Evidence map›Paper›PMID 40936005›Full record

ArticleJournal of mathematical biology2025

Designing reaction-cross-diffusion systems with Turing and wave instabilities.

Edgardo Villar-Sepúlveda, Alan R Champneys, Andrew L Krause

Abstract read
PubMed Full text at PMC Publisher
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. 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

3 authors.

Edgardo Villar-SepúlvedaSchool of Engineering Mathematics and Technology, University of Bristol, Ada Lovelace Building, Tankard's Cl, University Walk, Bristol, BS8 1TW, United Kingdom.
Alan R ChampneysSchool of Engineering Mathematics and Technology, University of Bristol, Ada Lovelace Building, Tankard's Cl, University Walk, Bristol, BS8 1TW, United Kingdom.
Andrew L KrauseMathematical Sciences Department, Durham University, Upper Mountjoy Campus, Stockton Rd, DH1 3LE, Durham, United Kingdom. andrew.krause@durham.ac.uk.ORCID http://orcid.org/0000-0001-9638-7278

Funding

Agencia Nacional de Investigación y Desarrollo 72210071
6 · The paper itself

Abstract

General conditions are established under which reaction-cross-diffusion systems can undergo spatiotemporal pattern-forming instabilities. Recent work has focused on designing systems theoretically and experimentally to exhibit patterns with specific features, but the case of non-diagonal diffusion matrices has yet to be analysed. Here, a framework is presented for the design of general n-component reaction-cross-diffusion systems that exhibit Turing and wave instabilities of a given wavelength. For a fixed set of reaction kinetics, it is shown how to choose diffusion matrices that produce each instability; conversely, for a given diffusion tensor, how to choose linearised kinetics. The theory is applied to several examples including a hyperbolic reaction-diffusion system, two different 3-component models, and a spatio-temporal version of the Ross-Macdonald model for the spread of malaria.

Indexed as

Models, BiologicalAnimalsComputer SimulationDiffusionHumansKineticsMalariaMathematical ConceptsDiffusion-driven instabilityReaction-diffusionSpatiotemporal oscillationsTuring instabilitywave instability

Identifiers

PMID40936005
PMCPMC12426155

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.