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arXiv · 2012.08252

Mathematical model of brain tumour growth with drug resistance

José Trobia·Kun Tian·Antonio Marcos Batista·Celso Grebogi·Hai-Peng Ren·Moises Souza Santos·Paulo Ricardo Protachevicz·Fernando da Silva Borges·José Danilo Szezech Jr·Ricardo Luiz Viana·Iberê Luiz Caldas·Kelly Cristiane Iarosz
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Abstract

Brain tumours are masses of abnormal cells that can grow in an uncontrolled way in the brain. There are different types of malignant brain tumours. Gliomas are malignant brain tumours that grow from glial cells and are identified as astrocytoma, oligodendroglioma, and ependymoma. We study a mathematical model that describes glia-neuron interaction, glioma, and chemotherapeutic agent. In this work, we consider drug sensitive and resistant glioma cells. We show that continuous and pulsed chemotherapy can kill glioma cells with a minimal loss of neurons.

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José Trobia, Kun Tian, Antonio Marcos Batista, Celso Grebogi, Hai-Peng Ren, Moises Souza Santos, Paulo Ricardo Protachevicz, Fernando da Silva Borges, José Danilo Szezech Jr, Ricardo Luiz Viana, Iberê Luiz Caldas, Kelly Cristiane Iarosz. 2020-12-15. Mathematical model of brain tumour growth with drug resistance. https://doi.org/10.1016/j.cnsns.2021.106013

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