Drug kinetics and drug resistance in optimal chemotherapy

DOI10.1016/0025-5564(94)00027-WzbMath0821.92015OpenAlexW2016908937WikidataQ52351078 ScholiaQ52351078MaRDI QIDQ1804871

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)00027-w

zbMATH Keywords

tumor growthsaturationdrug resistancedrug concentrationtoxicitydrug decayfirst-order pharmacokinetics dynamicsmaximum allowed drug injectionoptimal chemotherapy

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)

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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 ⋮ Analysis of resonance chemotherapy in leukemia treatment via multi-staged population balance models ⋮ Optimization of the chemotherapy process on the base of the maximum principle ⋮ Chemotherapeutic treatments involving drug resistance and level of normal cells as a criterion of toxicity ⋮ ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY ⋮ A cellular automata model of chemotherapy effects on tumour growth: targeting cancer and immune cells ⋮ Application of optimal control theory to analysis of cancer chemotherapy regimens

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