A multi-drug pharmacokinectic optimal control approach in cancer chemotherapy

DOI10.1007/s10957-022-02085-0zbMath1500.92042OpenAlexW4292485420MaRDI QIDQ2082249

M. P. Rajan, C. K. Nanditha

Publication date: 4 October 2022

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-022-02085-0

zbMATH Keywords

optimal controlmathematical modelingcancerchemotherapy

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

• Immunotherapy: an optimal control theory approach
• Combination therapies and intra-tumoral competition: insights from mathematical modeling
• Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
• An elementary approach to modeling drug resistance in cancer
• Optimal control of tumour-immune model with time-delay and immuno-chemotherapy
• Chemotherapy and immunotherapy for tumors: a study of quadratic optimal control
• Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
• A 3-compartment model for chemotherapy of heterogeneous tumor populations
• A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
• On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly
• AN ADAPTIVE PHARMACOKINETIC OPTIMAL CONTROL APPROACH IN CHEMOTHERAPY FOR HETEROGENEOUS TUMOR
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