Quadratic and linear controls developing an optimal treatment for the use of BCG immunotherapy in superficial bladder cancer

DOI10.1002/oca.2161zbMath1336.49046OpenAlexW1879407960WikidataQ58196003 ScholiaQ58196003MaRDI QIDQ2800475

Ilias Elmouki, Smahane Saadi

Publication date: 15 April 2016

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2161

zbMATH Keywords

optimal controlRunge-Kutta schemePontryagin's maximum principlegeneralized Legendre-Clebsch conditionBCG immunotherapysuperficial bladder cancer

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Medical applications (general) (92C50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Effect of awareness programs and travel-blocking operations in the control of HIV/AIDS outbreaks: a multi-domains SIR model ⋮ The importance of being normal, regular and proper in the calculus of variations ⋮ A Stochastic Optimal Control Model for BCG Immunotherapy in Superficial Bladder Cancer ⋮ Simulation of tumor response to immunotherapy using a hybrid cellular automata model

Cites Work

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• Mathematical model of pulsed immunotherapy for superficial bladder cancer
• Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemo\-therapy
• Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
• Mathematical model of BCG immunotherapy in superficial bladder cancer
• The High Order Maximal Principle and Its Application to Singular Extremals
• Optimal control of an HIV immunology model

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