ITM Web of Conferences
Volume 5, 2015Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology
|Number of page(s)
|11 December 2015
A hybrid model of cell migration in zebrafish embryogenesis
1 Istituto per le Applicazioni del Calcolo “M. Picone” – Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, 00131 Naples, Italy
2 Istituto per le Applicazioni del Calcolo “M. Picone” – Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185 Rome, Italy
3 Department of Mathematical Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Turin, Italy
Starting from the results of recent biological experiments, we propose a discrete in continuous mathematical model for the morphogenesis of the posterior lateral line system in zebrafish. Our hybrid description is discrete on the cellular level and continuous on the molecular level. We prove the existence of steady solutions corresponding to the formation of particular biological structures, the neuromasts. Numerical simulations are performed to show the dynamics of the model and its accuracy to describe the evolution of the cell aggregate by a qualitative and quantitative point of view. Some related models, applied to the collective motion of cells, and to the behaviour of cardiac stem cells, are indicated.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.