ArticleJournal of mathematical biology2015
A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line.
Article in Journal of mathematical biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Mathematical modeling of therapeutic neural stem cell migration in mouse brain with and without brain tumors.Mathematical biosciences and engineering : MBE · 2022Article
- AnFrontiers in pharmacology · 2022Article
- Collective migration and patterning during early development of zebrafish posterior lateral line.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- Bacteria Floc, but Do They Flock? Insights from Population Interaction Models of Quorum Sensing.mBio · 2019Article
- Are Tumor Cell Lineages Solely Shaped by Mechanical Forces?Bulletin of mathematical biology · 2017Article
- Polarization and migration in the zebrafish posterior lateral line system.PLoS computational biology · 2017Article
- Coherent modelling switch between pointwise and distributed representations of cell aggregates.Journal of mathematical biology · 2017Article
- Multidisciplinary approaches to understanding collective cell migration in developmental biology.Open biology · 2016Review
- Differentiated cell behavior: a multiscale approach using measure theory.Journal of mathematical biology · 2015Article
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Authors and funding
3 authors.
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Abstract
In this paper we propose a discrete in continuous mathematical model for the morphogenesis of the posterior lateral line system in zebrafish. Our model follows closely the results obtained in recent biological experiments. We rely on a hybrid description: discrete for the cellular level and continuous for the molecular level. We prove the existence of steady solutions consistent with the formation of particular biological structure, the neuromasts. Dynamical numerical simulations are performed to show the behavior of the model and its qualitative and quantitative accuracy to describe the evolution of the cell aggregate.
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