A mathematical model for the pre-diagnostic of glioma growth based on blood glucose levels

作者：Ayala-Hernandez L. E.^*; Gallegos Armando; Macias-Diaz J. E.; Miranda-Beltran M. L.; Vargas-Rodriguez H.

来源：Journal of Mathematical Chemistry, 2018, 56(3): 687-699.

DOI：10.1007/s10910-017-0821-1

• Nonlinear system of ordinary differential equations
• Numerical simulations
• Stochastic noise in dynamical systems
• Glucose decay
• Pre-diagnostic of glioma

In this paper, we propose a stochastic model in which the values of the factors involved in the development of a glioma vary randomly in a biologically congruent range. Stability analysis revealed three fixed points which allude to patients with a growing glioma, with an advanced stage glioma and without glioma, respectively. The graphics of the solutions and the diagrams of asymptotic behavior of some of the parameters are presented. We also show the order of influence of them. The results obtained show a decay in serum glucose levels in the presence of a glioma. Moreover, they indicate that the immune system is an important element in the prevention of the growth of gliomata.

• 出版日期2018-3