Evidence map›Paper›PMID 40402316›Full record

ArticleJournal of mathematical biology2025

Planar chemical reaction systems with algebraic and non-algebraic limit cycles.

Gheorghe Craciun, Radek Erban

Abstract read
In one paragraph

Article in Journal of mathematical biology, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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.

Gheorghe CraciunDepartment of Mathematics and Department of Biomolecular Chemistry, University of Wisconsin-Madison, 480 Lincoln Dr, Madison, WI, 53706-1388, USA.
Radek ErbanMathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK. radek.erban@maths.ox.ac.uk.ORCID 0000-0001-8470-3763

Funding

Engineering and Physical Sciences Research Council EP/V047469/1National Science Foundation DMS-2051568
6 · The paper itself

Abstract

The Hilbert number H(n) is defined as the maximum number of limit cycles of a planar autonomous system of ordinary differential equations (ODEs) with right-hand sides containing polynomials of degree at most

Indexed as

Models, BiologicalModels, ChemicalAlgorithmsKineticsMathematical ConceptsAlgebraic limit cyclesChemical reaction networksHilbert numberLimit cycles

Identifiers

PMID40402316
PMCPMC12098472

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.