Coarse-graining the vertex model and its response to shear

• Verfasst von: Triguero-Platero, Gloria [VerfasserIn]
• Verfasst von: Ziebert, Falko [VerfasserIn]
• Verfasst von: Bonilla, Luis L. [VerfasserIn]
• Titel: Coarse-graining the vertex model and its response to shear
• Verf.angabe: Gloria Triguero-Platero and Falko Ziebert, Luis L. Bonilla
• E-Jahr: 2023
• Jahr: 9 October 2023
• Umfang: 13 S.
• Fussnoten: Gesehen am 04.12.2023
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2023
• Band/Heft Quelle: 108(2023), 4 vom: Okt., Artikel-ID 044118, Seite 1-13
• ISSN Quelle: 2470-0053
• DOI: doi:10.1103/PhysRevE.108.044118
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1871810035

Abstract

Tissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the active vertex model exist and yield reasonable agreement with experimental observations such as tissue fluidization or fingering. However, a good and well-founded continuum description for tissues remains to be developed. In this work, we derive a macroscopic description for a two-dimensional cell monolayer by coarse-graining the vertex model through the Poisson bracket approach. We obtain equations for cell density, velocity, and the cellular shape tensor. We then study the homogeneous steady states, their stability (which coincides with thermodynamic stability), and especially their behavior under an externally applied shear. Our results contribute to elucidate the interplay between flow and cellular shape. The obtained macroscopic equations present a good starting point for adding cell motion, morphogenetic, and other biologically relevant processes.