Modelling growth of drug resistant cancer populations as the system with positive feedback

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

doi:10.1016/S0895-7177(03)00134-1

Modelling growth of drug resistant cancer populations as the system with positive feedback

Rice University

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

We are concerned with dynamical properties of models of emergence of resistance of cancer cells to chemotherapy, based on recent progress in molecular biology. The model of the process has a form of the infinite system of linear and bilinear state equations. We show that, it can be decomposed into two parts: the first one is finite dimensional bilinear, and the second one is infinite dimensional linear, coupled by the positive feedback. Then, we use some results of the theory of feedback systems to study the asymptotic properties of the process.

Język oryginału	angielski
Strony (od–do)	1245-1252
Liczba stron	8
Czasopismo	Mathematical and Computer Modelling
Tom	37
Numer wydania	11
Identyfikatory DOI	https://doi.org/10.1016/S0895-7177(03)00134-1
Status publikacji	Opublikowano - 1 cze 2003

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 3 Dobre zdrowie i dobre samopoczucie

Obszary tematyczne ASJC Scopus

Modelowanie i symulacja
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10.1016/S0895-7177(03)00134-1

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Cytowanie

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abstract = "We are concerned with dynamical properties of models of emergence of resistance of cancer cells to chemotherapy, based on recent progress in molecular biology. The model of the process has a form of the infinite system of linear and bilinear state equations. We show that, it can be decomposed into two parts: the first one is finite dimensional bilinear, and the second one is infinite dimensional linear, coupled by the positive feedback. Then, we use some results of the theory of feedback systems to study the asymptotic properties of the process.",

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author = "A. Swierniak and A. Polanski and J. Smieja and M. Kimmel",

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T1 - Modelling growth of drug resistant cancer populations as the system with positive feedback

AU - Swierniak, A.

AU - Polanski, A.

AU - Smieja, J.

AU - Kimmel, M.

PY - 2003/6/1

Y1 - 2003/6/1

N2 - We are concerned with dynamical properties of models of emergence of resistance of cancer cells to chemotherapy, based on recent progress in molecular biology. The model of the process has a form of the infinite system of linear and bilinear state equations. We show that, it can be decomposed into two parts: the first one is finite dimensional bilinear, and the second one is infinite dimensional linear, coupled by the positive feedback. Then, we use some results of the theory of feedback systems to study the asymptotic properties of the process.

AB - We are concerned with dynamical properties of models of emergence of resistance of cancer cells to chemotherapy, based on recent progress in molecular biology. The model of the process has a form of the infinite system of linear and bilinear state equations. We show that, it can be decomposed into two parts: the first one is finite dimensional bilinear, and the second one is infinite dimensional linear, coupled by the positive feedback. Then, we use some results of the theory of feedback systems to study the asymptotic properties of the process.

KW - Biomodelling

KW - Feedback systems

KW - Stability

KW - Tumour growth

UR - https://www.scopus.com/pages/publications/0037898940

U2 - 10.1016/S0895-7177(03)00134-1

DO - 10.1016/S0895-7177(03)00134-1

M3 - Article

AN - SCOPUS:0037898940

SN - 0895-7177

VL - 37

SP - 1245

EP - 1252

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11

ER -

Modelling growth of drug resistant cancer populations as the system with positive feedback

Abstrakt

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

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