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  1. 4 Zhdanov V.

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Non-coding RNAs and complex distributed genetic networks

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Zhdanov V.
Open Physics
|
2011
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vol. 9
|
issue 4
909-918
EN
In eukaryotic cells, the mRNA-protein interplay can be dramatically influenced by non-coding RNAs (ncRNAs). Although this new paradigm is now widely accepted, an understanding of the effect of ncRNAs on complex genetic networks is lacking. To clarify what may happen in this case, we propose a mean-field kinetic model describing the influence of ncRNA on a complex genetic network with a distributed architecture including mutual protein-mediated regulation of many genes transcribed into mRNAs. ncRNA is considered to associate with mRNAs and inhibit their translation and/or facilitate degradation. Our results are indicative of the richness of the kinetics under consideration. The main complex features are found to be bistability and oscillations. One could expect to find kinetic chaos as well. The latter feature has however not been observed in our calculations. In addition, we illustrate the difference in the regulation of distributed networks by mRNA and ncRNA.
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Two novel aspects of the kinetics of gene expression including miRNAs

100%
Zhdanov V.
Open Physics
|
2013
|
vol. 11
|
issue 4
448-456
EN
In eukaryotic cells, many genes are transcribed into non-coding RNAs. Small RNAs or, more specifically, microRNAs (miRNAs) form an abundant sub-class of such RNAs. miRNAs are transcribed as long noncoding RNA and then generated via a processing pathway down to the 20–24-nucleotide length. The key ability of miRNAs is to associate with target mRNAs and to suppress their translation and/or facilitate degradation. Using the mean-field kinetic equations and Monte Carlo simulations, we analyze two aspects of this interplay. First, we describe the situation when the formation of mRNA or miRNA is periodically modulated by a transcription factor which itself is not perturbed by these species. Depending on the ratio between the mRNA and miRNA formation rates, the corresponding induced periodic kinetics are shown to be either nearly harmonic or shaped as anti-phase pulses. The second part of the work is related to recent experimental studies indicating that differentiation of stem cells often involves changes in gene transcription into miRNAs and/or the interference between miRNAs, mRNAs and proteins. In particular, the regulatory protein obtained via mRNA translation may suppress the miRNA formation, and the latter may suppress in turn the miRNA-mRNA association and degradation. The corresponding bistable kinetics are described in detail.
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Localized mRNA translation and protein association

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Zhdanov V.
Open Physics
|
2014
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vol. 12
|
issue 8
603-609
EN
Recent direct observations of localization of mRNAs and proteins both in prokaryotic and eukaryotic cells can be related to slowdown of diffusion of these species due to macromolecular crowding and their ability to aggregate and form immobile or slowly mobile complexes. Here, a generic kinetic model describing both these factors is presented and comprehensively analyzed. Although the model is non-linear, an accurate self-consistent analytical solution of the corresponding reaction-diffusion equation has been constructed, the types of localized protein distributions have been explicitly shown, and the predicted kinetic regimes of gene expression have been classified.
4
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A generic 3D kinetic model of gene expression

100%
Zhdanov V.
Open Physics
|
2012
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vol. 10
|
issue 2
533-537
EN
Recent experiments show that mRNAs and proteins can be localized both in prokaryotic and eukaryotic cells. To describe such situations, I present a 3D mean-field kinetic model aimed primarily at gene expression in prokaryotic cells, including the formation of mRNA, its translation into protein, and slow diffusion of these species. Under steady-state conditions, the mRNA and protein spatial distribution is described by simple exponential functions. The protein concentration near the gene transcribed into mRNA is shown to depend on the protein and mRNA diffusion coefficients and degradation rate constants.
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