Project
Dirichlet reaction-diffusion model of myocardial remodeling
An anisotropic multicomponent tissue model that combines reaction-diffusion dynamics with uncertainty-aware Dirichlet concentration parameters.
This project develops a reaction-diffusion model for post-infarction myocardial remodeling in which the state variables encode both tissue composition and uncertainty.
The analytical core is global existence, invariant-region control, and strengthened regularity under additional assumptions on the fiber field and initial data. On the computational side, the project studies barrier effects, transition zones, and interpretable space-time scenarios.
Research areas
Anisotropic reaction-diffusion models
Participants
Evgeny Yuryevich Shchetinin
Andrey Andreyevich Shevchuk
Related publications
Global Existence, Invariant Region, and Enhanced Regularity for an Anisotropic Reaction-Diffusion Model of Myocardial Remodeling in Terms of Dirichlet Concentration Parameters