Evidence map›Paper›PMID 34319979›Full record

ArticlePLoS computational biology2021

Beyond the chemical master equation: Stochastic chemical kinetics coupled with auxiliary processes.

Davin Lunz, Gregory Batt, Jakob Ruess, J Frédéric Bonnans

Abstract read
In one paragraph

Article in PLoS computational biology, 2021. 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. Using single-cell models to predict the functionality of synthetic circuits at the population scale.Proceedings of the National Academy of Sciences of the United States of America · 2022
    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

4 authors.

Davin LunzInria Saclay - Île de France, Palaiseau, France.ORCID 0000-0002-1603-0840
Gregory BattInria Paris, Paris, France.ORCID 0000-0003-1697-139X
Jakob RuessInria Paris, Paris, France.ORCID 0000-0003-1615-3282
J Frédéric BonnansInria Saclay - Île de France, Palaiseau, France.ORCID 0000-0003-0988-9865

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The chemical master equation and its continuum approximations are indispensable tools in the modeling of chemical reaction networks. These are routinely used to capture complex nonlinear phenomena such as multimodality as well as transient events such as first-passage times, that accurately characterise a plethora of biological and chemical processes. However, some mechanisms, such as heterogeneous cellular growth or phenotypic selection at the population level, cannot be represented by the master equation and thus have been tackled separately. In this work, we propose a unifying framework that augments the chemical master equation to capture such auxiliary dynamics, and we develop and analyse a numerical solver that accurately simulates the system dynamics. We showcase these contributions by casting a diverse array of examples from the literature within this framework and applying the solver to both match and extend previous studies. Analytical calculations performed for each example validate our numerical results and benchmark the solver implementation.

Indexed as

Models, BiologicalModels, ChemicalChemical PhenomenaComputational BiologyComputer SimulationGene Expression RegulationKineticsMathematical ConceptsMetabolic Networks and PathwaysNonlinear DynamicsPhenotypeSelection, GeneticSingle-Cell AnalysisStochastic ProcessesSystems Biology

Identifiers

PMID34319979
PMCPMC8352075

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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.