A mathematical model of the P-glycoprotein pump as a mediator of multidrug resistance

DOI10.1007/BF02460664zbMath0752.92014OpenAlexW4231114048WikidataQ52411309 ScholiaQ52411309MaRDI QIDQ1199386

Seth Michelson, Doris Slate

Publication date: 16 January 1993

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460664

zbMATH Keywords

stability analysisordinary differential equationpartial differential equationsimulationsMichaelis-Menten kineticscytoplasmATPATP-ADP pool distributioncytotoxic agentsdrug efflux pumpdynamic algebraic calculationenergy-dependent efflux of cytotoxic agentsfacilitated diffusion processmultidrug resistant phenotypeP- glycoproteinp170transmembrane protein

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (6)

Mathematical modelling highlights the potential for genetic manipulation as an adjuvant to counter efflux-mediated MDR in \textit{Salmonella} ⋮ Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria ⋮ A mathematical model of breast cancer treatment with CMF and doxorubicin ⋮ A mathematical model of the P-glycoprotein pump as a mediator of multidrug resistance ⋮ The impact of cell density and mutations in a model of multidrug resistance in solid tumors ⋮ A mathematical model for the inhibition of the multidrug resistance- associated \(p\)-glycoprotein pump

Cites Work

• A model for the resistance of tumor cells to cancer chemotherapeutic agents
• On control of the function of the sodium-potassium pump in malignant cells
• The effect of cellular differentiation on the development of permanent drug resistance
• A branching-process model for heterogeneous cell populations
• Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape
• A mathematical model of the P-glycoprotein pump as a mediator of multidrug resistance

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