Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 222
Mathematical Modeling Of Cancer Resistance To Treatment
Amira Bouhali, Ghassen Hadded, Slimane Ben Miled, Amira Kebir
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2194
April 15, 2194

Abstract: It is commonly known that cancer often develops drug resistance and tumors grow back from the surviving cells. This “acquired” resistance phenomenon is due to the heterogeneity of a tumor. In this study, a controlled mathematical model with cancer stem cells (CSC) and n types of cancer cells (CC) is established bases on the model given in [1]. The differentiation probabilities to the different n types of CCs that are the n controls of the model. The model is proven to be well posed and the optimal control study of the problem has been carried out in two cases: with and without drug ...