Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy

Chayu Yang and Jin Wang ()
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Chayu Yang: Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA
Jin Wang: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

Mathematics, 2023, vol. 11, issue 2, 1-20

Abstract: We present a mathematical model based on ordinary differential equations to investigate the spatially homogeneous state of tumor growth under virotherapy. The model emphasizes the interaction among the tumor cells, the oncolytic viruses, and the host immune system that generates both innate and adaptive immune responses. We conduct a rigorous equilibrium analysis and derive threshold conditions that determine the growth or decay of the tumor under various scenarios. Numerical simulation results verify our analytical predictions and provide additional insight into the tumor growth dynamics.

Keywords: mathematical oncology; tumor growth; equilibrium points; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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