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.
| Original language | English |
|---|---|
| Pages (from-to) | 1245-1252 |
| Number of pages | 8 |
| Journal | Mathematical and Computer Modelling |
| Volume | 37 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 1 Jun 2003 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Biomodelling
- Feedback systems
- Stability
- Tumour growth
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Science Applications
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