Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2509.15889 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915930047512576 |
|---|---|
| author | Ouchdiri, Mohamed Amine Faquir, Hamza Benjelloun, Saad Maghenem, Mohamed Adlene Otero-Muras, Irene Saoud, Adnane |
| author_facet | Ouchdiri, Mohamed Amine Faquir, Hamza Benjelloun, Saad Maghenem, Mohamed Adlene Otero-Muras, Irene Saoud, Adnane |
| contents | Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of optimal control for a class of coupled reaction-diffusion systems. The couplings are justified by the shared regulatory mechanisms encountered in synthetic biology. Furthermore, we introduce inputs and polynomial input-gain functions to guarantee well-posedness of the control system while maintaining biological relevance. As a result, we formulate an optimal control problem and derive necessary optimality conditions. We demonstrate our framework on an instance of such equations modeling the Nodal-Lefty interactions in mammalian cells. Numerical simulations showcase the effectiveness in directing pattern towards diverse targeted ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An optimal-control framework for reaction diffusion systems with application to synthetic developmental biology Ouchdiri, Mohamed Amine Faquir, Hamza Benjelloun, Saad Maghenem, Mohamed Adlene Otero-Muras, Irene Saoud, Adnane Optimization and Control Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of optimal control for a class of coupled reaction-diffusion systems. The couplings are justified by the shared regulatory mechanisms encountered in synthetic biology. Furthermore, we introduce inputs and polynomial input-gain functions to guarantee well-posedness of the control system while maintaining biological relevance. As a result, we formulate an optimal control problem and derive necessary optimality conditions. We demonstrate our framework on an instance of such equations modeling the Nodal-Lefty interactions in mammalian cells. Numerical simulations showcase the effectiveness in directing pattern towards diverse targeted ones. |
| title | An optimal-control framework for reaction diffusion systems with application to synthetic developmental biology |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2509.15889 |