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1
Content available remote

Non-coding RNAs and complex distributed genetic networks

100%
Zhdanov V.
Open Physics
|
2011
|
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.
2
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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.
3
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Localized mRNA translation and protein association

100%
Zhdanov V.
Open Physics
|
2014
|
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
Content available remote

A generic 3D kinetic model of gene expression

100%
Zhdanov V.
Open Physics
|
2012
|
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.
5
Content available remote

Inhibition of the receptor-mediated virion attachment to a lipid membrane

100%
Zhdanov V.
Open Physics
|
2012
|
vol. 10
|
issue 5
1210-1215
EN
The forefront of the anti-viral defence is sometimes aimed at virion attachment to a host membrane. This step or, more specifically, virion contacts with cellular membrane receptors (or, e.g., glycolipids) can be inhibited by antibodies (or specially chosen or designed compounds) via their association with virions. In this case, the full-scale attachment of virions to a host membrane occurs via a subtle interplay of the formation and rupture of multiple virion-inhibitor and virion-receptor bonds. We present a kinetic model describing this interplay and illustrating general trends in the process under consideration.
6
Content available remote

Non-coding RNAs and a layered architecture of genetic networks

100%
Zhdanov V.
Open Physics
|
2010
|
vol. 8
|
issue 6
864-872
EN
In eukaryotic cells, protein-coding sequences constitute a relatively small part of the genome. The rest of the genome is transcribed to non-coding RNAs (ncRNAs). Such RNAs form the cornerstone of a regulatory network that operates in parallel with the protein network. Their biological functions are based primarily on the ability to pair with and deactivate target messenger RNAs (mRNAs). To clarify the likely role of ncRNAs in complex genetic networks, we present and comprehensively analyze a kinetic model of one of the key counterparts of the network architectures. Specifically, the genes transcribed to ncRNAs are considered to interplay with a hierarchical two-layer set of genes transcribed to mRNAs. The genes forming the bottom layer are regulated from the top and negatively self-regulated. If the former regulation is positive, the dependence of the RNA populations on the governing parameters is found to be often non-monotonous. Specifically, the model predicts bistability. If the regulation is negative, the dependence of the RNA populations on the governing parameters is monotonous. In particular, the population of the mRNAs, corresponding to the genes forming the bottom layer, is nearly constant.
7
Content available remote

Interplay of viral miRNAs and host mRNAs and proteins

100%
Zhdanov V.
Open Physics
|
2011
|
vol. 9
|
issue 5
1366-1371
EN
Recent experiments indicate that several viruses may encode microRNAs (miRNAs) in cells. Such RNAs may interfere with the host mRNAs and proteins. We present a kinetic analysis of this interplay. In our treatment, the viral miRNA is considered to be able to associate with the host mRNA with subsequent degradation. This process may result in a decline of the mRNA population and also in a decline of the population of the protein encoded by this mRNA. With these ingredients, we first show the types of the corresponding steady-state kinetics in the cases of positive and negative regulation of the miRNA synthesis by the protein. In addition, we scrutinize the situation when the protein regulates the virion replication or, in other words, provides a feedback for the replication. For the negative feedback, the replication rate is found to increase with increasing the intracellular virion population. For the positive feedback, the replication rate first increases and then drops. These features may determine the stability of steady states.
8
Content available remote

Kinetics of the maintenance of the epidermis

64%
Zhdanov V., Cho N.-J.
Open Physics
|
2013
|
vol. 11
|
issue 8
1016-1023
EN
The epidermis is the outermost layer of skin. It is comprised of keratin-containing cells called keratinocytes. Functionally, the epidermis serves as a physical barrier that can prevent infection and regulate body hydration. Maintenance and repair of the epidermis are important for human health. Mechanistically, these processes occur primarily via proliferation and differentiation of stem cells located in the basal monolayer. These processes are believed to depend on cell-cell communication and spatial constraints but existing kinetic models focus mainly on proliferation and differentiation. To address this issue, we present a mean-field kinetic model that takes these additional factors into account and describes the epidermis at a biosystem level. The corresponding equations operate with the populations of stem cells and differentiated cells in the basal layer. The keratinocytes located above the basal layer are treated at a more coarse-grained level by considering the thickness of the epidermis. The model clarifies the likely role of various negative feedbacks that may control the epidermis and, accordingly, provides insight into the cellular mechanisms underlying complex biological phenomena such as wound healing.
9
Content available remote

Simulation of dissociation of DNA duplexes attached to the surface

51%
Zhdanov V., Gunnarsson A., Höök F.
Open Physics
|
2010
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vol. 8
|
issue 6
883-892
EN
We present Monte Carlo simulations of dissociation of duplexes formed of complementary single-stranded DNAs with one of the strands attached to the surface. To describe the transition from the bound state to the unbound state of two strands located nearby, we use a lattice model taking DNA base-pair interactions and comformational changes into account. The results obtained are employed as a basis for a more coarse-grained model including strand backward association and diffusion resulting in complete dissociation. The distribution of the dissociation time is found to be exponential. This finding indicates that the non-exponential kinetic features observed in the corresponding experiments seem to be related to extrinsic factors, e.g., to the surface heterogeneity.
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