Evidence map›Paper›PMID 42496241›Full record

ArticleNon-coding RNA2026

A Mathematical Approach on the Limits of ceRNA Hypothesis Through an Ordinary Differential Equations (ODE) Model of mRNA-microRNA Interactions.

Paul Flondor, Mircea Olteanu, Radu Stefan, Corina Elena Minciuna, Catalin Vasilescu

Abstract read
In one paragraph

Article in Non-coding RNA, 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. Protein-Ratio Rheostats: Integrating Stoichiometry, Abundance, and Binding Affinity in Cellular Function.BioEssays : news and reviews in molecular, cellular and developmental biology · 2026
    Review
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.

Paul FlondorFaculty of Automatic Control and Computer Science, National University of Science and Technology POLITEHNICA Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania.
Mircea OlteanuFaculty of Automatic Control and Computer Science, National University of Science and Technology POLITEHNICA Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania.
Radu StefanFaculty of Automatic Control and Computer Science, National University of Science and Technology POLITEHNICA Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania.ORCID 0000-0001-5058-8023
Corina Elena MinciunaDepartment General Surgery I, Fundeni Clinical Institute, 258 Sos. Fundeni, 022328 Bucharest, Romania.ORCID 0000-0002-4074-8967
Catalin VasilescuDepartment General Surgery I, Fundeni Clinical Institute, 258 Sos. Fundeni, 022328 Bucharest, Romania.

Funding

Ministry of Research and Innovation PN-III-P4-PCE-2021-1068
6 · The paper itself

Abstract

backgroundMicroRNAs (miRNAs) are small, non-coding RNA molecules that regulate gene expression post-transcriptionally by binding to target messenger RNAs (mRNAs) and suppressing their expression. Competing endogenous RNAs (ceRNAs), including mRNAs and circular RNAs (circRNAs), modulate miRNA availability through competitive binding, forming regulatory networks that fine-tune gene expression. CircRNAs can act as miRNA sponges, reducing miRNA-mediated repression of other targets, a mechanism implicated in various pathophysiological processes, including oncogenesis.

methodsWe propose a mathematical model describing the dynamics of miRNA-mRNA-protein interactions, extending existing frameworks for miRNA-mRNA regulation. A qualitative analysis of the associated nonlinear differential equations system is performed.

resultsWe prove the boundedness of all positive solutions, establish the existence of a unique positive attracting equilibrium, and provide a mathematical perspective on the crosstalk mechanism in protein production.

conclusionsThe effectiveness of ceRNA interactions depends on the relative abundance of miRNAs and their targets. This highlights the ongoing debate regarding the biological impact of low-abundance RNA transcripts on miRNA-mediated regulation.

Indexed as

ceRNAequilibriahomeostasismicroRNAnon-coding RNAODE modelprotein productionstability

Identifiers

PMID42496241
PMCPMC13397817

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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.