Competitive tumor growth modeling and optimal radiotherapy control via logistic equations
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908865587576832 |
|---|---|
| author | López-Pedrares, Javier López-Rivas, Alba Romero-Lorenzo, Raquel Guiu-Souto, Jacobo Muñuzuri, Alberto P. |
| author_facet | López-Pedrares, Javier López-Rivas, Alba Romero-Lorenzo, Raquel Guiu-Souto, Jacobo Muñuzuri, Alberto P. |
| contents | The uncontrolled proliferation of cancer cells and their interaction with healthy tissue poses a major challenge in oncology. This manuscript develops and analyzes mathematical models that describe tumor response to radiotherapy by incorporating the Linear Quadratic model for cell survival. To improve therapeutic efficiency, the theory of optimal control is introduced on a system of coupled differential equations, allowing for the comparison of constant versus optimized radiation strategies. The analytical study of these models provides insights into the expected dynamics under different treatment scenarios, while numerical simulations validate the theoretical results and highlight the benefits of optimal control in reducing tumor burden with minimized collateral damage. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03901 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Competitive tumor growth modeling and optimal radiotherapy control via logistic equations López-Pedrares, Javier López-Rivas, Alba Romero-Lorenzo, Raquel Guiu-Souto, Jacobo Muñuzuri, Alberto P. Dynamical Systems The uncontrolled proliferation of cancer cells and their interaction with healthy tissue poses a major challenge in oncology. This manuscript develops and analyzes mathematical models that describe tumor response to radiotherapy by incorporating the Linear Quadratic model for cell survival. To improve therapeutic efficiency, the theory of optimal control is introduced on a system of coupled differential equations, allowing for the comparison of constant versus optimized radiation strategies. The analytical study of these models provides insights into the expected dynamics under different treatment scenarios, while numerical simulations validate the theoretical results and highlight the benefits of optimal control in reducing tumor burden with minimized collateral damage. |
| title | Competitive tumor growth modeling and optimal radiotherapy control via logistic equations |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.03901 |