Stochastic stability and observer design for the lac operon model

Asma Ahmed Ben Halim, Krishna Busawon, Maia Angelova

Research output: Contribution to conferencePaperpeer-review

Abstract

The aim of this study is to investigate the stability properties of a model of the lac operon enhanced with stochastic perturbations. New sufficient conditions of exponential mean square stability are obtained analytically for this model and threshold values derived. For regulatory networks, an observer method for the dynamic of the lac operon model is employed, that uses the measured input and output of the model, to estimate proteins concentration that cannot be easily measured experimentally. Numerical investigations of the bistability and the observer are performed with respect to lactose concentration and noise terms. We demonstrate that the noise affects the behaviour in the bistable region.
Original languageEnglish
Publication statusPublished - 31 Aug 2015
Event3rd International Conference on Control, Engineering and Information Technology, CEIT 2015 - Tlemcen, Algeria, Tlemcen, Algeria
Duration: 25 May 201527 May 2015

Conference

Conference3rd International Conference on Control, Engineering and Information Technology, CEIT 2015
CountryAlgeria
CityTlemcen
Period25/05/1527/05/15

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