Evidence map›Paper›PMID 40593255›Full record

ArticleBulletin of mathematical biology2025

The Detailed Balance Property and Chemical Systems out of Equilibrium.

E Franco, J J L Velázquez

Abstract read
In one paragraph

Article in Bulletin of mathematical biology, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing 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

2 citing papers in PubMed.

  1. Review
  2. 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.

E FrancoUniversity of Bonn: Rheinische Friedrich-Wilhelms-Universitat Bonn, Bonn, Germany. franco@iam.uni-bonn.de.ORCID http://orcid.org/0000-0002-5311-2124
J J L VelázquezUniversity of Bonn: Rheinische Friedrich-Wilhelms-Universitat Bonn, Bonn, Germany.

Funding

Germany's Excellence Strategy EXC-2047/1, Project_ID 390685813The mathematics of emerging effects CRC 1060, Project ID 211504053
6 · The paper itself

Abstract

The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and they can be effectively modelled using sets of equations in which the detailed balance condition fails. In this paper we study a class of "out of equilibrium" chemical networks that can be obtained freezing the concentration of some substances in chemical networks for which the detailed balance property holds. In particular, we prove that any chemical system with bidirectional chemical reactions can be extended to a system having additional substances and for which the detailed balance property holds.

Indexed as

Models, BiologicalModels, ChemicalMathematical ConceptsChemical reaction networksDetailed balanceKinetic systems with fluxesNon-equilibrium systems

Identifiers

PMID40593255
PMCPMC12213986

What Socratic 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 Socratic graph.