Dynamics of microRNA regulation of cancer network

Svetoslav Nikolov; Julio Vera; Ralf Herwig; Olaf Wolkenhauer; Valko Petrov

Dynamics of microRNA regulation of cancer network

Svetoslav Nikolov^*
, Julio Vera
, Ralf Herwig
, Olaf Wolkenhauer
, Valko Petrov

^*Corresponding author for this work

Institute of Mechanics Bulgarian Academy of Sciences
University of Rostock
Max Planck Institute for Molecular Genetics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

By using a mathematical representations of the microRNA (miRNA) interaction cancer network we derive explicit conditions on how the dynamics of a time delay model of the interaction between the miRNA-17-92 cluster and the transcription factors E2F and Myc depends on systems parameters. Our analysis reveals the complex behaviour of the system. We compute the occurrence of a limit cycle after an Andronov-Hopf bifurcation for the time delay parameter and show that the analytical results agree with numerical simulations, i.e. the time delay has a stabilization role.

Original language	English
Pages (from-to)	61-70
Number of pages	10
Journal	Comptes Rendus de L'Academie Bulgare des Sciences
Volume	63
Issue number	1
State	Published - 2010
Externally published	Yes

Keywords

MicroRNA regulation
Stability analysis
Time delay model

Cite this

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abstract = "By using a mathematical representations of the microRNA (miRNA) interaction cancer network we derive explicit conditions on how the dynamics of a time delay model of the interaction between the miRNA-17-92 cluster and the transcription factors E2F and Myc depends on systems parameters. Our analysis reveals the complex behaviour of the system. We compute the occurrence of a limit cycle after an Andronov-Hopf bifurcation for the time delay parameter and show that the analytical results agree with numerical simulations, i.e. the time delay has a stabilization role.",

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AU - Nikolov, Svetoslav

AU - Vera, Julio

AU - Herwig, Ralf

AU - Wolkenhauer, Olaf

AU - Petrov, Valko

PY - 2010

Y1 - 2010

N2 - By using a mathematical representations of the microRNA (miRNA) interaction cancer network we derive explicit conditions on how the dynamics of a time delay model of the interaction between the miRNA-17-92 cluster and the transcription factors E2F and Myc depends on systems parameters. Our analysis reveals the complex behaviour of the system. We compute the occurrence of a limit cycle after an Andronov-Hopf bifurcation for the time delay parameter and show that the analytical results agree with numerical simulations, i.e. the time delay has a stabilization role.

AB - By using a mathematical representations of the microRNA (miRNA) interaction cancer network we derive explicit conditions on how the dynamics of a time delay model of the interaction between the miRNA-17-92 cluster and the transcription factors E2F and Myc depends on systems parameters. Our analysis reveals the complex behaviour of the system. We compute the occurrence of a limit cycle after an Andronov-Hopf bifurcation for the time delay parameter and show that the analytical results agree with numerical simulations, i.e. the time delay has a stabilization role.

KW - MicroRNA regulation

KW - Stability analysis

KW - Time delay model

UR - https://www.scopus.com/pages/publications/76749083080

M3 - Article

AN - SCOPUS:76749083080

SN - 1310-1331

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JO - Comptes Rendus de L'Academie Bulgare des Sciences

JF - Comptes Rendus de L'Academie Bulgare des Sciences

IS - 1

ER -

Dynamics of microRNA regulation of cancer network

Abstract

Keywords

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