Piecewise-linear Models of Genetic Regulatory Networks: Equilibria and their Stability

Journal of Mathematical Biology ◽

10.1007/s00285-005-0338-2 ◽

2005 ◽

Vol 52 (1) ◽

pp. 27-56 ◽

Author(s):

Richard Casey ◽

Hidde de Jong ◽

Jean-Luc Gouzé

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Genetic Regulatory Networks ◽

Piecewise Linear Models

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Faculty Opinions recommendation of Qualitative simulation of genetic regulatory networks using piecewise-linear models.

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

10.3410/f.1017732.203394 ◽

2004 ◽

Author(s):

Elena Alvarez-Buylla

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Genetic Regulatory Networks ◽

Qualitative Simulation ◽

Piecewise Linear Models

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Piecewise-Linear Models of Genetic Regulatory Networks: Analysis of the Carbon Starvation Response in Escherichia coli

Mathematical Modeling of Biological Systems - Modeling and Simulation in Science, Engineering and Technology ◽

10.1007/978-0-8176-4558-8_8 ◽

2007 ◽

pp. 83-95

Author(s):

Delphine Ropers ◽

Hidde de Jong ◽

Jean-Luc Gouzé ◽

Michel Page ◽

Dominique Schneider ◽

...

Keyword(s):

Escherichia Coli ◽

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Carbon Starvation ◽

Genetic Regulatory Networks ◽

Starvation Response ◽

Networks Analysis ◽

Piecewise Linear Models

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Stability of Equilibria for Piecewise-linear Models of Genetic Regulatory Networks

Proceedings of the 44th IEEE Conference on Decision and Control ◽

10.1109/cdc.2005.1582736 ◽

2006 ◽

Author(s):

R. Casey ◽

H. de Jong ◽

J. Gouze

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Genetic Regulatory Networks ◽

Stability Of Equilibria ◽

Piecewise Linear Models

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Structural Identification of Piecewise-Linear Models of Genetic Regulatory Networks

Journal of Computational Biology ◽

10.1089/cmb.2008.0109 ◽

2008 ◽

Vol 15 (10) ◽

pp. 1365-1380 ◽

Author(s):

Riccardo Porreca ◽

Samuel Drulhe ◽

Hidde de Jong ◽

Giancarlo Ferrari-Trecate

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Structural Identification ◽

Genetic Regulatory Networks ◽

Piecewise Linear Models

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Qualitative simulation of genetic regulatory networks using piecewise-linear models

Bulletin of Mathematical Biology ◽

10.1016/j.bulm.2003.08.010 ◽

2004 ◽

Vol 66 (2) ◽

pp. 301-340 ◽

Author(s):

H DEJONG ◽

J GOUZE ◽

C HERNANDEZ ◽

M PAGE ◽

T SARI ◽

...

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Genetic Regulatory Networks ◽

Qualitative Simulation ◽

Piecewise Linear Models

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Stability of piecewise-linear models of genetic regulatory networks

Chinese Physics B ◽

10.1088/1674-1056/20/10/108701 ◽

2011 ◽

Vol 20 (10) ◽

pp. 108701 ◽

Author(s):

Peng Lin ◽

Kai-Yu Qin ◽

Hai-Yan Wu

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Genetic Regulatory Networks ◽

Piecewise Linear Models

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Piecewise-Linear Models of Genetic Regulatory Networks: Theory and Example

Biology and Control Theory: Current Challenges - Lecture Notes in Control and Information Sciences ◽

10.1007/978-3-540-71988-5_7 ◽

2007 ◽

pp. 137-159 ◽

Author(s):

Frédéric Grognard ◽

Hidde de Jong ◽

Jean-Luc Gouzé

Keyword(s):

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Genetic Regulatory Networks ◽

Piecewise Linear Models

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Differential Inclusions and Filippov Solutions in the Analysis of Piecewise Linear Models Describing Gene Regulatory Networks

10.1063/1.3241464 ◽

2009 ◽

Author(s):

Anna Machina ◽

Arcadi Ponossov ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Differential Inclusions ◽

Linear Models ◽

Piecewise Linear ◽

Filippov Solutions ◽

Gene Regulatory ◽

Piecewise Linear Models

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On the Equivalence between the Sigmoidal Approach and Utkin's Approach for Piecewise-Linear Models of Gene Regulatory Networks

SIAM Journal on Applied Dynamical Systems ◽

10.1137/130950483 ◽

2014 ◽

Vol 13 (3) ◽

pp. 1270-1292 ◽

Author(s):

Nicoletta Del Buono ◽

Cinzia Elia ◽

Luciano Lopez

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Gene Regulatory ◽

Piecewise Linear Models

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Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks

Nonlinear Analysis ◽

10.1016/j.na.2010.09.039 ◽

2011 ◽

Vol 74 (3) ◽

pp. 882-900 ◽

Author(s):

Anna Machina ◽

Arcady Ponosov

Keyword(s):

Gene Regulatory Networks ◽

Regulatory Networks ◽

Linear Models ◽

Piecewise Linear ◽

Filippov Solutions ◽

Gene Regulatory ◽

Piecewise Linear Models

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