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math.OC2026
How Much Spatial Control Is Enough? Subdomain Optimal Control of Reaction-Diffusion Systems in Synthetic Developmental Biology
Mohamed Amine Ouchdiri, Hamza Faquir, Saad Benjelloun +1
Reaction--diffusion systems can produce spatial patterns such as stripes and spots by diffusion-driven instability. In synthetic developmental biology, such patterns are engineered…
math.OC2026
Stabilization of the -D and -D Heat Equation via Modal Decomposition
Mohamed Amine Ouchdiri, Mohamed-Camil Belhadjoudja, Mohamed Maghenem +2
Modal decomposition has been used recently to achieve boundary stabilization of linear parabolic equations in the norm, in two and three dimensions. In one dimension, e…
math.OC2025
An optimal-control framework for reaction diffusion systems with application to synthetic developmental biology
Mohamed Amine Ouchdiri, Hamza Faquir, Saad Benjelloun +3
Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challeng…