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

Kelly C. Iarosz; Fernando S. Borges; Antonio M. Batista; M. S.  Baptista; Regiane A. N. Siqueira; Ricardo L. Viana; Sergio R. Lopes; M. S.  Baptista

doi:10.1016/j.jtbi.2015.01.006

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 journal › Article › peer-review

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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 language	English
Pages (from-to)	113-121
Number of pages	9
Journal	Journal of Theoretical Biology
Volume	368
Early online date	14 Jan 2015
DOIs	https://doi.org/10.1016/j.jtbi.2015.01.006
Publication status	Published - 7 Mar 2015

Bibliographical note

Acknowledgements
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.

Funding

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

Keywords

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

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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JTB-IaroszSubmitted manuscript, 308 KBLicence: Unspecified

Cite this

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title = "Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment",

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.",

keywords = "brain, glioma, chemotherapy, low-grade glioma, malignant glioma, nervous-system, cell-death, in-vitro, temozolomide, growth, cancer, gliobastoma, radiotherapy",

author = "Iarosz, {Kelly C.} and Borges, {Fernando S.} and Batista, {Antonio M.} and Baptista, {M. S.} and Siqueira, {Regiane A. N.} and Viana, {Ricardo L.} and Lopes, {Sergio R.} and Baptista, {M. S.}",

note = "Acknowledgements This study was possible by partial financial support from the following Brazilian government agencies: Funda{\c c}{\~a}o Arauc{\'a}ria, EPSRC-EP/I032606/1 and CNPq, CAPES and Science Without Borders Program Process nos. 17656125, 99999.010583/2013-00 and 245377/2012-3.",

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doi = "10.1016/j.jtbi.2015.01.006",

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T1 - Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment

AU - Iarosz, Kelly C.

AU - Borges, Fernando S.

AU - Batista, Antonio M.

AU - Baptista, M. S.

AU - Siqueira, Regiane A. N.

AU - Viana, Ricardo L.

AU - Lopes, Sergio R.

AU - Baptista, M. S.

N1 - Acknowledgements 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.

PY - 2015/3/7

Y1 - 2015/3/7

N2 - 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.

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.

KW - brain

KW - glioma

KW - chemotherapy

KW - low-grade glioma

KW - malignant glioma

KW - nervous-system

KW - cell-death

KW - in-vitro

KW - temozolomide

KW - growth

KW - cancer

KW - gliobastoma

KW - radiotherapy

U2 - 10.1016/j.jtbi.2015.01.006

DO - 10.1016/j.jtbi.2015.01.006

M3 - Article

SN - 0022-5193

VL - 368

SP - 113

EP - 121

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

ER -

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

Abstract

Bibliographical note

Funding

Keywords

UN SDGs

Access to Document

Fingerprint

Cite this