23 citations · 58 across the 6 of their papers we have counts for
6 papers · 1 filter
Mechanics of axis formation in
Arthur Hernandez, Cuncheng Zhu, Luca Giomi
The emergence of a body axis is a fundamental step in the development of multicellular organisms. In simple systems such as , growing evidence suggests that mechani…
Active Solids: Topological Defect Self-Propulsion Without Flow
Fridtjof Brauns, Myles O'Leary, Arthur Hernandez +2
The self-propulsion of +1/2 topological defects is a hallmark of active nematic fluids, where the defects are advected by the flow field they themselves generate. In this paper we…
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…
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,…
Anomalous elasticity of cellular tissue vertex model
Arthur Hernandez, Michael F. Staddon, Mark J. Bowick +2
Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation b…
Poisson-bracket formulation of the dynamics of fluids of deformable particles
Arthur Hernandez, M. Cristina Marchetti
Using the Poisson bracket method, we derive continuum equations for a fluid of deformable particles in two dimensions. Particle shape is quantified in terms of two continuum fields…