Oza, HB;
Pandey, R;
Roper, D;
Al-Nuaimi, Y;
Spurgeon, SK;
Goodfellow, M;
(2016)
Modelling and finite-time stability analysis of psoriasis pathogenesis.
International Journal of Control
, 90
(8)
pp. 1664-1677.
10.1080/00207179.2016.1217566.
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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 have been studied in various engineering applications where the principal paradigm uses non-Lipschitz functions of the states. A comprehensive study of the finite-time stability properties of the proposed psoriasis dynamics is carried out. It is demonstrated that the dynamics are finite-time convergent to certain equilibrium points rather than asymptotically or exponentially convergent. This feature of finite-time convergence motivates the development of a modified version of the Michaelis–Menten function, frequently used in biology. This framework is used to model cytokines as fast finite-time actuators.
| Type: | Article |
|---|---|
| Title: | Modelling and finite-time stability analysis of psoriasis pathogenesis |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/00207179.2016.1217566 |
| Publisher version: | http://dx.doi.org/10.1080/00207179.2016.1217566 |
| Language: | English |
| Additional information: | Copyright © 2016 Informa UK Limited, trading as Taylor & Francis Group. This is an Accepted Manuscript of an article published by Taylor & Francis in the International Journal of Control on 8 September 2016, available online: http://www.tandfonline.com/doi/full/10.1080/00207179.2016.1217566 |
| Keywords: | Biological modelling, psoriasis, finite-time stability, singular perturbation analysis |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1514540 |
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