Reaction-Diffusion Group
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Projects and research tracks

Project pages connect analytical context, participants, related papers, and supporting materials.

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AllAnisotropic reaction-diffusion modelsCross-diffusion, entropy, and Markov kineticsDirichlet uncertainty models for imagingScale-consistent variational regularization
Active2026-present

Dirichlet reaction-diffusion model of myocardial remodeling

An anisotropic multicomponent tissue model that combines reaction-diffusion dynamics with uncertainty-aware Dirichlet concentration parameters.

Active2025-present

Dirichlet-field segmentation with uncertainty estimation

Variational and neural segmentation methods that combine Dirichlet uncertainty fields with anisotropic spatial regularization.

Active2026-present

Entropy analysis of cross-diffusion systems with Markov kinetics

Entropy-based solvability, dissipation, and numerical analysis for coupled diffusion-reaction systems beyond the classical maximum-principle regime.

Ongoing2026.0

Scale-consistent edge-aware regularization

Analysis of discrete weighted energies under mesh refinement and design of resolution-robust anisotropic regularizers.