Singularity of optimal antiangiogenic strategies - Exception or rule

A. Swierniak; J. Smieja

Singularity of optimal antiangiogenic strategies - Exception or rule

Department of Systems Biology and Engineering (RAU/RAU1)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

Six models of antiangiogenic therapy are compared and analyzed taking into account properties of strategies obtained in the process of optimization of its protocols. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network and they are modifications of the model proposed by Hahnfeldt et al. We analyse optimal control problems resulted from their use and we demonstrate that for five of them the optimal control has no singular arcs.

Original language	English
Title of host publication	Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010
Pages	297-302
Number of pages	6
Publication status	Published - 2010
Event	7th IASTED International Conference on Biomedical Engineering, BioMED 2010 - Innsbruck, Austria Duration: 17 Feb 2010 → 19 Feb 2010

Publication series

Name	Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010
Volume	1

Conference

Conference	7th IASTED International Conference on Biomedical Engineering, BioMED 2010
Country/Territory	Austria
City	Innsbruck
Period	17/02/10 → 19/02/10

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Cancer
Drug delivery and pharmacokinetics
Dynamic systems
Optimal control

ASJC Scopus subject areas

Biomedical Engineering
Medicine (miscellaneous)

Cite this

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title = "Singularity of optimal antiangiogenic strategies - Exception or rule",

abstract = "Six models of antiangiogenic therapy are compared and analyzed taking into account properties of strategies obtained in the process of optimization of its protocols. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network and they are modifications of the model proposed by Hahnfeldt et al. We analyse optimal control problems resulted from their use and we demonstrate that for five of them the optimal control has no singular arcs.",

keywords = "Cancer, Drug delivery and pharmacokinetics, Dynamic systems, Optimal control",

author = "A. Swierniak and J. Smieja",

year = "2010",

language = "English",

isbn = "9780889868250",

series = "Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010",

pages = "297--302",

booktitle = "Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010",

note = "7th IASTED International Conference on Biomedical Engineering, BioMED 2010 ; Conference date: 17-02-2010 Through 19-02-2010",

}

Swierniak, A & Smieja, J 2010, Singularity of optimal antiangiogenic strategies - Exception or rule. in Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010. Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010, vol. 1, pp. 297-302, 7th IASTED International Conference on Biomedical Engineering, BioMED 2010, Innsbruck, Austria, 17/02/10.

Singularity of optimal antiangiogenic strategies - Exception or rule. / Swierniak, A.; Smieja, J.
Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010. 2010. p. 297-302 (Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Singularity of optimal antiangiogenic strategies - Exception or rule

AU - Swierniak, A.

AU - Smieja, J.

PY - 2010

Y1 - 2010

N2 - Six models of antiangiogenic therapy are compared and analyzed taking into account properties of strategies obtained in the process of optimization of its protocols. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network and they are modifications of the model proposed by Hahnfeldt et al. We analyse optimal control problems resulted from their use and we demonstrate that for five of them the optimal control has no singular arcs.

AB - Six models of antiangiogenic therapy are compared and analyzed taking into account properties of strategies obtained in the process of optimization of its protocols. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network and they are modifications of the model proposed by Hahnfeldt et al. We analyse optimal control problems resulted from their use and we demonstrate that for five of them the optimal control has no singular arcs.

KW - Cancer

KW - Drug delivery and pharmacokinetics

KW - Dynamic systems

KW - Optimal control

UR - https://www.scopus.com/pages/publications/79953830436

M3 - Conference contribution

AN - SCOPUS:79953830436

SN - 9780889868250

T3 - Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010

SP - 297

EP - 302

BT - Proceedings of the 7th IASTED International Conference on Biomedical Engineering, BioMED 2010

T2 - 7th IASTED International Conference on Biomedical Engineering, BioMED 2010

Y2 - 17 February 2010 through 19 February 2010

ER -

Singularity of optimal antiangiogenic strategies - Exception or rule

Abstract

Publication series

Conference

UN SDGs

Keywords

ASJC Scopus subject areas

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