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

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

*Corresponding author for this work

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

Original languageEnglish
Pages (from-to)113-121
Number of pages9
JournalJournal of Theoretical Biology
Volume368
Early online date14 Jan 2015
DOIs
Publication statusPublished - 7 Mar 2015

Keywords

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

Cite this

Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment. / Iarosz, Kelly C. (Corresponding Author); Borges, Fernando S.; Batista, Antonio M.; Baptista, Murilo S.; Siqueira, Regiane A. N.; Viana, Ricardo L.; Lopes, Sergio R.; Baptista, Murilo Da Silva.

In: Journal of Theoretical Biology, Vol. 368, 07.03.2015, p. 113-121.

Research output: Contribution to journalArticle

Iarosz, KC, Borges, FS, Batista, AM, Baptista, MS, Siqueira, RAN, Viana, RL, Lopes, SR & Baptista, MDS 2015, 'Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment', Journal of Theoretical Biology, vol. 368, pp. 113-121. https://doi.org/10.1016/j.jtbi.2015.01.006
Iarosz, Kelly C. ; Borges, Fernando S. ; Batista, Antonio M. ; Baptista, Murilo S. ; Siqueira, Regiane A. N. ; Viana, Ricardo L. ; Lopes, Sergio R. ; Baptista, Murilo Da Silva. / Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment. In: Journal of Theoretical Biology. 2015 ; Vol. 368. pp. 113-121.
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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. (C) 2015 Elsevier Ltd. All rights reserved.",
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AB - 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.

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KW - nervous-system

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