotaxis; Coupling; Diffusion; Dynamic stability; Life Sciences; Mathematical and Computational Biology; Mathematical Concepts; Mathematical models; Mathematics; Mathematics and Statistics; Models, Biological; Models, Theoretical; Morphogenesis; Numerical analysis; Original; Original Article; Parameters; Pattern analysis; Pattern formation; Patterning; Regularity; Robustness (mathematics); Stability analysis; Morphogenesis; Biological development; Chemotaxis; Reaction–diffusion

Recent experimental studies on primary hair follicle formation and feather bud morphogenesis indicate a coupling between Turing-type diffusion driven instability and chemotactic patterning. Inspired by these findings we develop and analyse a mathematical model that couples chemotaxis to a reaction–d...