2021
DOI: 10.1088/1674-1056/abcf49
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Dynamics analysis in a tumor-immune system with chemotherapy*

Abstract: An ordinary differential equation (ODE) model of tumor growth with the effect of tumor-immune interaction and chemotherapeutic drug is presented and studied. By analyzing the existence and stability of equilibrium points, the dynamic behavior of the system is discussed elaborately. The chaotic dynamics can be obtained in our model by equilibria analysis, which show the existence of chaos by calculating the Lyapunov exponents and the Lyapunov dimension of the system. Moreover, the action of the infusion rate of… Show more

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Cited by 2 publications
(1 citation statement)
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“…Many mathematical models of tumor-immune dynamics have been developed (Eladdadi et al (2014); Sardar et al (2024); Cherraf et al (2023); Song et al (2021); Liu et al (2021); Yin et al (2019); Nikolopoulou et al (2018); Lai and Friedman (2017); de Pillis et al (2005); De Pillis and Radunskaya (2003)), including a few that focus specifically on GBM (Anderson et al (2023); Santurio and Barros (2022); Khajanchi (2021); Storey et al (2020)). Here, we extend the ODE model of Anderson et al (2023), which incorporates tumor cells, T cells, and MDSCs, to include treatment with anti-PD-1 and a CCR2 antagonist and subsequently apply optimal control theory.…”
Section: Introductionmentioning
confidence: 99%
“…Many mathematical models of tumor-immune dynamics have been developed (Eladdadi et al (2014); Sardar et al (2024); Cherraf et al (2023); Song et al (2021); Liu et al (2021); Yin et al (2019); Nikolopoulou et al (2018); Lai and Friedman (2017); de Pillis et al (2005); De Pillis and Radunskaya (2003)), including a few that focus specifically on GBM (Anderson et al (2023); Santurio and Barros (2022); Khajanchi (2021); Storey et al (2020)). Here, we extend the ODE model of Anderson et al (2023), which incorporates tumor cells, T cells, and MDSCs, to include treatment with anti-PD-1 and a CCR2 antagonist and subsequently apply optimal control theory.…”
Section: Introductionmentioning
confidence: 99%