Mathematical model of brain tumour with glia–neuron interactions and chemotherapy treatment. (7th March 2015)

• Record Type: Journal Article
• Authors: Iarosz, Kelly C.; Borges, Fernando S.; Batista, Antonio M.; Baptista, Murilo S.; Siqueira, Regiane A.N.; Viana, Ricardo L.; Lopes, Sergio R.
• Is Part Of: Journal of theoretical biology. Volume 368(2015)
• Page Start: 113
• Page End: 121
• Publication Date: 2015-03-07
• Subjects: Brain -- Glioma -- Chemotherapy; Biology -- Periodicals; Biological Science Disciplines -- Periodicals; Biology -- Periodicals; Biologie -- Périodiques; Theoretische biologie; Biology; Periodicals; 571.05
• DOI: 10.1016/j.jtbi.2015.01.006
• Languages: English
• ISSNs: 0022-5193

Abstract

Abstract: In recent years, it became clear that a better understanding of the interactions among the main elements involved in the cancer network is necessary for the treatment of cancer and the suppression of cancer growth. In this work we propose a system of coupled differential equations that model brain tumour under treatment by chemotherapy, which considers interactions among the glial cells, the glioma, the neurons, and the chemotherapeutic agents. We study the conditions for the glioma growth to be eliminated, and identify values of the parameters for which the inhibition of the glioma growth is obtained with a minimal loss of healthy cells. Abstract : Highlights: We have analysed a mathematical model of brain tumour. We study a system of coupled differential equations. We consider in our model the interactions among glial cells, glioma, neurons, and chemotherapy. Glioma is studied aiming to identify values of the parameter for which the inhibition of the glioma cells is obtained with a minimal loss of healthy cells. We present a model of glioma with glia–neuron interactions.