Optimal chemotherapy in cancer treatment: state dependent Riccati equation control and extended Kalman filter

DOI10.1002/oca.2039zbMath1302.93210OpenAlexW2113827487MaRDI QIDQ5415717

Hamid Khaloozadeh, Yazdan Batmani

Publication date: 16 May 2014

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

Full work available at URL: https://doi.org/10.1002/oca.2039

zbMATH Keywords

extended Kalman filterchemotherapySDRE controladaptive immune system

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Medical applications (general) (92C50)

Related Items (9)

Personalized drug administration for cancer treatment using model reference adaptive control ⋮ On the Design of Observer for Nonlinear Time-Delay Systems ⋮ Reinforcement learning-based control of drug dosing for cancer chemotherapy treatment ⋮ Robust state feedback stabilisation of positive LTI systems with polytopic uncertainty ⋮ Robust p53 recovery using chattering free sliding mode control and a gain-scheduled modified utkin observer ⋮ Optimal motion planning of non-linear dynamic systems in the presence of obstacles and moving boundaries using SDRE: application on cable-suspended robot ⋮ On the design of suboptimal sliding manifold for a class of nonlinear uncertain time-delay systems ⋮ The effect of finite duration inputs on the dynamics of a system: Proposing a new approach for cancer treatment ⋮ A NEW MATHEMATICAL MODELING AND SUB-OPTIMAL CHEMOTHERAPY OF CANCER

Cites Work

• A history of the study of solid tumour growth: the contribution of mathematical modelling
• The optimal dose of CAF regimen in adjuvant chemotherapy for breast cancer patients at stage IIB
• The dynamics of an optimally controlled tumor model: A case study
• Mixed immunotherapy and chemotherapy of tumors: feedback design and model updating schemes
• Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls
• A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
• A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
• Control designs for the nonlinear benchmark problem via the state-dependent Riccati equation method

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