Stochastic stability and observer design for the lac operon model

Asma Ahmed Ben Halim; Krishna Busawon; Maia Angelova

Stochastic stability and observer design for the lac operon model

Asma Ahmed Ben Halim, Krishna Busawon, Maia Angelova

Mathematics, Physics and Electrical Engineering

Research output: Contribution to conference › Paper › peer-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 language	English
Publication status	Published - 31 Aug 2015
Event	3rd International Conference on Control, Engineering and Information Technology, CEIT 2015 - Tlemcen, Algeria, Tlemcen, Algeria Duration: 25 May 2015 → 27 May 2015

Conference

Conference	3rd International Conference on Control, Engineering and Information Technology, CEIT 2015
Country/Territory	Algeria
City	Tlemcen
Period	25/05/15 → 27/05/15

Cite this

@conference{86f949941af4446fb2ac6ac8f609f111,

title = "Stochastic stability and observer design for the lac operon model",

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.",

author = "{Ben Halim}, {Asma Ahmed} and Krishna Busawon and Maia Angelova",

year = "2015",

month = aug,

day = "31",

language = "English",

note = "3rd International Conference on Control, Engineering and Information Technology, CEIT 2015 ; Conference date: 25-05-2015 Through 27-05-2015",

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TY - CONF

T1 - Stochastic stability and observer design for the lac operon model

AU - Ben Halim, Asma Ahmed

AU - Busawon, Krishna

AU - Angelova, Maia

PY - 2015/8/31

Y1 - 2015/8/31

N2 - 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.

AB - 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.

M3 - Paper

T2 - 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015

Y2 - 25 May 2015 through 27 May 2015

ER -

Stochastic stability and observer design for the lac operon model

Abstract

Conference

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