Keywords
Complex systems
Computer modeling
Monte Carlo methods
Systems biology
How to Cite
Abstract
The development of mathematical models to simulate biological processes is essential for understanding the complexity of living systems, allowing for predictions and virtual experiments that would be difficult to carry out under real conditions. In this work, we present a mathematical model to simulate the process of apoptosis or programmed cell death, using the Gillespie algorithm. Additionally, an optimization of this model is proposed, which reduces computation time and enables the model to simulate apoptosis in the cells of a tumor under topical treatment. Results are also presented demonstrating that both models are equivalent. The optimization reduced the execution time of the simulation by two days.
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