Mathematical modeling of tumor-immune system dynamics subject to dendritic cells immunotherapy: a brief review

https://doi.org/10.58571/CNCA.AMCA.2023.026

Resumen: Currently, there is a promising therapy to treat cancer that uses dendritic cell infusions. Dendritic cells play a crucial role in the initiation, programming, and regulation of the specific immune response, for this reason they are considered the best antigen-presenting cells. The objective of using them in immunotherapy is to induce a specific immune response of T cells towards cancer cells. This article provides a brief review of three mathematical models of the tumor-immune system interaction subject to dendritic cell immunotherapy. It is important to point out that analyzing mathematical models is a crucial stage in the design of control laws for establishing optimal administration protocols for dendritic cell immunotherapy.

¿Cómo citar?

Trejo Allende, Lázaro; Saldivar, Martha Belem; Mondie, Sabine; Contreras Carmona, Itzel. Mathematical modeling of tumor-immune system dynamics subject to dendritic cells immunotherapy: a brief review. Memorias del Congreso Nacional de Control Automático, pp. 44-49, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.026

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Procesos Biológicos; Modelado e Identificación de Sistemas

• Abbas A., K., Lichtman A., H.H., and Pillai, S. (2011). Cellular and Molecular Immunology. Elsevier Saunders. Castiglione, F. and Piccoli, B. (2007). Cancer immunotherapy, mathematical modeling and optimal control. Journal of Theoretical Biology,, 247, 723-732.
• Castillo, E. and Chimal J., C. (2015). Enhancing dendritic cell immunotherapy for melanoma using a simple mathe- matical model. Theoretical Biology and Medical Modelling, 12(11), 1-14.
• Dai, F. and Liu, B. (2022). Optimal control problem for a gen- eral reaction-diffusion tumor-immune interaction system of mixed immunotherapy and chemotherapy. European Journal of Control, 66(100645).
• Monserrat S., J. and Gómez L., A.M. (2017). Introducción al sistema inmune. componentes celulares del sistema inmune innato. Medicine, 12(24), 1369-1378.
• Rangel J, C., Chimal J., C., and Castillo, E. (2017). Dendritic immunotherapy improvement for an optimal control murine model. Computational and Mathematical Methods in Medicine, (5291823), 1-9.
• Rihan F., A., Lakshmanan, S., and Maurer, H. (2019). Optimal control of tumour-immune model with timedelay and immuno-chemoterapy. Applied Mathematics and Compu- tation, 353, 147-165.
• Song, G., Tian, T., and Zhang, X. (2020). A mathematical model of cell-mediated immune response to tumor. Mathematical Biosciences and Engineering, 18(1), 373-385.