Format

Send to

Choose Destination
J Math Biol. 2019 Oct 5. doi: 10.1007/s00285-019-01436-2. [Epub ahead of print]

Modelling collective cell migration: neural crest as a model paradigm.

Author information

1
Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG, UK. rasa.giniunaite@maths.ox.ac.uk.
2
Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG, UK.
3
Stowers Institute for Medical Research, 1000 E 50th Street, Kansas City, MO, 64110, USA.

Abstract

A huge variety of mathematical models have been used to investigate collective cell migration. The aim of this brief review is twofold: to present a number of modelling approaches that incorporate the key factors affecting cell migration, including cell-cell and cell-tissue interactions, as well as domain growth, and to showcase their application to model the migration of neural crest cells. We discuss the complementary strengths of microscale and macroscale models, and identify why it can be important to understand how these modelling approaches are related. We consider neural crest cell migration as a model paradigm to illustrate how the application of different mathematical modelling techniques, combined with experimental results, can provide new biological insights. We conclude by highlighting a number of future challenges for the mathematical modelling of neural crest cell migration.

KEYWORDS:

Collective cell migration; Domain growth; Individual-based models; Neural crest; Partial differential equations

PMID:
31587096
DOI:
10.1007/s00285-019-01436-2

Supplemental Content

Full text links

Icon for Springer
Loading ...
Support Center