Chemotherapeutic treatments involving drug resistance and level of normal cells as a criterion of toxicity

DOI10.1016/0025-5564(94)00028-XzbMath0821.92016OpenAlexW2018370216WikidataQ52351072 ScholiaQ52351072MaRDI QIDQ1804872

M. I. S. Costa, José Luiz Boldrini, Rodney Carlos Bassanezi

Publication date: 27 September 1995

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

Full work available at URL: https://doi.org/10.1016/0025-5564(94)00028-x

zbMATH Keywords

cancer chemotherapydrug resistanceexponential tumor growthtoxicitycontrol of tumor cells growth

Mathematics Subject Classification ID

Differential games and control (49N70) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50) Pursuit and evasion games (49N75) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (13)

Chemotherapeutic treatments: A study of the interplay among drug resistance, toxicity and recuperation from side effects ⋮ Conflicting objectives in chemotherapy with drug resistance ⋮ Optimal multitherapy strategy in mathematical model of dynamics of the number of nonuniform tumor cells ⋮ The influence of fixed and free final time of treatment on optimal chemotherapeutic protocols ⋮ On strategies on a mathematical model for leukemia therapy ⋮ A chemotherapy model for the treatment of cancer with metastasis ⋮ Solution of the feedback control problem in the mathematical model of leukaemia therapy ⋮ The dynamics of an optimally controlled tumor model: A case study ⋮ The optimal dose of CAF regimen in adjuvant chemotherapy for breast cancer patients at stage IIB ⋮ Maximization of viability time in a mathematical model of cancer therapy ⋮ Computational modeling of tumor response to vascular-targeting therapies. I: Validation ⋮ Recovery of normal hemopoiesis in disseminated cancer therapy -- a model ⋮ Drug kinetics and drug resistance in optimal chemotherapy

Cites Work

• Optimal control for a cancer chemotherapy problem with general growth and loss functions
• Role of optimal control theory in cancer chemotherapy
• A model for the resistance of tumor cells to cancer chemotherapeutic agents
• Optimal control analysis in the chemotherapy of IgG multiple myeloma
• Mathematical approaches to optimization of cancer chemotherapy
• Drug kinetics and drug resistance in optimal chemotherapy
• Some optimal control problems in cancer chemotherapy with a toxicity limit
• A stochastic model for the origin and treatment of tumors containing drug-resistant cells
• Optimal control in some cancer chemotherapy problems
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