ITM Web of Conferences
Volume 5, 2015Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology
|Number of page(s)||5|
|Published online||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.
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