On a data-driven mathematical model for prostate cancer bone metastasis
Bektemessov Z. Cherfils L. Allery C. Berger J. Serafini E. Dondossola E. Casarin S.
2024American Institute of Mathematical Sciences
AIMS Mathematics
2024#9Issue 1234785 - 34805 pp.
Prostate cancer bone metastasis poses significant health challenges, affecting countless individuals. While treatment with the radioactive isotope radium-223 (223Ra) has shown promising results, there remains room for therapy optimization. In vivo studies are crucial for optimizing radium therapy; however, they face several roadblocks that limit their effectiveness. By integrating in vivo studies with in silico models, these obstacles can be potentially overcome. Existing computational models of tumor response to 223Ra are often computationally intensive. Accordingly, we here present a versatile and computationally efficient alternative solution. We developed a PDE mathematical model to simulate the effects of 223Ra on prostate cancer bone metastasis, analyzing mitosis and apoptosis rates based on experimental data from both control and treated groups. To build a robust and validated model, our research explored three therapeutic scenarios: No treatment, constant Ra exposure, and decay-accounting therapy, with tumor growth simulations for each case. Our findings align well with experimental evidence, demonstrating that our model effectively captures the therapeutic potential of 223Ra, yielding promising results that support our model as a powerful infrastructure to optimize bone metastasis treatment.
Bone metastasis , In vivo-in silico modeling , Inverse problems , Parameter estimation , PDE model , Prostate cancer , Simulation , Tumor growth
Text of the article Перейти на текст статьи
Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Al-Farabi Ave. 71, Almaty, 050060, Kazakhstan
Laboratoire des Sciences de l’lngenieur pour l’Environnement, UMR CNRS 7356, La Rochelle Universite, La Rochelle Cedex 1, F-17042, France
Center for Precision Surgery, Houston Methodist Research Institute, Houston, TX, United States
David H. Koch Center for Applied Research of Genitourinary Cancers, University of Texas MD Anderson Cancer Center, Houston, TX, United States
Department of Surgery, Houston Methodist Hospital, Houston, TX, United States
Department of Mathematical and Computer Modeling
Laboratoire des Sciences de l’lngenieur pour l’Environnement
Center for Precision Surgery
David H. Koch Center for Applied Research of Genitourinary Cancers
Department of Surgery
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026