On optimal delivery of combination therapy for tumors

Alberto d'Onofrio; Urszula Ledzewicz; Helmut Maurer; Heinz Schättler

doi:10.1016/j.mbs.2009.08.004

On optimal delivery of combination therapy for tumors

Alberto d'Onofrio, Urszula Ledzewicz, Helmut Maurer, Heinz Schättler

Istituto Europeo di Oncologia

Research output: Contribution to journal › Article › peer-review

Abstract

A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented.

Original language	English
Pages (from-to)	13-26
Number of pages	14
Journal	Mathematical Biosciences
Volume	222
Issue number	1
DOIs	https://doi.org/10.1016/j.mbs.2009.08.004
Publication status	Published - Nov 2009

Keywords

Anti-angiogenesis
Chemotherapy
Combination therapy for tumors
Mathematical model
Optimal control

ASJC Scopus subject areas

Agricultural and Biological Sciences(all)
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Applied Mathematics
Modelling and Simulation
Statistics and Probability
Medicine(all)

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10.1016/j.mbs.2009.08.004

Cite this

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title = "On optimal delivery of combination therapy for tumors",

abstract = "A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented.",

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AU - d'Onofrio, Alberto

AU - Ledzewicz, Urszula

AU - Maurer, Helmut

AU - Schättler, Heinz

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N2 - A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented.

AB - A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented.

KW - Anti-angiogenesis

KW - Chemotherapy

KW - Combination therapy for tumors

KW - Mathematical model

KW - Optimal control

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On optimal delivery of combination therapy for tumors

Abstract

Keywords

ASJC Scopus subject areas

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