Sensitivity parameter for a discrete-time logistic melanoma cell growth under virotherapy

Viska Noviantri, Felicia Aurelia Suwandi

Abstract


Melanoma is a rare type of skin cancer but the most serious compared to other types of skin cancer. The study of melanoma growth is interesting to analyze so that related parties can determine how quickly this cancer spreads and determine the proper and efficient treatment method. This paper uses the mathematical modeling of tumor growth to describe melanoma growth in the presence of virotherapy. The model shows the interaction between melanoma and uninfected tumor cells, completed by a Logistic law as a classical fraction for population growth to represent the natural melanoma growth function. Then, this model is discretized by the Non-Standard Finite Difference Method, then solved numerically, and completed by the 4th Runge Kutta method for validation. Moreover, this study gave a sensitivity analysis of several parameters to see how much melanoma growth changes over these parameters. Finally, it can be shown that the melanoma cell growth rate and virotherapy rate have the most significant effect on the number of melanoma cells.

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Published: 2025-02-25

How to Cite this Article:

Viska Noviantri, Felicia Aurelia Suwandi, Sensitivity parameter for a discrete-time logistic melanoma cell growth under virotherapy, Commun. Math. Biol. Neurosci., 2025 (2025), Article ID 27

Copyright © 2025 Viska Noviantri, Felicia Aurelia Suwandi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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