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Literature DB >> 19003457

Robust stability of genetic regulatory networks with distributed delay.

Abstract

This paper investigates robust stability of genetic regulatory networks with distributed delay. Different from other papers, distributed delay is induced. It says that the concentration of macromolecule depends on an integral of the regulatory function of over a specified range of previous time, which is more realistic. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions for genetic regulatory networks to be global asymptotic stability and robust stability are derived in terms of LMI. Two numerical examples are given to illustrate the effectiveness of our theoretical results.

Year: 2008 PMID： 19003457 PMCID： PMC2585616 DOI： 10.1007/s11571-008-9062-0

Source DB: PubMed Journal: Cogn Neurodyn ISSN： 1871-4080 Impact factor: 5.082

11 in total

1. Construction of a genetic toggle switch in Escherichia coli.

Authors: T S Gardner; C R Cantor; J J Collins
Journal: Nature Date: 2000-01-20 Impact factor: 49.962

2. A synthetic oscillatory network of transcriptional regulators.

Authors: M B Elowitz; S Leibler
Journal: Nature Date: 2000-01-20 Impact factor: 49.962

Review 3. Modeling transcriptional control in gene networks--methods, recent results, and future directions.

Authors: P Smolen; D A Baxter; J H Byrne
Journal: Bull Math Biol Date: 2000-03 Impact factor: 1.758

4. Engineering stability in gene networks by autoregulation.

Authors: A Becskei; L Serrano
Journal: Nature Date: 2000-06-01 Impact factor: 49.962

Review 5. Mathematical modeling of gene networks.

Authors: P Smolen; D A Baxter; J H Byrne
Journal: Neuron Date: 2000-06 Impact factor: 17.173

Review 6. Modeling and simulation of genetic regulatory systems: a literature review.

Authors: Hidde de Jong
Journal: J Comput Biol Date: 2002 Impact factor: 1.479

7. A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator.

Authors: Paul Smolen; Douglas A Baxter; John H Byrne
Journal: Biophys J Date: 2002-11 Impact factor: 4.033

8. Oscillatory expression of Hes1, p53, and NF-kappaB driven by transcriptional time delays.

Authors: Nicholas A M Monk
Journal: Curr Biol Date: 2003-08-19 Impact factor: 10.834

9. Dispersion and time delay effects in synchronized spike-burst networks.

Authors: Viktor K Jirsa
Journal: Cogn Neurodyn Date: 2007-10-16 Impact factor: 5.082

10. Robust emergence of small-world structure in networks of spiking neurons.

Authors: Hoi Fei Kwok; Peter Jurica; Antonino Raffone; Cees van Leeuwen
Journal: Cogn Neurodyn Date: 2007-03 Impact factor: 5.082

9 in total

1. Robust stability of stochastic delayed genetic regulatory networks.

Authors: Zhengxia Wang; Guodong Liu; Yanhong Sun; Hongli Wu
Journal: Cogn Neurodyn Date: 2009-07-30 Impact factor: 5.082

2. Mean square exponential and robust stability of stochastic discrete-time genetic regulatory networks with uncertainties.

Authors: Qian Ye; Baotong Cui
Journal: Cogn Neurodyn Date: 2010-02-13 Impact factor: 5.082

Robust stability of genetic regulatory networks with distributed delay.

1. Construction of a genetic toggle switch in Escherichia coli.

2. A synthetic oscillatory network of transcriptional regulators.

Review 3. Modeling transcriptional control in gene networks--methods, recent results, and future directions.

4. Engineering stability in gene networks by autoregulation.

Review 5. Mathematical modeling of gene networks.

Review 6. Modeling and simulation of genetic regulatory systems: a literature review.

7. A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator.

8. Oscillatory expression of Hes1, p53, and NF-kappaB driven by transcriptional time delays.

9. Dispersion and time delay effects in synchronized spike-burst networks.

10. Robust emergence of small-world structure in networks of spiking neurons.

1. Robust stability of stochastic delayed genetic regulatory networks.

2. Mean square exponential and robust stability of stochastic discrete-time genetic regulatory networks with uncertainties.

3. Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations.

4. Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays.

5. PCA based population generation for genetic network optimization.

6. Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching.

7. Evaluating influence of microRNA in reconstructing gene regulatory networks.

8. Stochastic S-system modeling of gene regulatory network.

Review 9. Time-Delayed Models of Gene Regulatory Networks.