Qualitative analysis of controlled drug resistance model - inverse Laplace and and semigroup approach

• Autorzy: Świerniak A. , Polański A. , Kimmel M. , Bobrowski A. , Śmieja J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study some properties of infinite models of the controlled evolution of drug resistance. We combine asymptotic techniques used in previous studies of similar models with methods of control theory and of semigroup theory. It enables us to find conditions for stability of the model both when the sensitive population is annihilated and when there exists a permanent influx from the sensivite compartment into drug resistant one. The conditions are expressed in terms of relationships between amplification and deamplification ratios as well as average life times of cells and intensity of anticancer drug action.

Słowa kluczowe

EN

biomedical models; branching processes; infinite dimensional systems; stability

PL

modele biomedyczne; proces gałązkowy; stabilność; układy nieskończenie wymiarowe

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1999
• Tom: Vol. 28, no 1
• Strony: 61--73
• Opis fizyczny: Bibliogr. 14 poz.,

Twórcy

autor

Świerniak A.

autor

Polański A.

autor

Kimmel M.

autor

Bobrowski A.

autor

Śmieja J.

• Department of Automatic Control, Silesian Technical University, ul. Akademicka 16, 44-100 Gliwice, Poland