Publication:356954

{{DISPLAYTITLE:On the MTD paradigm and optimal control for multi-drug cancer chemotherapy

DOI10.3934/mbe.2013.10.803zbMath1268.92065OpenAlexW2328357755WikidataQ44904147 ScholiaQ44904147MaRDI QIDQ356954

Heinz Schättler, Mostafa Reisi Gahrooi, Siamak Mahmoudian Dehkordi, Urszula Łedzewicz-Kowalewska

Publication date: 29 July 2013

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2013.10.803

zbMATH Keywords

optimal controlchemotherapymulti-drug treatments

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Medical applications (general) (92C50) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Evaluating the efficacies of maximum tolerated dose and metronomic chemotherapies: a mathematical approach, Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model, Limiting the development of anti-cancer drug resistance in a spatial model of micrometastases, On drug resistance and metronomic chemotherapy: a mathematical modeling and optimal control approach, The Structure of Optimal Protocols for a Mathematical Model of Chemotherapy with Antiangiogenic Effects, 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, Sufficient conditions for strong local optimality in optimal control problems with \(L_{2}\)-type objectives and control constraints, Optimal Chemotherapy for Brain Tumor Growth in a Reaction-Diffusion Model, Influence of mutations in phenotypically-structured populations in time periodic environment, A 3-compartment model for chemotherapy of heterogeneous tumor populations, Fields of extremals and sensitivity analysis for multi-input bilinear optimal control problems