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Mathematical Model of Cancer Treatment with Virotherapy and Immune System
Arvind Kumar Sinha1, Ambika Sahu2
1Department of Mathematics, National Institute of Technology Raipur, Raipur, Chhattisgarh, India.
Critical Reviews in Biomedical Engineering
|August 1, 2025
Summary
Virotherapy offers a targeted cancer treatment, sparing healthy cells. Mathematical modeling shows that combining viral therapy with a strong immune response significantly reduces tumor size, offering a promising approach for cancer patients.
Area of Science:
- Oncology
- Immunology
- Mathematical Biology
- Virology
Background:
- Cancer's growing global burden necessitates innovative treatments.
- Traditional therapies like chemotherapy and radiation cause significant side effects.
- Virotherapy presents a targeted approach, selectively eliminating cancer cells.
Purpose of the Study:
- To develop a mathematical model for cancer treatment using viral therapy and the immune system.
- To analyze the stability and equilibrium points of the proposed model.
- To investigate the impact of viral therapy and immune response on tumor size reduction.
Main Methods:
- Development of a mathematical model simulating cancer-immune-virus interactions.
- Analysis of the model's non-negativity and boundedness.
- Determination of five equilibrium points and their local and global stability.
- Numerical simulations to assess treatment efficacy.
Main Results:
- The model demonstrates non-negative and bounded solutions.
- Five distinct equilibrium points were identified and their stability analyzed.
- Increased viral burst size significantly reduced tumor size (0.55 to 0.05).
- Enhanced immune response stimulation also reduced tumor size (0.59 to 0.21).
Conclusions:
- High immune response and viral therapy effectively reduce tumor size.
- Combining virotherapy with a robust immune response is a promising strategy for cancer treatment.
- The model provides insights for oncologists and immunologists on controlling tumor proliferation.
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