Abstract
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.
Funder
Engineering and Physical Sciences Research Council
Biotechnology and Biological Sciences Research Council
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation
Reference126 articles.
1. Alber M, Chen N, Lushnikov PM, Newman SA (2007) Continuous macroscopic limit of a discrete stochastic model for interaction of living cells. Phys Rev Lett 99(16):168102
2. Alber MS, Kiskowski MA, Glazier JA, Jiang Y (2003) On cellular automaton approaches to modeling biological cells. In: Rosenthal J, Gilliam DS (eds) Mathematical systems theory in biology, communications, computation, and finance. Springer, Berlin, pp 1–39
3. Aman A, Piotrowski T (2010) Cell migration during morphogenesis. Dev Biol 341(1):20–33
4. Anderson A, Chaplain M, Rejniak K, Fozard J (2008) Single-cell-based models in biology and medicine. Oxford University Press, Oxford
5. Armstrong NJ, Painter KJ, Sherratt JA (2006) A continuum approach to modelling cell–cell adhesion. J Theor Biol 243(1):98–113
Cited by
37 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献