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

Katedra Inżynierii i Biologii Systemów (RAU/RAU1)

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

1 Cytowanie z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Tytuł publikacji goszczącej	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Strony	6228-6233
Liczba stron	6
Identyfikatory DOI	https://doi.org/10.1109/CDC.2005.1583159
Status publikacji	Opublikowano - 2005
Wydarzenie	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Hiszpania Czas trwania: 12 gru 2005 → 15 gru 2005

Seria publikacji

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

Konferencja

Konferencja	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Kraj/Terytorium	Hiszpania
Miejscowość	Seville
Okres	12/12/05 → 15/12/05

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 3 Dobre zdrowie i dobre samopoczucie

Obszary tematyczne ASJC Scopus

Inżynieria ogólna

Uzyskaj dostęp do dokumentu

10.1109/CDC.2005.1583159

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

Swierniak, A. (2005). Positive dynamic systems resulting from modeling cancer chemotherapy. W Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (str. 6228-6233). Artykułu 1583159 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Tom 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. w 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, tom 2005, str. 6228-6233, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Hiszpania, 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. str. 6228-6233 1583159 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Tom 2005).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

T1 - Positive dynamic systems resulting from modeling cancer chemotherapy

AU - Swierniak, Andrzej

PY - 2005

Y1 - 2005

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.

UR - https://www.scopus.com/pages/publications/33847212436

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. W Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. str. 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

Abstrakt

Seria publikacji

Konferencja

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

Fingerprint

Cytowanie