Geodesic
A new modeling approach of Myxococcus xanthus bacteria using polarity-based reversals
Hélène Bloch1 ; Vincent Calvez2 ; Benoît Gaudeul3 ; Loïc Gouarin1 ; Aline Lefebvre-Lepot1 ; Tâm Mignot4 ; Michèle Romanos2 ; Jean-Baptiste Saulnier4
1 CMAP, CNRS, Ecole Polytechnique, I.P. Paris, 91128 Palaiseau, France
2 Institut Camille Jordan, Université Claude Bernard, Lyon, 69100, France
3 Université Paris-Saclay, CNRS, Laboratoire de mathématiques d’Orsay, 91405, Orsay, France
4 Laboratoire de chimie bactérienne, 13009 Marseille, France
ESAIM. Proceedings, Tome 77 (2024), pp. 25-45.

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The aim of this paper is to model the collective behavior of Myxococcus xanthus bacteria to better understand the emerging patterns at the level of the colony. We use image analysis and data treatment on experimental data of Myxococcus xanthus bacteria. We develop two models whose main novelty is the polarity-based reversals. The first model is based on contact dynamics approach and the second one is inspired by a molecular dynamics approach. We compare the two models and we show numerical simulations in 2D. The mathematical and biological aspects of each model are discussed.
DOI : 10.1051/proc/202477025

Hélène Bloch 1 ; Vincent Calvez 2 ; Benoît Gaudeul 3 ; Loïc Gouarin 1 ; Aline Lefebvre-Lepot 1 ; Tâm Mignot 4 ; Michèle Romanos 2 ; Jean-Baptiste Saulnier 4

1 CMAP, CNRS, Ecole Polytechnique, I.P. Paris, 91128 Palaiseau, France
2 Institut Camille Jordan, Université Claude Bernard, Lyon, 69100, France
3 Université Paris-Saclay, CNRS, Laboratoire de mathématiques d’Orsay, 91405, Orsay, France
4 Laboratoire de chimie bactérienne, 13009 Marseille, France 
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     title = {A new modeling approach of {Myxococcus} xanthus bacteria using polarity-based reversals},
     journal = {ESAIM. Proceedings},
     pages = {25--45},
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     year = {2024},
     doi = {10.1051/proc/202477025},
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Hélène Bloch; Vincent Calvez; Benoît Gaudeul; Loïc Gouarin; Aline Lefebvre-Lepot; Tâm Mignot; Michèle Romanos; Jean-Baptiste Saulnier. A new modeling approach of Myxococcus xanthus bacteria using polarity-based reversals. ESAIM. Proceedings, Tome 77 (2024), pp. 25-45. doi : 10.1051/proc/202477025. http://geodesic.mathdoc.fr/articles/10.1051/proc/202477025/

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