Catalog of the optimal controls in cancer chemotherapy for the Gompertz model depending on PK/PD and the integral constraint

DOI10.3934/dcdsb.2014.19.1563zbMath1302.93122OpenAlexW2313868141MaRDI QIDQ478655

Cecilia Pola, Luis Alberto Fernandez

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.1563

zbMATH Keywords

optimal controlpharmacokineticspharmacodynamicssingular controlscancer chemotherapy

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Numerical methods based on nonlinear programming (49M37) Medical applications (general) (92C50) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model ⋮ Optimal control problems for differential equations applied to tumor growth: state of the art ⋮ Optimizing the delivery of combination therapy for tumors: A mathematical model ⋮ Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas

Uses Software

• GPOPS

Cites Work

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• Algorithm 902
• Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments
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• An hp‐adaptive pseudospectral method for solving optimal control problems

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