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The impact of immunotherapy on a glioma immune interaction model

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  • Khajanchi, Subhas

Abstract

Glioblastoma, a highly aggressive in primary brain tumor and has exceptionally poor prognosis, is refractory to conventional treatments, such as chemotherapy, surgery and radiation. This study aims at aiding in the design of more successful glioma therapy. To understand the dynamics under what circumstances the glioma cells can be eradicated, we propose and analyze a mechanistic model for malignant gliomas and immune system interplays that may ensue upon direct intra-tumoral administration of immunotherapeutic agent T11 target structure. Our mathematical model encompasses considerations of the interactive dynamics of glioma cells, glioma-specific CD8+T cells, macrophages, immuno-suppressive cytokine TGF-β and immuno-stimulatory cytokine IFN-γ. The proposed mathematical model successfully retrieved clinical response to the immunotherapeutic drug T11 target structure for glioma cells. Our model enables us to identify the treatment regimen for a determined time window, in order to obtain an admissible concentration of glioma cell population. To mathematically model the dynamics of malignant gliomas development, before and after administration of immunotherapeutic treatment strategy, we derived the local asymptotic stability for the biologically feasible equilibrium points and the local relative controllability conditions for this coupled system of nonlinear ordinary differential equations. The system undergoes sensitivity analysis to identify the most sensitive parameters with respect to glioma cells. Numerical simulations were conducted for model verification and for retrieving putative treatment scenarios. The model simulations suggest that the immunotherapy has an impact in reducing the growth of glioma cell population and also an impact in enhancing the cell count of macrophages and CD8+T cell populations.

Suggested Citation

  • Khajanchi, Subhas, 2021. "The impact of immunotherapy on a glioma immune interaction model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007001
    DOI: 10.1016/j.chaos.2021.111346
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    References listed on IDEAS

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    1. Khajanchi, Subhas, 2015. "Bifurcation analysis of a delayed mathematical model for tumor growth," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 264-276.
    2. Sardar, Mrinmoy & Biswas, Santosh & Khajanchi, Subhas, 2021. "The impact of distributed time delay in a tumor-immune interaction system," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Khajanchi, Subhas, 2018. "Modeling the dynamics of glioma-immune surveillance," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 108-118.
    4. Khajanchi, Subhas & Ghosh, Dibakar, 2015. "The combined effects of optimal control in cancer remission," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 375-388.
    5. Khajanchi, Subhas, 2017. "Modeling the dynamics of stage-structure predator-prey system with Monod–Haldane type response function," Applied Mathematics and Computation, Elsevier, vol. 302(C), pages 122-143.
    6. L. Berezansky & S. Bunimovich-Mendrazitsky & B. Shklyar, 2015. "Stability and Controllability Issues in Mathematical Modeling of the Intensive Treatment of Leukemia," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 326-341, October.
    7. Khajanchi, Subhas & Nieto, Juan J., 2019. "Mathematical modeling of tumor-immune competitive system, considering the role of time delay," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 180-205.
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    1. Mohammad Izadi & Mahmood Parsamanesh & Waleed Adel, 2022. "Numerical and Stability Investigations of the Waste Plastic Management Model in the Ocean System," Mathematics, MDPI, vol. 10(23), pages 1-26, December.

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