Evidence map›Paper›PMID 36163567›Full record

ArticleJournal of mathematical biology2022

Scaling relations for auxin waves.

Bente Hilde Bakker, Timothy E Faver, Hermen Jan Hupkes, Roeland M H Merks, Jelle van der Voort

Open access · hybridAbstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Journal of mathematical biology, 2022. 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
0.6field-weighted citation impact, top 24% of its field
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, 3 citations in OpenAlex.

  1. Article
  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

5 authors at 2 institutions in 2 countries.

Bente Hilde BakkerMathematical Institute, Universiteit Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands.ORCID 0000-0001-6974-8090
Timothy E FaverDepartment of Mathematics, Kennesaw State University, 850 Polytechnic Lane, MD #9085, Marietta, GA, 30060, USA.ORCID 0000-0002-8914-7820
Hermen Jan HupkesMathematical Institute, Universiteit Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands. hhupkes@math.leidenuniv.nl.ORCID 0000-0003-1726-5323
Roeland M H MerksMathematical Institute and Institute of Biology Leiden, Universiteit Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands.ORCID 0000-0002-6152-687X
Jelle van der VoortMathematical Institute, Universiteit Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands.ORCID 0000-0002-7710-3222
Leiden University · NLKennesaw State University · US

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We analyze an 'up-the-gradient' model for the formation of transport channels of the phytohormone auxin, through auxin-mediated polarization of the PIN1 auxin transporter. We show that this model admits a family of travelling wave solutions that is parameterized by the height of the auxin-pulse. We uncover scaling relations for the speed and width of these waves and verify these rigorous results with numerical computations. In addition, we provide explicit expressions for the leading-order wave profiles, which allows the influence of the biological parameters in the problem to be readily identified. Our proofs are based on a generalization of the scaling principle developed by Friesecke and Pego to construct pulse solutions to the classic Fermi-Pasta-Ulam-Tsingou model, which describes a one-dimensional chain of coupled nonlinear springs.

Indexed as

Indoleacetic AcidsPlant Growth RegulatorsBiological TransportMembrane Transport ProteinsIndoleacetic AcidsMembrane Transport ProteinsPlant Growth RegulatorsCross-diffusionLattice differential equationsPolar auxin transportScaling limitsTravelling wavesUp-the-gradient models

Identifiers

PMID36163567
PMCPMC9512763
OpenAlexW4297094143

What OpenQuestion holds

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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.