Positive dynamic systems resulting from modeling cancer chemotherapy

Andrzej Swierniak

doi:10.1109/CDC.2005.1583159

Positive dynamic systems resulting from modeling cancer chemotherapy

Andrzej Swierniak

Department of Systems Biology and Engineering (RAU/RAU1)

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

1 Citation (Scopus)

Abstract

We consider a specific class of mathematical bilinear models based on cell-cycle kinetics which are used to describe and improve treatment protocols in phase-specific cancer chemotherapy. This class of models contains a two compartmental model of single drug chemotherapy, three compartmental models of multidrug therapy combining blocking and killing actions, and recruitment from quiescence together with killing action, as well as more general multicompartmental model with many drugs. We demonstrate that these models are positive dynamic systems and it is very important from biological point of view. Moreover this property is crucial for elimination of singular controls from candidates for optimality.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	6228-6233
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1583159
Publication status	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

UN SDGs

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

SDG 3 Good Health and Well-being

ASJC Scopus subject areas

General Engineering

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10.1109/CDC.2005.1583159

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Swierniak, A. (2005). Positive dynamic systems resulting from modeling cancer chemotherapy. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 6228-6233). Article 1583159 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583159

@inproceedings{e2cb620964804c65bdaefba750b21241,

title = "Positive dynamic systems resulting from modeling cancer chemotherapy",

abstract = "We consider a specific class of mathematical bilinear models based on cell-cycle kinetics which are used to describe and improve treatment protocols in phase-specific cancer chemotherapy. This class of models contains a two compartmental model of single drug chemotherapy, three compartmental models of multidrug therapy combining blocking and killing actions, and recruitment from quiescence together with killing action, as well as more general multicompartmental model with many drugs. We demonstrate that these models are positive dynamic systems and it is very important from biological point of view. Moreover this property is crucial for elimination of singular controls from candidates for optimality.",

author = "Andrzej Swierniak",

year = "2005",

doi = "10.1109/CDC.2005.1583159",

language = "English",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "6228--6233",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Swierniak, A 2005, Positive dynamic systems resulting from modeling cancer chemotherapy. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1583159, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 6228-6233, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583159

Positive dynamic systems resulting from modeling cancer chemotherapy. / Swierniak, Andrzej.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 6228-6233 1583159 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

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

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PY - 2005

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N2 - We consider a specific class of mathematical bilinear models based on cell-cycle kinetics which are used to describe and improve treatment protocols in phase-specific cancer chemotherapy. This class of models contains a two compartmental model of single drug chemotherapy, three compartmental models of multidrug therapy combining blocking and killing actions, and recruitment from quiescence together with killing action, as well as more general multicompartmental model with many drugs. We demonstrate that these models are positive dynamic systems and it is very important from biological point of view. Moreover this property is crucial for elimination of singular controls from candidates for optimality.

AB - We consider a specific class of mathematical bilinear models based on cell-cycle kinetics which are used to describe and improve treatment protocols in phase-specific cancer chemotherapy. This class of models contains a two compartmental model of single drug chemotherapy, three compartmental models of multidrug therapy combining blocking and killing actions, and recruitment from quiescence together with killing action, as well as more general multicompartmental model with many drugs. We demonstrate that these models are positive dynamic systems and it is very important from biological point of view. Moreover this property is crucial for elimination of singular controls from candidates for optimality.

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U2 - 10.1109/CDC.2005.1583159

DO - 10.1109/CDC.2005.1583159

M3 - Conference contribution

AN - SCOPUS:33847212436

SN - 0780395689

SN - 9780780395688

T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

SP - 6228

EP - 6233

BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Y2 - 12 December 2005 through 15 December 2005

ER -

Swierniak A. Positive dynamic systems resulting from modeling cancer chemotherapy. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 6228-6233. 1583159. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1583159

Positive dynamic systems resulting from modeling cancer chemotherapy

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