Two-dimensional modeling of Glioblastoma Multiforme using Metropolis Monte Carlo method
Abstract
Glioblastoma multiforme (GBM) is the most aggressive malignant glial tumor. A two-dimensional model of GBM was developed using Metropolis Monte Carlo algorithm to replicate the idealized Gompertzian curve. Using a two-dimensional model in modeling tumor growth poses various advantages such as efficient machine computing performance. The simulated tumor resembled a circular mass with rough edges. The average total area of the 3 test runs made was 4340 square units after 50,000 iterations. This model demonstrates the growth of a solid tumor as a function of time. Thus, further strengthening the use of Gompertz function in the analysis of tumor growth.
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