3 papers
math.AP2026
Stability and bifurcation analysis in a mechanochemical model of pattern formation
Szymon Cygan, Anna Marciniak-Czochra, Finn Münnich +1
We analyze the stability and bifurcation structure of steady states in a mechanochemical model of pattern formation in regenerating tissue spheroids. The model couples morphogen dy…
math.AP2025
Instability mechanisms and far-from-equilibrium patterns in reaction-diffusion-ODE systems with multiple diffusion scales
Théo André, Szymon Cygan, Anna Marciniak-Czochra +1
Systems coupling diffusive and nondiffusive components exhibit mathematical phenomena absent in classical reaction-diffusion equations, arising from the singular nature of the vani…
math.AP2022
Stability Results for Bounded Stationary Solutions of Reaction-Diffusion-ODE Systems
Chris Kowall, Anna Marciniak-Czochra, Finn Münnich
Reaction-diffusion equations coupled to ordinary differential equations (ODEs) may exhibit spatially low-regular stationary solutions. This work provides a comprehensive theory of…