Modelling and finite time stability analysis of psoriasis pathogenesis

Oza, Harshal B., Pandey, Rakesh, Roper, Daniel, Al-Nuaimi, Yusar, Spurgeon, Sarah K., Goodfellow, Marc (2016) Modelling and finite time stability analysis of psoriasis pathogenesis. International Journal of Control, . pp. 1-27. ISSN 0020-7179. (doi:10.1080/00207179.2016.1217566)

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http://dx.doi.org/10.1080/00207179.2016.1217566

Abstract

A new systems model of psoriasis is presented and analysed from the perspective of control theory. Cytokines are treated as actuators to the plant model that govern the cell population under the reasonable assumption that cytokine dynamics are faster than the cell population dynamics. The analysis of various equilibria is undertaken based on singular perturbation theory. Finite time stability and stabilisation has been studied in various engineering applications where the principal paradigm uses non-Lipschitz functions of the states. A comprehensive study of the ?nite time stability properties of the proposed psoriasis dynamics is carried out. It is demonstrated that the dynamics are ?nite time convergent to certain equilibrium points rather than asymptotically or exponentially convergent. This feature of ?nite time convergence motivates the development of a modi?ed version of the Michaelis-Menten function, frequently used in biology. This framework is used to model cytokines as fast ?nite time actuators.

Item Type: Article
DOI/Identification number: 10.1080/00207179.2016.1217566
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Tina Thompson
Date Deposited: 09 Aug 2016 13:05 UTC
Last Modified: 29 May 2019 17:42 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/56774 (The current URI for this page, for reference purposes)
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