Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model

DOI10.3934/DCDSB.2016028zbMath1351.49051OpenAlexW2464937352MaRDI QIDQ321717

Helmut Maurer, Clara Rojas, Juan Belmonte-Beitia, Víctor M. Pérez-García

Publication date: 14 October 2016

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.2016028

zbMATH Keywords

optimal controlbang-bang controlsingular controlchemotherapylow grade glioma

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Applications of optimal control and differential games (49N90) Numerical methods based on nonlinear programming (49M37) Medical applications (general) (92C50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (4)

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 ⋮ Dynamics and analysis of a mathematical model of neuroblastoma treated with Celyvir

Uses Software

• AMPL
• Ipopt
• SOCS

Cites Work

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