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Modeling of drug resistance: Comparison of two hypotheses for slowly proliferating tumors on the example of low‐grade gliomas

cris.lastimport.scopus2024-02-12T20:17:49Z
dc.abstract.enAcquired drug resistance (ADR) syndrome is one of the most important features associated with tumor treatment and it is therefore a topic of intensive studies. We present two simple mathematical models reflecting different mechanisms of ADR with some Darwinian effects included. These effects allow bi-directional flow between resistant and sensitive compartments, meaning that not only sensitive cells become resistant but also resistant cells may become sensitive again. Basing on this mathematical approach, we conclude that, for constant continuous treatment, if there is no flow back to the sensitive compartment, then once resistant cells appear, sensitive cells are eventually eliminated, independently of the mechanism of acquiring the resistance. However, with bi-directional flow, the situation is a little better as the sensitive cells are not completely eliminated, although they are still outcompeted by the resistant ones. Moreover, if the therapy is stopped, resistant cells become dominated by sensitive cells and the situation changes. We discuss these mechanisms for slowly proliferating tumors on the example of gliomas.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBodnar, Marek
dc.contributor.authorForyś, Urszula
dc.date.accessioned2024-01-25T12:49:50Z
dc.date.available2024-01-25T12:49:50Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.description.number8
dc.description.volume45
dc.identifier.doi10.1002/MMA.7893
dc.identifier.issn0170-4214
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/112759
dc.identifier.weblinkhttps://onlinelibrary.wiley.com/doi/10.1002/mma.7893
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.pages4161-4184
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enDarwinian effect
dc.subject.endrug resistance
dc.subject.enmathematical modeling
dc.subject.enordinary differential equations
dc.subject.enqualitative analysis
dc.titleModeling of drug resistance: Comparison of two hypotheses for slowly proliferating tumors on the example of low‐grade gliomas
dc.typeJournalArticle
dspace.entity.typePublication