Effect of Poisson ratio on cellular structure formation
arXiv:cond-mat/0504097 · doi:10.1103/PhysRevLett.95.068102
Abstract
Mechanically active cells in soft media act as force dipoles. The resulting elastic interactions are long-ranged and favor the formation of strings. We show analytically that due to screening, the effective interaction between strings decays exponentially, with a decay length determined only by geometry. Both for disordered and ordered arrangements of cells, we predict novel phase transitions from paraelastic to ferroelastic and anti-ferroelastic phases as a function of Poisson ratio.
4 pages, Revtex, 4 Postscript figures included
References in corpus (7)
- Novel type of phase transition in a system of self-driven particles
- Rheology of Active-Particle Suspensions
- Cell organization in soft media due to active mechanosensing
- Active Membrane Fluctuations Studied by Micropipet Aspiration
- Elastic Interactions of Cells
- Elastic interactions of active cells with soft materials
- Dipole Interactions and Electrical Polarity in Nanosystems -- the Clausius-Mossotti and Related Models
Cited by in corpus (12)
- Physics of adherent cells
- Contractile stresses in cohesive cell layers on finite-thickness substrates
- Scaling laws for the response of nonlinear elastic media with implications for cell mechanics
- Cell contractility facilitates alignment of cells and tissues to static uniaxial stretch
- Collective effects in cellular structure formation mediated by compliant environments: a Monte Carlo study
- Particle-based simulation of ellipse-shaped particle aggregation as a model for vascular network formation
- Elastic interactions between anisotropically contracting circular cells
- Nematic order by elastic interactions and cellular rigidity sensing
- Plastic Deformation of 2D Crumpled Wires
- Mean-field interactions between living cells in linear and nonlinear elastic matrices
- Microscopic biophysical model of self-organization in tissue due to feedback between cell- and macroscopic-scale forces
- Many-body interactions between contracting living cells