Asymptotic properties of infinite dimensional model of drug resistance evolution

A. Swierniak; A. Polanski; J. Smieja; M. Kimmel

doi:10.23919/ecc.1997.7082104

Asymptotic properties of infinite dimensional model of drug resistance evolution

Rice University

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Abstrakt

We are concerned with dynamical properties of a model of emergence of resistance of cancer cells to chemotherapy, as understood based on recent progress in molecular biology. In some special cases of this model, their asymptotic behavior and the stability problem for the infinite dimensional case were studied. In the case of finite initial condition the stability conditions were derived by asymptotical analysis of the analytical solution to the system of equations. In the case of initial condition with infinite number of elements the stability verification was based on the spectral properties of the infinitesimal generator of the system.

Język oryginału	angielski
Tytuł publikacji goszczącej	ECC 1997 - European Control Conference
Wydawca	Institute of Electrical and Electronics Engineers Inc.
Strony	267-272
Liczba stron	6
ISBN (elektroniczny)	9783952426906
Identyfikatory DOI	https://doi.org/10.23919/ecc.1997.7082104
Status publikacji	Opublikowano - 8 kwi 1997
Wydarzenie	4th European Control Conference, ECC 1997 - Brussels, Belgia Czas trwania: 1 lip 1997 → 4 lip 1997

Seria publikacji

Nazwa	ECC 1997 - European Control Conference

Konferencja

Konferencja	4th European Control Conference, ECC 1997
Kraj/Terytorium	Belgia
Miejscowość	Brussels
Okres	1/07/97 → 4/07/97

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 sterowania i systemów

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10.23919/ecc.1997.7082104

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Cytowanie

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title = "Asymptotic properties of infinite dimensional model of drug resistance evolution",

abstract = "We are concerned with dynamical properties of a model of emergence of resistance of cancer cells to chemotherapy, as understood based on recent progress in molecular biology. In some special cases of this model, their asymptotic behavior and the stability problem for the infinite dimensional case were studied. In the case of finite initial condition the stability conditions were derived by asymptotical analysis of the analytical solution to the system of equations. In the case of initial condition with infinite number of elements the stability verification was based on the spectral properties of the infinitesimal generator of the system.",

keywords = "Asymptotic properties, Biomedical modelling, Infinite dimensional systems, Stability",

author = "A. Swierniak and A. Polanski and J. Smieja and M. Kimmel",

year = "1997",

month = apr,

day = "8",

doi = "10.23919/ecc.1997.7082104",

language = "English",

series = "ECC 1997 - European Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "267--272",

booktitle = "ECC 1997 - European Control Conference",

address = "United States",

note = "4th European Control Conference, ECC 1997 ; Conference date: 01-07-1997 Through 04-07-1997",

}

Swierniak, A , Polanski, A , Smieja, J & Kimmel, M 1997, Asymptotic properties of infinite dimensional model of drug resistance evolution. w ECC 1997 - European Control Conference., 7082104, ECC 1997 - European Control Conference, Institute of Electrical and Electronics Engineers Inc., str. 267-272, 4th European Control Conference, ECC 1997, Brussels, Belgia, 1/07/97. https://doi.org/10.23919/ecc.1997.7082104

Asymptotic properties of infinite dimensional model of drug resistance evolution. / Swierniak, A.; Polanski, A.; Smieja, J. i in.
ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., 1997. str. 267-272 7082104 (ECC 1997 - European Control Conference).

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

TY - GEN

T1 - Asymptotic properties of infinite dimensional model of drug resistance evolution

AU - Swierniak, A.

AU - Polanski, A.

AU - Smieja, J.

AU - Kimmel, M.

PY - 1997/4/8

Y1 - 1997/4/8

N2 - We are concerned with dynamical properties of a model of emergence of resistance of cancer cells to chemotherapy, as understood based on recent progress in molecular biology. In some special cases of this model, their asymptotic behavior and the stability problem for the infinite dimensional case were studied. In the case of finite initial condition the stability conditions were derived by asymptotical analysis of the analytical solution to the system of equations. In the case of initial condition with infinite number of elements the stability verification was based on the spectral properties of the infinitesimal generator of the system.

AB - We are concerned with dynamical properties of a model of emergence of resistance of cancer cells to chemotherapy, as understood based on recent progress in molecular biology. In some special cases of this model, their asymptotic behavior and the stability problem for the infinite dimensional case were studied. In the case of finite initial condition the stability conditions were derived by asymptotical analysis of the analytical solution to the system of equations. In the case of initial condition with infinite number of elements the stability verification was based on the spectral properties of the infinitesimal generator of the system.

KW - Asymptotic properties

KW - Biomedical modelling

KW - Infinite dimensional systems

KW - Stability

UR - https://www.scopus.com/pages/publications/84983177558

U2 - 10.23919/ecc.1997.7082104

DO - 10.23919/ecc.1997.7082104

M3 - Conference contribution

AN - SCOPUS:84983177558

T3 - ECC 1997 - European Control Conference

SP - 267

EP - 272

BT - ECC 1997 - European Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 4th European Control Conference, ECC 1997

Y2 - 1 July 1997 through 4 July 1997

ER -

Asymptotic properties of infinite dimensional model of drug resistance evolution

Abstrakt

Seria publikacji

Konferencja

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

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Cytowanie