ArticleNature communications2012
Discreteness-induced concentration inversion in mesoscopic chemical systems.
Article in Nature communications, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
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- pSSAlib: The partial-propensity stochastic chemical network simulator.PLoS computational biology · 2017Article
- Inference for Stochastic Chemical Kinetics Using Moment Equations and System Size Expansion.PLoS computational biology · 2016Article
- Cox process representation and inference for stochastic reaction-diffusion processes.Nature communications · 2016Article
- Analytical approximations for spatial stochastic gene expression in single cells and tissues.Journal of the Royal Society, Interface · 2016Article
- Activity induces traveling waves, vortices and spatiotemporal chaos in a model actomyosin layer.Scientific reports · 2016Article
- CERENA: ChEmical REaction Network Analyzer--A Toolbox for the Simulation and Analysis of Stochastic Chemical Kinetics.PloS one · 2016Article
- Exploiting intrinsic fluctuations to identify model parameters.IET systems biology · 2015Article
- Effects of small particle numbers on long-term behaviour in discrete biochemical systems.Bioinformatics (Oxford, England) · 2014Article
- ODE constrained mixture modelling: a method for unraveling subpopulation structures and dynamics.PLoS computational biology · 2014Article
- Mathematical models light up plant signaling.The Plant cell · 2014Review
- Modeling and simulation of biological systems from image data.BioEssays : news and reviews in molecular, cellular and developmental biology · 2013Article
- How reliable is the linear noise approximation of gene regulatory networks?BMC genomics · 2013Article
- Effects of bursty protein production on the noisy oscillatory properties of downstream pathways.Scientific reports · 2013Article
- Intrinsic noise analyzer: a software package for the exploration of stochastic biochemical kinetics using the system size expansion.PloS one · 2012Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Molecular discreteness is apparent in small-volume chemical systems, such as biological cells, leading to stochastic kinetics. Here we present a theoretical framework to understand the effects of discreteness on the steady state of a monostable chemical reaction network. We consider independent realizations of the same chemical system in compartments of different volumes. Rate equations ignore molecular discreteness and predict the same average steady-state concentrations in all compartments. However, our theory predicts that the average steady state of the system varies with volume: if a species is more abundant than another for large volumes, then the reverse occurs for volumes below a critical value, leading to a concentration inversion effect. The addition of extrinsic noise increases the size of the critical volume. We theoretically predict the critical volumes and verify, by exact stochastic simulations, that rate equations are qualitatively incorrect in sub-critical volumes.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.