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Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator.
- Source :
- European Physical Journal: Special Topics; Nov2023, Vol. 232 Issue 14/15, p2513-2529, 17p
- Publication Year :
- 2023
-
Abstract
- In this article, we investigate a tumor-immune and antigen-presenting cells population in the form of a mathematical model. To achieve greater accuracy in understanding the spread of tumor and immune cell populations, we apply the Caputo–Fabrizio (CF) fractional-order derivative. The fixed-point theorems are employed to analyze the uniqueness and existence of the model. The Laplace transform along with the Adomian decomposition approach is used to construct an algorithm for a semi-analytical solution under the CF fractional derivative. The chaotic dynamics of the cancer-immune model are confirmed by the Lyapunov exponents. The article examines how different vaccination protocols can affect tumor dormancy and recurrence. Furthermore, we offer a description for why adoptive immunotherapy techniques may potentially increase tumor growth rather than suppress it. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19516355
- Volume :
- 232
- Issue :
- 14/15
- Database :
- Complementary Index
- Journal :
- European Physical Journal: Special Topics
- Publication Type :
- Academic Journal
- Accession number :
- 173765937
- Full Text :
- https://doi.org/10.1140/epjs/s11734-023-00929-y