Coherent Motion of Monolayer Sheets under Confinement and Its Pathological Implications
Fig 2
Coherent rotation of cells on circular geometry.
(a) The time evolution of polarization vector, and velocity vector
is shown for ξ = 0.1. The evolution rule for polarization is chosen in such a way that, from an initial random orientation,
will try to orient along velocity vector with time. (b) The coordination between
and
is decided by the parameter ξ. The higher the value of ξ, higher is the tendency of
to orient along
. The orientation of
and
at steady state for ξ = 0.5 and ξ = 1 are also shown. (c) Mean vorticity for systems with different ξ is plotted as a function of time. (d) The tendency of polarization vector to orient with velocity vector is shown by the plot between
and time. As the value of ξ increases, value of
approaches 1, indicating perfect alignment between two vectors. (e) A plot of velocity correlation length for varying system size shows that correlation length equal to the confinement size. (f) A plot of correlation function with time shows that the velocity correlation length increases with time, till the coherent rotation sets in.