A Delay-Based Sustained Chemical Oscillator: Qualitative Analysis of Oregonator-Based Models - Archive ouverte HAL Access content directly
Journal Articles IEEE Life Sciences Letters Year : 2017

A Delay-Based Sustained Chemical Oscillator: Qualitative Analysis of Oregonator-Based Models

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Abstract

Belousov-Zhabotinskii reaction is a complicated chemical oscillator exhibits temporal and spatiotemporal behaviours that quantitatively match some rhythmic behaviours in biological systems. Its important features are covered by a simple irreversible mechanism, called the Oregonator. By taking into account the physical constraints and to describe the mechanism with a fewer variables, two-delays Oregonator based model is considered in order to investigate the delay effects in chemical reactions exhibiting sustained oscillations. It is shown that the solutions of the model, obtained by use of the delay-mass action kinetics, are positive and bounded. By utilizing the asymptotic stability properties of the model which exhibits positive and bounded solutions, a positive invariant set for the solutions is described. Numerical results are presented to compare with the existing solutions which are qualitatively matches with the experimental results.
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Dates and versions

hal-01656725 , version 1 (17-12-2018)

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Hakki Ulas Unal, Islam Boussaada, Silviu-Iulian Niculescu. A Delay-Based Sustained Chemical Oscillator: Qualitative Analysis of Oregonator-Based Models. IEEE Life Sciences Letters, 2017, 3 (3), pp.9 - 12. ⟨10.1109/LLS.2017.2756834⟩. ⟨hal-01656725⟩
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