Self-sustained oscillations of complex genomic regulatory networks

2010 ◽  
Vol 374 (25) ◽  
pp. 2521-2526 ◽  
Author(s):  
Weiming Ye ◽  
Xiaodong Huang ◽  
Xuhui Huang ◽  
Pengfei Li ◽  
Qinzhi Xia ◽  
...  
Keyword(s):  
Regulatory Networks ◽  
Sustained Oscillations ◽  
Genomic Regulatory Networks

scholarly journals On attracting sets in artificial networks: cross activation

2018 ◽  
Vol 16 ◽  
pp. 01005
Author(s):  
Felix Sadyrbaev
Keyword(s):  
Dynamical Systems ◽  
Differential Equations ◽  
Mathematical Models ◽  
Ordinary Differential Equations ◽  
Critical Points ◽  
Regulatory Networks ◽  
Main Diagonal ◽  
Sigmoidal Function ◽  
Genomic Regulatory Networks ◽  
Over Time

Mathematical models of artificial networks can be formulated in terms of dynamical systems describing the behaviour of a network over time. The interrelation between nodes (elements) of a network is encoded in the regulatory matrix. We consider a system of ordinary differential equations that describes in particular also genomic regulatory networks (GRN) and contains a sigmoidal function. The results are presented on attractors of such systems for a particular case of cross activation. The regulatory matrix is then of particular form consisting of unit entries everywhere except the main diagonal. We show that such a system can have not more than three critical points. At least n–1 eigenvalues corresponding to any of the critical points are negative. An example for a particular choice of sigmoidal function is considered.

scholarly journals Degradation rate uniformity determines success of oscillations in repressive feedback regulatory networks

2018 ◽  
Vol 15 (142) ◽  
pp. 20180157 ◽  
Author(s):  
Karen M. Page ◽  
Ruben Perez-Carrasco
Keyword(s):  
Regulatory Networks ◽  
Oscillatory Behaviour ◽  
Sustained Oscillations ◽  
Degradation Rates ◽  
Number Of Genes ◽  
Computational Exploration ◽  
The Stability ◽  
Regulatory Functions ◽  
Insight Into

Ring oscillators are biochemical circuits consisting of a ring of interactions capable of sustained oscillations. The nonlinear interactions between genes hinder the analytical insight into their function, usually requiring computational exploration. Here, we show that, despite the apparent complexity, the stability of the unique steady state in an incoherent feedback ring depends only on the degradation rates and a single parameter summarizing the feedback of the circuit. Concretely, we show that the range of regulatory parameters that yield oscillatory behaviour is maximized when the degradation rates are equal. Strikingly, this result holds independently of the regulatory functions used or number of genes. We also derive properties of the oscillations as a function of the degradation rates and number of nodes forming the ring. Finally, we explore the role of mRNA dynamics by applying the generic results to the specific case with two naturally different degradation timescales.

scholarly journals Genomic Regulatory Networks and Animal Development

2005 ◽  
Vol 9 (4) ◽  
pp. 449-462 ◽  
Author(s):  
Angelike Stathopoulos ◽  
Michael Levine
Keyword(s):  
Regulatory Networks ◽  
Animal Development ◽  
Genomic Regulatory Networks

scholarly journals Genes and chromosomes: control of development

2004 ◽  
Vol 76 (3) ◽  
pp. 529-540 ◽  
Author(s):  
Oleg Serov ◽  
Irina Serova
Keyword(s):  
Gene Expression ◽  
Molecular Basis ◽  
Regulatory Networks ◽  
Interphase Nucleus ◽  
Developmental Regulation ◽  
Hierarchical Control ◽  
Epigenetic Inheritance ◽  
The Past ◽  
Genomic Regulatory Networks ◽  
Chromosome Level

The past decade has witnessed immense progress in research into the molecular basis behind the developmental regulation of genes. Sets of genes functioning under hierarchical control have been identified, evolutionary conserved systems of genes effecting the cell-to-cell transmission of transmembrane signals and assigned a central role in morphogenesis have been intensively studied; the concept of genomic regulatory networks coordinating expression of many genes has been introduced, to mention some of the major breakthroughs. It should be noted that the temporal and tissue-specific parameters of gene expression are correctly regulated in development only in the context of the chromosome and that they are to a great extent dependent on the position of the gene on the chromosome or the interphase nucleus. Moreover epigenetic inheritance of the gene states through successive cell generations has been conducted exclusively at the chromosome level by virtue of cell or chromosome memory. The ontogenetic memory is an inherent property of the chromosome and cis-regulation has a crucial role in its maintenance.

scholarly journals Conservation patterns’ analysis of 18,364 candidate human-specific regulatory sequences revealed two distinct pathways of the human regulatory DNA divergence

2015 ◽  
Author(s):  
Gennadi Glinsky
Keyword(s):  
Transposable Elements ◽  
Regulatory Networks ◽  
Homo Sapiens ◽  
Functional Divergence ◽  
Regulatory Sequences ◽  
Conservation Patterns ◽  
Genomic Regulatory Networks ◽  
Species Specific ◽  
Regulatory Dna ◽  
Human Specific

Thousands of candidate human-specific regulatory sequences (HSRS) have been identified, supporting the idea that unique to human phenotypes result from human-specific alterations of genomic regulatory networks. Here, conservation patterns analysis of 18,364 regulatory DNA segments comprising candidate HSRS was carried out using the most recent releases of the reference genomes’ databases of humans and nonhuman primates (NHP) and defining the sequence conservation threshold as the minimum ratio of bases that must remap of 1.00. Present analyses identified 5,535 candidate HSRS defined by either the acceleration of mutation rates on the human lineage or the functional divergence from chimpanzee that are highly conserved in NHP and appear to evolve by the exaptation of ancestral DNA pathway. This pathway seems mechanistically distinct from the evolution of regulatory DNA driven by the species-specific expansion of transposable elements. It is proposed that phenotypic divergence of Homo sapiens is driven by the evolution of human-specific genomic regulatory networks via at least two mechanistically distinct pathways of creation of divergent sequences of regulatory DNA: i) exaptation of the highly conserved ancestral regulatory DNA segments; ii) human-specific insertions of transposable elements.

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