ArticleEURASIP journal on bioinformatics & systems biology2009
Origins of stochasticity and burstiness in high-dimensional biochemical networks.
Article in EURASIP journal on bioinformatics & systems biology, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Global consensus theorem and self-organized criticality: unifying principles for understanding self-organization, swarm intelligence and mechanisms of carcinogenesis.Gene regulation and systems biology · 2013Article
- Are the somatic mutation and tissue organization field theories of carcinogenesis incompatible?Cancer informatics · 2013Article
- Mathematical descriptions of biochemical networks: stability, stochasticity, evolution.Progress in biophysics and molecular biology · 2011Review
- Critical self-organized self-sustained oscillations in large regulatory networks: towards understanding the gene expression initiation.Gene regulation and systems biology · 2011Article
- Biomolecular self-defense and futility of high-specificity therapeutic targeting.Gene regulation and systems biology · 2011Article
- Do DNA microarrays tell the story of gene expression?Gene regulation and systems biology · 2010Article
- Characteristics of transcriptional activity in nonlinear dynamics of genetic regulatory networks.Gene regulation and systems biology · 2009Article
- Patterns of stochastic behavior in dynamically unstable high-dimensional biochemical networks.Gene regulation and systems biology · 2009Article
- Systems biology and cancer prevention: all options on the table.Gene regulation and systems biology · 2008Article
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Authors and funding
1 author.
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Abstract
Two major approaches are known in the field of stochastic dynamics of intracellular biochemical networks. The first one places the focus of attention on the fact that many biochemical constituents vitally important for the network functionality may be present only in small quantities within the cell, and therefore the regulatory process is essentially discrete and prone to relatively big fluctuations. The second approach treats the regulatory process as essentially continuous. Complex pseudostochastic behavior in such processes may occur due to multistability and oscillatory motions within limit cycles. In this paper we outline the third scenario of stochasticity in the regulatory process. This scenario is only conceivable in high-dimensional highly nonlinear systems. In particular, we show that burstiness, a well-known phenomenon in the biology of gene expression, is a natural consequence of high dimensionality coupled with high nonlinearity. In mathematical terms, burstiness is associated with heavy-tailed probability distributions of stochastic processes describing the dynamics of the system. We demonstrate how the "shot" noise originates from purely deterministic behavior of the underlying dynamical system. We conclude that the limiting stochastic process may be accurately approximated by the "heavy-tailed" generalized Pareto process which is a direct mathematical expression of burstiness.
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