Evidence map›Paper›PMID 33068155›Full record

ArticleJournal of mathematical biology2020

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure.

Maria Eckardt, Kevin J Painter, Christina Surulescu, Anna Zhigun

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

Article in Journal of mathematical biology, 2020. 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
0.3field-weighted citation impact, top 34% 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, 18 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

4 authors at 3 institutions in 2 countries.

Maria EckardtFelix-Klein-Zentrum für Mathematik, Technische Universität Kaiserslautern, Paul-Ehrlich-Str. 31, 67663, Kaiserslautern, Germany.
Kevin J PainterDepartment of Mathematics & Maxwell Institute, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland, UK.
Christina SurulescuFelix-Klein-Zentrum für Mathematik, Technische Universität Kaiserslautern, Paul-Ehrlich-Str. 31, 67663, Kaiserslautern, Germany.
Anna ZhigunSchool of Mathematics and Physics, Queen's University Belfast, University Road, Belfast, BT7 1NN, Northern Ireland, UK. A.Zhigun@qub.ac.uk.ORCID 0000-0001-6156-7906
University of Kaiserslautern · DEHeriot-Watt University · GBQueen's University Belfast · GB

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

A rigorous limit procedure is presented which links nonlocal models involving adhesion or nonlocal chemotaxis to their local counterparts featuring haptotaxis and classical chemotaxis, respectively. It relies on a novel reformulation of the involved nonlocalities in terms of integral operators applied directly to the gradients of signal-dependent quantities. The proposed approach handles both model types in a unified way and extends the previous mathematical framework to settings that allow for general solution-dependent coefficient functions. The previous forms of nonlocal operators are compared with the new ones introduced in this paper and the advantages of the latter are highlighted by concrete examples. Numerical simulations in 1D provide an illustration of some of the theoretical findings.

Indexed as

Cell MovementChemotaxisModels, BiologicalComputer SimulationCell–cell and cell–tissue adhesionGlobal existenceHaptotaxisIntegro-differential equationsNonlocal and local chemotaxisRigorous limit behaviourUnified approachWeak solutions

Identifiers

PMID33068155
PMCPMC7716906
OpenAlexW3092997817

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.