Mathematical model of brain tumour growth with drug resistance

Author(s):Show less -

Trobia, Jose ^[1] ; Tian, Kun ^[2] ; Batista, Antonio M. ^{[1, 3]} ; Grebogi, Celso ^{[4, 2]} ; Ren, Hai-Peng ^{[2, 5]} ; Santos, Moises S. ^[6] ; Protachevicz, Paulo R. ^[7] ; Borges, Fernando S. ^[8] ; Szezech, Jr., Jose D. ^{[1, 3]} ; Viana, Ricardo L. ^[9] ; Caldas, Ibere L. ^[7] ; Iarosz, Kelly C. ^{[6, 10]}

Affiliation

^[1] Univ Estadual Ponta Grossa, Dept Math & Stat, BR-84030900 Ponta Grossa, Parana - Brazil

^[2] Xian Univ Technol, Shaanxi Key Lab Complex Syst Control & Intelligen, Xian 710048, Shaanxi - Peoples R China

^[3] Univ Estadual Ponta Grossa, Grad Sci Program Phys, BR-84030900 Ponta Grossa, Parana - Brazil

^[4] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE - Scotland

^[5] Xian Technol Univ, Xian 710021, Shaanxi - Peoples R China

^[6] Fac Telemaco Borba, FATEB, BR-84266010 Telemaco Borba, PR - Brazil

^[7] Univ Sao Paulo, Inst Phys, BR-05508900 Sao Paulo - Brazil

^[8] Fed Univ ABC, Ctr Math Computat & Cognit, BR-09606045 Sao Bernardo Do Campo, SP - Brazil

^[9] Univ Fed Parana, Dept Phys, BR-80060000 Curitiba, Parana - Brazil

^[10] Fed Technol Univ Paran, Grad Program Chem Engn, BR-84017220 Ponta Grossa, Parana - Brazil

• Document type: Journal article
• Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 103, DEC 2021.
• Web of Science Citations: 0

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 how continuous and pulsed chemotherapy can kill glioma cells with a minimal loss of neurons. (c) 2021 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 18/03211-6 - Non linear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 20/04624-2 - Synaptic plasticity in neuronal networks
• Grantee: Paulo Ricardo Protachevicz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 17/18977-1 - Analysis of Electrical Synapses Contribution in Neuronal Synchronization
• Grantee: Fernando da Silva Borges
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 15/07311-7 - Dynamic behaviour of neural networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral