Title :
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
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;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
