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

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

1 Citation (Scopus)

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.

Original language	English
Title of host publication	ECC 1997 - European Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	267-272
Number of pages	6
ISBN (Electronic)	9783952426906
DOIs	https://doi.org/10.23919/ecc.1997.7082104
Publication status	Published - 8 Apr 1997
Event	4th European Control Conference, ECC 1997 - Brussels, Belgium Duration: 1 Jul 1997 → 4 Jul 1997

Publication series

Name	ECC 1997 - European Control Conference

Conference

Conference	4th European Control Conference, ECC 1997
Country/Territory	Belgium
City	Brussels
Period	1/07/97 → 4/07/97

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Asymptotic properties
Biomedical modelling
Infinite dimensional systems
Stability

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.23919/ecc.1997.7082104

Cite this

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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",

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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. in ECC 1997 - European Control Conference., 7082104, ECC 1997 - European Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 267-272, 4th European Control Conference, ECC 1997, Brussels, Belgium, 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. et al.
ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., 1997. p. 267-272 7082104 (ECC 1997 - European Control Conference).

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

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

Abstract

Publication series

Conference

UN SDGs

Keywords

ASJC Scopus subject areas

Access to Document

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