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Mathematical and numerical analysis of low-grade gliomas model and the effects of chemotherapy

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dc.abstract.enGliomas are the most frequent type of primary brain tumour. Low-grade gliomas (LGGs) in particular are infiltrative and incurable with a slow evolution that eventually causes death. In this paper, we propose a mathematical model for the growth of LGGs and its response to chemotherapy. We validate our model with medical data and show that the proposed model describes real patients’ data quite well. A mathematical analysis of the model shows the existence of a unique non-negative solution. We further investigate the stability of steady-state solutions. In particular, we demonstrate the global stability of a tumour-free equilibrium in the case of sufficiently strong constant and asymptotically periodic treatment. A sensitivity analysis of the model indicates that the proliferation rate has the biggest impact on solutions of the model. We also numerically investigate the stability of the fitting procedure.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBodnar, Marek
dc.contributor.authorPérez, María Vela
dc.date.accessioned2024-01-25T05:34:19Z
dc.date.available2024-01-25T05:34:19Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.volume72
dc.identifier.doi10.1016/J.CNSNS.2019.01.015
dc.identifier.issn1007-5704
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/111928
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.pages552--564
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enLow-grade gliomas Mathematical model of tumour response Radiotherapy
dc.titleMathematical and numerical analysis of low-grade gliomas model and the effects of chemotherapy
dc.typeJournalArticle
dspace.entity.typePublication