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
1Institut de Mathématiques de Marseille, I2M, UMR 7373, 39 rue F. Joliot Curie, 13453 Marseille, France
2Laboratoire Jean Kuntzmann, Univ. Grenoble Alpes and CNRS, Grenoble, France
3Laboratoire de Mathématiques, INSA de Rouen, Avenue de l’université, F-76801 Saint-Etienne du Rouvray, France
4Laboratoire Adhésion & Inflammation, INSERM UMR S 1067, CNRS UMR 7333, Aix-Marseille Université, campus de Luminy, 163 av de Luminy, 13009 Marseille, France
5DPMMS, Univ. Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
ESAIM. Proceedings, Tome 55 (2016), pp. 148-166
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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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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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