Asymptotic properties of infinite dimensional model of drug resistance evolution

Author

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

Author_Institution

Inst. of Autom., Silesian Tech. Univ., Gliwice, Poland

fYear

1997

fDate

1-7 July 1997

Firstpage

267

Lastpage

272

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

cancer; drugs; molecular biophysics; multidimensional systems; stability; analytical solution; asymptotic behavior; asymptotic properties; asymptotical analysis; cancer cell resistance; chemotherapy; drug resistance evolution; dynamical properties; finite initial condition; infinite dimensional model; infinite element number; infinitesimal generator; initial condition; molecular biology; spectral properties; stability conditions; stability problem; stability verification; Drugs; Mathematical model; Nickel; Resistance; Sociology; Stability analysis; Statistics; asymptotic properties; biomedical modelling; infinite dimensional systems; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082104