On Convergence for Piecewise Affine Models of Gene Regulatory Networks via a Lyapunov Approach

IEEE Transactions on Automatic Control ◽

10.1109/tac.2019.2945214 ◽

2020 ◽

Vol 65 (8) ◽

pp. 3333-3348

Author(s):

Mirko Pasquini ◽

David Angeli

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Lyapunov Approach ◽

Piecewise Affine ◽

Affine Models ◽

Gene Regulatory

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On piecewise quadratic Lyapunov functions for piecewise affine models of gene regulatory networks

2018 IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2018.8618671 ◽

2018 ◽

Author(s):

Mirko Pasquini ◽

David Angeli

Keyword(s):

Gene Regulatory Networks ◽

Lyapunov Functions ◽

Regulatory Networks ◽

Piecewise Affine ◽

Affine Models ◽

Quadratic Lyapunov Functions ◽

Gene Regulatory

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Hierarchical analysis of piecewise affine models of gene regulatory networks

Theory in Biosciences ◽

10.1007/s12064-008-0035-y ◽

2008 ◽

Vol 127 (2) ◽

pp. 125-134 ◽

Author(s):

Laurent Tournier ◽

Jean-Luc Gouzé

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Hierarchical Analysis ◽

Piecewise Affine ◽

Affine Models ◽

Gene Regulatory

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Time-optimal control of piecewise affine bistable gene-regulatory networks: preliminary results

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.08.499 ◽

2021 ◽

Vol 54 (5) ◽

pp. 205-210

Author(s):

Nicolas Augier ◽

Agustín Gabriel Yabo

Keyword(s):

Optimal Control ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Time Optimal Control ◽

Preliminary Results ◽

Piecewise Affine ◽

Time Optimal ◽

Gene Regulatory

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Comparing Discrete and Piecewise Affine Differential Equation Models of Gene Regulatory Networks

Information Processign in Cells and Tissues - Lecture Notes in Computer Science ◽

10.1007/978-3-642-28792-3_3 ◽

2012 ◽

pp. 17-24 ◽

Author(s):

Shahrad Jamshidi ◽

Heike Siebert ◽

Alexander Bockmayr

Keyword(s):

Differential Equation ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Piecewise Affine ◽

Differential Equation Models ◽

Gene Regulatory

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Stability of stationary solutions of piecewise affine differential equations describing gene regulatory networks

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.02.034 ◽

2011 ◽

Vol 380 (2) ◽

pp. 736-749 ◽

Author(s):

Anna Machina ◽

Arcady Ponosov

Keyword(s):

Differential Equations ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Stationary Solutions ◽

Piecewise Affine ◽

Gene Regulatory

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Guaranteed Cost Control for Uncertain Gene Regulatory Networks with Interval Time-Varying Discrete Delays and Constant Distributed Delays

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9189156 ◽

2020 ◽

Author(s):

Zhiwei Zhang ◽

Heng Liu ◽

Xinyue Zhang ◽

Yantao Wang ◽

Xian Zhang

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Cost Control ◽

Guaranteed Cost Control ◽

Distributed Delays ◽

Time Varying ◽

Interval Time ◽

Guaranteed Cost ◽

Discrete Delays ◽

Gene Regulatory

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Gene regulatory networks

Physics Subject Headings (PhySH) ◽

10.29172/b42c75b9b89345c3bf012539026851d0 ◽

2018 ◽

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Gene Regulatory

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Faculty Opinions recommendation of A common set of gene regulatory networks links metabolism and growth inhibition.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.1019244.254628 ◽

2004 ◽

Author(s):

Cheng-Ming Chiang

Keyword(s):

Growth Inhibition ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Gene Regulatory

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Faculty Opinions recommendation of Evolution of evolvability in gene regulatory networks.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.1118830.574921 ◽

2008 ◽

Author(s):

Panayiotis Benos

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Gene Regulatory

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Faculty Opinions recommendation of Comparing different ODE modelling approaches for gene regulatory networks.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.1168106.630230 ◽

2009 ◽

Author(s):

Philip Maini ◽

Alexander Fletcher

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Gene Regulatory ◽

Modelling Approaches

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