Tumor growth model with chemotaxis and active transport: Control and parameters recovery
<p>In this paper, we formulate and analyze an optimal control problem for a system of Cahn–Hilliard equations modeling tumor growth, accounting for chemotaxis and active transport. The dynamical system was introduced in Hawkins-Daarud et al. (2012), and mathematical results of existence and un...
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2025
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| _version_ | 1864513533190864896 |
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| author | Mostafa Kadiri (19569316) |
| author2 | Mohammed Louaked (22565048) Saber Trabelsi (19569319) |
| author2_role | author author |
| author_facet | Mostafa Kadiri (19569316) Mohammed Louaked (22565048) Saber Trabelsi (19569319) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mostafa Kadiri (19569316) Mohammed Louaked (22565048) Saber Trabelsi (19569319) |
| dc.date.none.fl_str_mv | 2025-05-30T15:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.cam.2025.116769 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Tumor_growth_model_with_chemotaxis_and_active_transport_Control_and_parameters_recovery/30540914 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Numerical and computational mathematics Diffuse interface Tumor growth Cahn–Hilliard equations Chemotaxis Active transport Cell movement Reaction diffusion equations Optimal control Optimality condition |
| dc.title.none.fl_str_mv | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>In this paper, we formulate and analyze an optimal control problem for a system of Cahn–Hilliard equations modeling tumor growth, accounting for chemotaxis and active transport. The dynamical system was introduced in Hawkins-Daarud et al. (2012), and mathematical results of existence and uniqueness of weak solutions were obtained in Garcke and Yayla (2020). In this contribution, we prove the continuous dependence of the solutions on the physical parameters in addition to the initial data. In addition, we introduce an optimal control problem where the cost functional depends on a target function, but most importantly, on physical parameters targets. We establish the existence of a unique minimizer and provide optimality conditions. Eventually, we present simple numerical illustrations in full agreement with our theoretical results.</p><h2>Other Information</h2> <p> Published in: Journal of Computational and Applied Mathematics<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.cam.2025.116769" target="_blank">https://dx.doi.org/10.1016/j.cam.2025.116769</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_fca0a3cc8b154f861d9ecf7737a8a342 |
| identifier_str_mv | 10.1016/j.cam.2025.116769 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/30540914 |
| publishDate | 2025 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Tumor growth model with chemotaxis and active transport: Control and parameters recoveryMostafa Kadiri (19569316)Mohammed Louaked (22565048)Saber Trabelsi (19569319)Mathematical sciencesApplied mathematicsNumerical and computational mathematicsDiffuse interfaceTumor growthCahn–Hilliard equationsChemotaxisActive transportCell movementReaction diffusion equationsOptimal controlOptimality condition<p>In this paper, we formulate and analyze an optimal control problem for a system of Cahn–Hilliard equations modeling tumor growth, accounting for chemotaxis and active transport. The dynamical system was introduced in Hawkins-Daarud et al. (2012), and mathematical results of existence and uniqueness of weak solutions were obtained in Garcke and Yayla (2020). In this contribution, we prove the continuous dependence of the solutions on the physical parameters in addition to the initial data. In addition, we introduce an optimal control problem where the cost functional depends on a target function, but most importantly, on physical parameters targets. We establish the existence of a unique minimizer and provide optimality conditions. Eventually, we present simple numerical illustrations in full agreement with our theoretical results.</p><h2>Other Information</h2> <p> Published in: Journal of Computational and Applied Mathematics<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.cam.2025.116769" target="_blank">https://dx.doi.org/10.1016/j.cam.2025.116769</a></p>2025-05-30T15:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.cam.2025.116769https://figshare.com/articles/journal_contribution/Tumor_growth_model_with_chemotaxis_and_active_transport_Control_and_parameters_recovery/30540914CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/305409142025-05-30T15:00:00Z |
| spellingShingle | Tumor growth model with chemotaxis and active transport: Control and parameters recovery Mostafa Kadiri (19569316) Mathematical sciences Applied mathematics Numerical and computational mathematics Diffuse interface Tumor growth Cahn–Hilliard equations Chemotaxis Active transport Cell movement Reaction diffusion equations Optimal control Optimality condition |
| status_str | publishedVersion |
| title | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| title_full | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| title_fullStr | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| title_full_unstemmed | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| title_short | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| title_sort | Tumor growth model with chemotaxis and active transport: Control and parameters recovery |
| topic | Mathematical sciences Applied mathematics Numerical and computational mathematics Diffuse interface Tumor growth Cahn–Hilliard equations Chemotaxis Active transport Cell movement Reaction diffusion equations Optimal control Optimality condition |