Andras Czirok

Novel type of phase transition in a system of self-driven particles

A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant absolute velocity and at each time step assume the average direction of motion of the particles in their neighborhood with some random perturbation

Collective behavior of interacting self-propelled particles

(\ensuremath{\eta})

Elastic fiber formation: A dynamic view of extracellular matrix assembly using timer reporters

added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity,

Dynamic analysis of vascular morphogenesis using transgenic quail embryos.

|{\mathbf{v}}_{a}|\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0

Mesodermal cell displacements during avian gastrulation are due to both individual cell-autonomous and convective tissue movements

) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous, since

Collective motion of organisms in three dimensions

|{\mathbf{v}}_{a}|

Proliferative and migratory responses of astrocytes to in vitro injury

is found to scale as

Collective cell motion in endothelial monolayers.

({\ensuremath{\eta}}_{c}\ensuremath{-}\ensuremath{\eta}{)}^{\ensuremath{\beta}}

Elastic fiber macro-assembly is a hierarchical, cell motion-mediated process

with

αvβ3 integrin-dependent endothelial cell dynamics in vivo

\ensuremath{\beta}\ensuremath{\simeq}0.45