AI Article Synopsis
- Researchers are focusing more on mathematical modeling to understand and treat cancer, particularly how tumors respond to various treatments.
- The paper specifically applies a density-dependent reaction-diffusion equation to study Glioblastoma multiforme, which is a highly aggressive brain cancer.
- The model includes key factors like tumor growth and migration, and its accuracy is validated through stability analysis and numerical simulations compared with existing experimental data.
Article Abstract
Mathematical modeling for cancerous disease has attracted increasing attention from the researchers around the world. Being an effective tool, it helps to describe the processes that happen to the tumour as the diverse treatment scenarios. In this paper, a density-dependent reaction-diffusion equation is applied to the most aggressive type of brain cancer, Glioblastoma multiforme. The model contains the terms responsible for the growth, migration and proliferation of the malignant tumour. The traveling wave solution used is justified by stability analysis. Numerical simulation of the model is provided and the results are compared with the experimental data obtained from the reference papers.
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| http://dx.doi.org/10.3934/mbe.2020371 | DOI Listing |
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