Dynamical Control for the Parametric Uncertain Cancer Systems
| Autor: | Yi-Horng Lai, Lan-Yuen Guo, Jau-Woei Perng, Kun-Ching Wang |
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| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Cancer Model Perturbation (astronomy) 02 engineering and technology Cell growth rate Fuzzy logic Computer Science Applications 020901 industrial engineering & automation Exponential stability Control and Systems Engineering Fuzzy number Applied mathematics Dynamical control Parametric statistics Mathematics |
| Zdroj: | International Journal of Control, Automation and Systems. 18:2411-2422 |
| ISSN: | 2005-4092 1598-6446 |
| DOI: | 10.1007/s12555-019-0291-2 |
| Popis: | In this study, we consider a parametric uncertain Lotka-Volterra cancer model including three interacting cell populations of tumor cells, healthy host cells and immune effector cells. The biological parameter (i.e., cell growth rate) is described as a form of the triangular fuzzy number. By using grade mean value conversion, the imprecise fuzzy parameter is translated into the degree of optimism (λ-integral value λ ∈ [0,1]) interval. We derive the sufficient conditions for the existence of the region of asymptotic stability (RAS) in the fuzzy cancer model. The boundary crisis of transient chaos and properties of RAS are investigated under fuzzy environment. We present a dynamical perturbation control to avoid uncontrolled tumor cell growth and prevent healthy cell extinction. |
| Databáze: | OpenAIRE |
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