Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment

Kelly C. Iarosz* (Corresponding Author), Fernando S. Borges, Antonio M. Batista, M. S. Baptista, Regiane A. N. Siqueira, Ricardo L. Viana, Sergio R. Lopes, M. S. Baptista

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)
12 Downloads (Pure)


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. (C) 2015 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)113-121
Number of pages9
JournalJournal of Theoretical Biology
Early online date14 Jan 2015
Publication statusPublished - 7 Mar 2015

Bibliographical note

This study was possible by partial financial support from the following Brazilian government agencies: Fundação Araucária, EPSRC-EP/I032606/1 and CNPq, CAPES and Science Without Borders Program Process nos. 17656125, 99999.010583/2013-00 and 245377/2012-3.


  • brain
  • glioma
  • chemotherapy
  • low-grade glioma
  • malignant glioma
  • nervous-system
  • cell-death
  • in-vitro
  • temozolomide
  • growth
  • cancer
  • gliobastoma
  • radiotherapy


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