Evidence map›Paper›PMID 28936130›Full record

ArticleSIAM journal on applied dynamical systems2016

Stability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks.

Marcella M Gomez, Mehdi Sadeghpour, Matthew R Bennett, Gábor Orosz, Richard M Murray

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in SIAM journal on applied dynamical systems, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Marcella M GomezElectrical Engineering and Computer Science, University of California, Berkeley, CA 94720, USA.
Mehdi SadeghpourDepartment of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA.
Matthew R BennettDepartment of BioSciences and Department of Bioengineering, Rice University, Houston, TX 77005, USA.
Gábor OroszDepartment of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA.
Richard M MurrayControl and Dynamical Systems, California Institute of Technology, Pasadena, CA 91125, USA.

Funding

Experimental and mathematical analysis of delay in transcripitional signalingR01GM104974 · NIGMS · RICE UNIVERSITY · PI BENNETT, MATTHEW R. · 2012 to 2016
$1.4M
NIGMS NIH HHS R01 GM104974
6 · The paper itself

Abstract

The dynamics of systems with stochastically varying time delays are investigated in this paper. It is shown that the mean dynamics can be used to derive necessary conditions for the stability of equilibria of the stochastic system. Moreover, the second moment dynamics can be used to derive sufficient conditions for almost sure stability of equilibria. The results are summarized using stability charts that are obtained via semi-discretization. The theoretical methods are applied to simple gene regulatory networks where it is demonstrated that stochasticity in the delay can improve the stability of steady protein production.

Indexed as

genetic networksstabilitystochastic delaysystems biology

Identifiers

PMID28936130
PMCPMC5603244

What OpenQuestion holds

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Registered trials

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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.