Low-intensity combination chemotherapy maximizes host survival time for tumors containing drug-resistant cells

DOI10.1016/0025-5564(92)90039-YzbMath0764.92012OpenAlexW2037548799WikidataQ52418650 ScholiaQ52418650MaRDI QIDQ1196633

R. F. Minchin, Michael E. Fisher, R. Bruce Martin, Kok Lay Teo

Publication date: 16 January 1993

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(92)90039-y

zbMATH Keywords

nonlinear optimizationsimulationsclinical trialscancer chemotherapydrug concentrationdrug toxicitycombinations of drugsdose intensitydrug-resistant cellsexponential and logistic tumor growth modelsfixed terminal time problemsGompertz tumor growthhost survival time

Mathematics Subject Classification ID

Differential games and control (49N70) Medical applications (general) (92C50) Pursuit and evasion games (49N75)

Related Items (9)

Optimal drug regimens in cancer chemotherapy for single drugs that block progression through the cell cycle ⋮ A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment ⋮ Tumor containment: a more general mathematical analysis ⋮ The effect of heterogeneity on optimal regimens in cancer chemotherapy ⋮ A survey of optimization models on cancer chemotherapy treatment planning ⋮ Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration ⋮ Optimisation of Cancer Drug Treatments Using Cell Population Dynamics ⋮ Optimal control for a stochastic model of cancer chemotherapy ⋮ Analyzing the quality robustness of chemotherapy plans with respect to model uncertainties

Uses Software

• MISER3
• NLPQL

Cites Work

• A computational algorithm for functional inequality constrained optimization problems
• A model for the resistance of tumor cells to cancer chemotherapeutic agents
• The effect of cellular differentiation on the development of permanent drug resistance
• Control parametrization: a unified approach to optimal control problems with general constraints
• Models for dose intensity
• A stochastic model for the origin and treatment of tumors containing drug-resistant cells
• A mathematical model of cancer chemotherapy with an optimal selection of parameters
• Alternative algorithms for solving nonlinear function and functional inequalities

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