Autor:
Śmieja, Jarosław ; Świerniak, Andrzej (1950- )
Współtwórca:
Kimmel, Marek - red. ; Lachowicz, Mirosław - red. ; Świerniak, Andrzej - red.
Tytuł:
Podtytuł:
Cancer Growth and Progression, Mathematical Problems and Computer Simulations
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
biomedical modelling ; infinite dimensional systems ; multivariable control
Abstract:
This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. ; The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a finite dimension, can have any form, the other is infinite dimensional and tridiagonal. ; A methodology of the analysis of such models, based on system decomposition, is presented. In order to derive necessary conditions for optimal control, the model description is transformed into an integro-differential form. Finally, biomedical implications of the obtained results are discussed.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Data wydania:
Typ zasobu:
Strony:
Źródło:
AMCS, volume 13, number 3 (2003) ; kliknij tutaj, żeby przejść