Evidence map›Paper›PMID 42244927›Full record

ArticleJournal of nonlinear science2026

Decomposable and Essentially Univariate Mass-Action Systems: Extensions of the Deficiency One Theorem.

Abhishek Deshpande, Stefan Müller

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Journal of nonlinear science, 2026. 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

2 authors.

Abhishek DeshpandeCenter for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology Hyderabad, Hyderabad, Telangana 500032 India.
Stefan MüllerFaculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The classical and extended deficiency one theorems by Feinberg apply to reaction networks with mass-action kinetics that have independent linkage classes or subnetworks, each with a deficiency of at most one and exactly one absorbing strong component. The theorems assume the existence of a positive equilibrium and guarantee the existence of a unique positive equilibrium in every stoichiometric compatibility class. In our work, we use the

Indexed as

Dependency one theoremExistence of a unique positive equilibriumMass-action kineticsMonomial dependencyParametrized systems of polynomial equationsReaction networks

Identifiers

PMID42244927
PMCPMC13230314

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

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.