| Issue |
Math. Model. Nat. Phenom.
Volume 21, 2026
|
|
|---|---|---|
| Article Number | 5 | |
| Number of page(s) | 22 | |
| Section | Mathematical physiology and medicine | |
| DOI | https://doi.org/10.1051/mmnp/2023038 | |
| Published online | 17 March 2026 | |
Combined hormone and brachy therapies for the treatment of prostate cancer
1
Mohammadia School of Engineering, Mohammed V University in Rabat, LERMA, Avenue Ibn Sina BP 765, Agdal Rabat 10090, Morocco
2
University of Côte d’Azur, Inria, LJAD, Parc Valrose 06108 Nice, France
3
Polytechnic Mohammed VI University, Benguerir, Morocco
4
Faculty of Medicine, Mohammed VI University of Sciences and Health, Casablanca, Morocco
5
Cancer Biology and Immunology, Mohammed VI Center for Research and Innovation, Rabat, Morocco
6
Faculty of Medicine and Pharmacy of Rabat, Mohammed V University in Rabat, Morocco
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
2
August
2022
Accepted:
8
November
2023
Abstract
Prostate cancer is a hormone-dependent cancer characterized by two types of cancer cells, androgen-dependent cancer cells and androgen-resistant ones. The objective of this paper is to present a novel mathematical model for the treatment of prostate cancer under combined hormone therapy and brachytherapy. Using a system of partial differential equations, we quantify and study the evolution of the different cell densities involved in prostate cancer and their responses to the two treatments. Numerical simulations of tumor growth under different therapeutic strategies are explored and presented. The numerical simulations are carried out on FreeFem++ using a 2D finite element method.
Mathematics Subject Classification: 35Q92 / 35Q80 / 92C50 / 74F10
Key words: Tumor growth / PDE model / numerical simulations / androgen deprivation therapy / brachytherap / combined treatment
© The authors. Published by EDP Sciences, 2026
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