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Updated: Apr 16, 2026
Paramyxoviruses for Tumor-targeted Immunomodulation: Design and Evaluation Ex Vivo
Published on: January 7, 2019
Analysis of a mathematical model for tumor therapy with a fusogenic oncolytic virus
Karly Jacobsen1, Sergei S Pilyugin1
1Department of Mathematics, University of Florida, Gainesville, FL 32611, USA.
Abstract:
Oncolytic virotherapy is a tumor treatment which uses viruses to selectively target and destroy cancer cells. Fusogenic viruses, capable of causing cell-to-cell fusion upon infection of a tumor cell, have shown promise in experimental studies. Fusion causes the formation of large, multinucleated syncytia which eventually leads to cell death. We formulate a partial differential equations model with a moving boundary to describe the treatment of a spherical tumor with a fusogenic oncolytic virus. Fusion, lysis, and budding are incorporated as mechanisms of viral spread, resulting in nonlocal integral terms. A proof is presented for existence and uniqueness of global solutions to the nonlinear hyperbolic-parabolic system. Numerical simulations demonstrate convergence to spatially homogeneous solutions and exponential growth or decay of the tumor radius depending on viral burst size and rate of fusion. Long-term tumor radius is shown to decrease with increasing values of viral burst size while the effect of the rate of fusion on tumor growth is demonstrated to be nonmonotonic.
Insights
Fusogenic oncolytic viruses show promise for cancer treatment by causing cell fusion and death. Mathematical modeling reveals viral burst size and fusion rate impact tumor size, offering insights into virotherapy effectiveness.
Area of Science:
- Oncology
- Virology
- Mathematical Biology
- Computational Science
Background:
- Oncolytic virotherapy utilizes viruses to selectively destroy cancer cells.
- Fusogenic viruses promote cell-to-cell fusion, forming multinucleated syncytia that lead to tumor cell death.
Purpose of the Study:
- To develop a mathematical model describing the treatment of spherical tumors with fusogenic oncolytic viruses.
- To analyze the impact of viral spread mechanisms (fusion, lysis, budding) on tumor dynamics.
Main Methods:
- Formulation of a partial differential equations model with a moving boundary.
- Incorporation of nonlocal integral terms for viral spread mechanisms.
- Mathematical proof for existence and uniqueness of global solutions.
- Numerical simulations to analyze tumor radius evolution.
Main Results:
- Demonstrated convergence to spatially homogeneous solutions.
- Observed exponential growth or decay of tumor radius based on viral burst size and fusion rate.
- Showed that increased viral burst size reduces long-term tumor radius.
- Identified a nonmonotonic effect of fusion rate on tumor growth.
Conclusions:
- Mathematical modeling provides a framework for understanding fusogenic oncolytic virotherapy.
- Viral burst size and fusion rate are critical parameters influencing treatment efficacy.
- Further research can optimize virotherapy strategies based on these findings.
