Predictive Dynamical Modelling MicroRNAs Role in Complex Networks

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Author(s): Elena V. Nikolova (Bulgarian Academy of Sciences, Bulgaria), Ralf Herwig (Max Planck Institute for Molecular Genetics, Germany), Svetoslav G. Nikolov (Bulgarian Academy of Sciences, Bulgaria)and Valko G. Petrov (Bulgarian Academy of Sciences, Bulgaria)
Copyright: 2011
Pages: 37
Source title: Digital Forensics for the Health Sciences: Applications in Practice and Research
Source Author(s)/Editor(s): Andriani Daskalaki (Max Planck Institute for Molecular Genetics, Germany)
DOI: 10.4018/978-1-60960-483-7.ch008

Keywords: Digital Crime & Forensics / Health Information Systems / Medical Information Science Reference / Security & Forensics

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Abstract

The aim of this chapter is to give an extended analytical consideration of mathematical modelling of the microRNA role in cancer networks. For this purpose, ordinary and partial differential equations are used for synthesizing and analyzing the models of gene, microRNAs and mRNAs concentration alterations as time-dependent variables related by functional and differential relations. The architecture of the models and the definitions of their components are inspired by the qualitative theory of differential equations. This chapter’s analysis shows that it is able to ensure the authenticity and validity of the following qualitative conclusions: (a) the rates of protein production decrease with the increasing constant production rate of microRNA at microRNA-mediated target regulation on mRNAs; (b) time delay has a stabilizing role in the interaction between the miRNA-17-92 cluster and the transcription factors E2F and Myc.

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Predictive Dynamical Modelling MicroRNAs Role in Complex Networks

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