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91 papers
Nonreciprocal pattern formation of conserved fields
Fridtjof Brauns, M. Cristina Marchetti
In recent years, nonreciprocally coupled systems have received growing attention. Previous work has shown that the interplay of nonreciprocal coupling and Goldstone modes can drive…
Vorticity phase separation and defect lattices in the isotropic phase of active liquid crystals
Fernando Caballero, Zhihong You, M. Cristina Marchetti
We use numerical simulations and linear stability analysis to study the dynamics of an active liquid crystal film on a substrate in the regime where the passive system would be iso…
Finite Elasticity of the Vertex Model and its Role in Rigidity of Curved Cellular Tissues
Arthur Hernandez, Michael F. Staddon, Michael Moshe +1
Using a mean field approach and simulation, we study the non-linear mechanical response of the vertex model (VM) of biological tissue under compression and dilation. The VM is know…
Patterning of morphogenetic anisotropy fields
Zihang Wang, M. Cristina Marchetti, Fridtjof Brauns
Orientational order, encoded in anisotropic fields, plays an important role during the development of an organism. A striking example of this is the freshwater polyp Hydra, where t…
The role of non-affine deformations in the elastic behavior of the cellular vertex model
Michael F. Staddon, Arthur Hernandez, Mark J. Bowick +2
The vertex model of epithelia describes the apical surface of a tissue as a tiling of polygonal cells, with a mechanical energy governed by deviations in cell shape from preferred,…
Constitutive model for the rheology of biological tissue
Suzanne M. Fielding, James O. Cochran, Junxiang Huang +2
The rheology of biological tissue is key to processes such as embryo development, wound healing and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a…