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Mathematical Analysis of a Generalised Model of Chemotherapy for Low Grade Gliomas

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cris.lastimport.scopus2024-02-12T20:45:44Z
dc.abstract.enWe study mathematical properties of a model describing growth of primary brain tumours called low-grade gliomas (LGGs) and their response to chemotherapy. The motivation for considering this particular type of cancer is its large impact on society. LGGs affect mainly young adults and eventually result in death, despite the tumour growth rate being slow. The model studied consists of two non-autonomous ordinary differential equations and is a generalised version of the model proposed by Bogdańska et al. (Math. Biosci. 2017). We discuss the stability of stationary states, prove global stability of tumour-free steady state and, in some cases, justify the existence of periodic solutions. Assuming that chemotherapy effectiveness remains constant in time, we provide analytical estimates and calculate minimal doses of the drug that should eliminate the tumour for particular patients with LGGs.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBodnar, Marek
dc.contributor.authorPiotrowska, Monika
dc.contributor.authorBogdańska, Magdalena
dc.date.accessioned2024-01-25T05:34:17Z
dc.date.available2024-01-25T05:34:17Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.number5
dc.description.volume24
dc.identifier.doi10.3934/DCDSB.2019088
dc.identifier.issn1531-3492
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/111925
dc.identifier.weblinkhttp://www.aimsciences.org/article/doi/10.3934/dcdsb.2019088
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofDiscrete and Continuous Dynamical Systems - Series B
dc.relation.pages2149-2167
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enGliomas
dc.subject.enbrain tumours
dc.subject.enchemotherapy
dc.subject.enmathematical model of tumour growth
dc.subject.enasymptotic behaviour
dc.titleMathematical Analysis of a Generalised Model of Chemotherapy for Low Grade Gliomas
dc.typeJournalArticle
dspace.entity.typePublication