The tumor growth computational simulation is a fundamental step for the cancer management future, especially in this work the glioblastoma is modeled by a reaction-diffusion system. It is shown that the following mathematical models can simulate tumor behavior, analyzing the control parameters of the model that could help to avoid the tumor aiming to increase the percentage of survivors of this ailment.
Cancer, Computational simulation, Glioblastoma, Tumor growth
1. American Cancer Society. Tasas de supervivencia de ciertos tumores de encéfalo y tumores de médula espinal en adultos. Recuperado de, 2020
2. De la Garza-Salazar F., Lankenau-Vela D., Cadena-Nunez B., Gonzalez-Cantu A., Romero-Ibarguengoitia M.E. The effect of functional and intra-coronary imaging techniques on fluoroscopy time, radiation dose and contrast volume during coronary angiography. Scientific reports, 2020, vol. 10, no. 1, pp. 1-8.
3. Deisboeck T.S., Zhang L., Yoon J., Costa J. In silico cancer modeling: is it ready for prime time? Nature Clinical Practice Oncology, 2009, vol. 6, no. 1, pp. 34-42.
4. Del Moral-Chavarrias L. (s/f) Simulación numérica del crecimiento tumoral (trabajo de frado de Matematicas) Universidad de Zaragoza.
5. Hanahan D., Weinberg R.A. Hallmarks of cancer: the next generation. Cell, 2011, vol. 144, no. 5, pp. 646-674.
6. Ortiz-Pla J. Desarrollo e implementación de un modelo matemático multiescala de crecimiento de glioblastoma y radioterapia, inicializado a partir de imágenes de resonancia magnética (tesis de ingeniería biomédica). Universitat Politecnica de Valencia, 2017.
7. Saldana-Ulloa D. Modelo de tratamiento para tumores en presencia de radiación (tesis de maestría). Benemérita Universidad Autónoma de Puebla, 2017.
8. Shrestha S.M.B., Joldes G., Wittek A., Miller K. Modeling Three-Dimensional Avascular Tumor Growth Using Lattice Gas Cellular Automata. In Computational Biomechanics for Medicine. Springer, New York, NY, 2014, pp. 15-26. doihttps://doi.org/10.1007/978-1-4939-0745-8_2
9. Tan A. Management of glioblastoma: State of the art and future directions. MBBS, 2020, doi:https://doi.org/10.3322/caac.21613
