Evidence map›Paper›PMID 39076824›Full record

ArticleRoyal Society open science2024

Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion.

Matthew J Simpson, Keeley M Murphy, Scott W McCue, Pascal R Buenzli

Abstract read
In one paragraph

Article in Royal Society open science, 2024. 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

4 authors.

Matthew J SimpsonSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, Queensland, Australia.ORCID https://orcid.org/0000-0001-6254-313X
Keeley M MurphySchool of Mathematical Sciences, Queensland University of Technology, Brisbane, Queensland, Australia.
Scott W McCueSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, Queensland, Australia.
Pascal R BuenzliSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, Queensland, Australia.ORCID https://orcid.org/0000-0003-3962-5393

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion equations. While continuum models based on linear diffusion are routinely employed and known to capture key experimental observations, linear diffusion fails to predict well-defined sharp fronts that are often observed experimentally. This observation has motivated the use of nonlinear degenerate diffusion; however, these nonlinear models and the associated parameters lack a clear biological motivation and interpretation. Here, we take a different approach by developing a stochastic discrete lattice-based model incorporating biologically inspired mechanisms and then deriving the reaction-diffusion continuum limit. Inspired by experimental observations, agents in the simulation deposit extracellular material, which we call a

Indexed as

cell migrationcontinuum mathematical modelpartial differential equationrandom walkstochastic mathematical model

Identifiers

PMID39076824
PMCPMC11286127

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.