Modelling and finite-time stability analysis of psoriasis pathogenesis

DOI10.1080/00207179.2016.1217566zbMath1367.93056OpenAlexW2510730031WikidataQ61739986 ScholiaQ61739986MaRDI QIDQ5348358

Rakesh Pandey, Marc Goodfellow, Daniel Roper, Harshal B. Oza, Yusur Al-Nuaimi, Sarah K. Spurgeon

Publication date: 15 August 2017

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://kar.kent.ac.uk/56774/1/Finit_time_stab_resubmission.pdf

zbMATH Keywords

singular perturbation analysisfinite-time stabilitybiological modellingpsoriasis

Mathematics Subject Classification ID

Application models in control theory (93C95) Time-scale analysis and singular perturbations in control/observation systems (93C70) Medical applications (general) (92C50) Cell biology (92C37) Stability of control systems (93D99)

Related Items (6)

A model analysis to measure the adherence of Etanercept and Fezakinumab therapy for the treatment of psoriasis ⋮ Optimal control problems for a mathematical model of the treatment of psoriasis ⋮ Mathematical insights on psoriasis regulation: role of \(\mathrm{Th}_{1}\) and \(\mathrm{Th}_{2}\) cells ⋮ A MODEL OF THE OPTIMAL IMMUNOTHERAPY OF PSORIASIS BY INTRODUCING IL-10 AND IL-22 INHIBITORS ⋮ On a third-order singular arc of optimal control in a minimization problem for a mathematical model of psoriasis treatment ⋮ Modelling of indirect cell-cell interaction networks mediated by IFN\(\gamma\)/IL-4 cytokine involved in atopic dermatitis

Cites Work

• An age-structured model of epidermis growth
• Finite Time Controllers
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Finite-Time Stability of Continuous Autonomous Systems

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