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2017 ; 372
(1720
): ä Nephropedia Template TP
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Vertex models: from cell mechanics to tissue morphogenesis
#MMPMID28348254
Alt S
; Ganguly P
; Salbreux G
Philos Trans R Soc Lond B Biol Sci
2017[May]; 372
(1720
): ä PMID28348254
show ga
Tissue morphogenesis requires the collective, coordinated motion and deformation
of a large number of cells. Vertex model simulations for tissue mechanics have
been developed to bridge the scales between force generation at the cellular
level and tissue deformation and flows. We review here various formulations of
vertex models that have been proposed for describing tissues in two and three
dimensions. We discuss a generic formulation using a virtual work differential,
and we review applications of vertex models to biological morphogenetic
processes. We also highlight recent efforts to obtain continuum theories of
tissue mechanics, which are effective, coarse-grained descriptions of vertex
models.This article is part of the themed issue 'Systems morphodynamics:
understanding the development of tissue hardware'.