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ZENODO
Article . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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Computational Modeling of Prostate Cancer Growth with Tumor– Immune Interactions and Treatment Optimization Using Euler's Method

Authors: Abraham Osogo Nyakebogo; Omariba Geofrey Ong'era;

Computational Modeling of Prostate Cancer Growth with Tumor– Immune Interactions and Treatment Optimization Using Euler's Method

Abstract

Abstract Prostate cancer remains one of the leading causes of cancer-related mortality worldwide, necessitating improved mathematical tools for understanding tumor progression and optimizing treatment strategies. This study presents a computational model for prostate cancer growth incorporating tumor–immune interactions and treatment optimization using Euler’s method implemented in MATLAB. The model is formulated as a system of coupled ordinary differential equations describing the dynamic interactions between tumor cells, immune cells, and therapeutic agents. Tumor proliferation, immune-mediated suppression, and treatment-induced reduction in cancer cell population are incorporated into the model together with an optimal treatment control parameter. Euler’s numerical method is applied in MATLAB to obtain approximate solutions of the governing equations and simulate the temporal evolution of tumor dynamics under varying treatment conditions. The results are presented using tables and graphical methods, including plots of tumor cell population, immune response, and treatment effects against time to illustrate the behavior of the system. Numerical simulations are used to investigate the influence of treatment intensity, immune response strength, and model parameters on prostate cancer progression. The results demonstrate that optimized treatment strategies combined with strong immune response can significantly reduce tumor growth and improve treatment outcomes. The proposed computational framework provides a useful tool for analyzing prostate cancer dynamics and offers potential applications in treatment planning, prediction, and therapeutic decision-making.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
Related to Research communities
Cancer Research