Geodesic
Cell motility in confinement: a computational model for the shape of the cell
Florence Hubert1 ; Meriem Jedouaa2 ; Imene Khames3 ; Julien Olivier1 ; Olivier Theodoly4 ; Ariane Trescases5
1 Institut de Mathématiques de Marseille, I2M, UMR 7373, 39 rue F. Joliot Curie, 13453 Marseille, France
2 Laboratoire Jean Kuntzmann, Univ. Grenoble Alpes and CNRS, Grenoble, France
3 Laboratoire de Mathématiques, INSA de Rouen, Avenue de l’université, F-76801 Saint-Etienne du Rouvray, France
4 Laboratoire Adhésion & Inflammation, INSERM UMR S 1067, CNRS UMR 7333, Aix-Marseille Université, campus de Luminy, 163 av de Luminy, 13009 Marseille, France
5 DPMMS, Univ. Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
ESAIM. Proceedings, Tome 55 (2016), pp. 148-166 Cet article a éte moissonné depuis la source EDP Sciences

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While cells typically tend to spread their cytoplasm in a flat and thin lamellipodium when moving on a flat substrate, it is widely observed that the cytoplasm has a compact shape in micro-channels, tending to fulfill the cross-section of the microchannel. We propose a minimal mathematical model for a 2D test case which describes the cell lamellipodium deformations when confined in a channel. We then go through a numerical investigation of this mathematical model and show that it allows to recover qualitatively the physiological characteristics of the confined cell.
DOI : 10.1051/proc/201655166

Florence Hubert 1 ; Meriem Jedouaa 2 ; Imene Khames 3 ; Julien Olivier 1 ; Olivier Theodoly 4 ; Ariane Trescases 5

1 Institut de Mathématiques de Marseille, I2M, UMR 7373, 39 rue F. Joliot Curie, 13453 Marseille, France
2 Laboratoire Jean Kuntzmann, Univ. Grenoble Alpes and CNRS, Grenoble, France
3 Laboratoire de Mathématiques, INSA de Rouen, Avenue de l’université, F-76801 Saint-Etienne du Rouvray, France
4 Laboratoire Adhésion & Inflammation, INSERM UMR S 1067, CNRS UMR 7333, Aix-Marseille Université, campus de Luminy, 163 av de Luminy, 13009 Marseille, France
5 DPMMS, Univ. Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK 
@article{EP_2016_55_a8,
     author = {Florence Hubert and Meriem Jedouaa and Imene Khames and Julien Olivier and Olivier Theodoly and Ariane Trescases},
     title = {Cell motility in confinement: a computational model for the shape of the cell},
     journal = {ESAIM. Proceedings},
     pages = {148--166},
     year = {2016},
     volume = {55},
     doi = {10.1051/proc/201655166},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201655166/}
}
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%A Julien Olivier
%A Olivier Theodoly
%A Ariane Trescases
%T Cell motility in confinement: a computational model for the shape of the cell
%J ESAIM. Proceedings
%D 2016
%P 148-166
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Florence Hubert; Meriem Jedouaa; Imene Khames; Julien Olivier; Olivier Theodoly; Ariane Trescases. Cell motility in confinement: a computational model for the shape of the cell. ESAIM. Proceedings, Tome 55 (2016), pp. 148-166. doi: 10.1051/proc/201655166

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