(a) Simulation setup.
Subunits, which are all identical, are rendered
in yellow, with positions, but not extents, of patches for interactions
with other subunits in red. Positions of patches for interactions
with the membrane particles are in blue. The membrane is modeled as
a triangulated surface of bonded particles. The particles forming
the surface edge are confined to a frame region, which is located
at a distance rframe from the periodic
boundaries. In simulations with hydrodynamics, a stochastic rotation
dynamics (SRD) solvent composed of point particles is included. Interactions
between SRD particles are effected by first dividing the entire system
into a grid of cells of side l0. (b) The
radial part of the inter-subunit or subunit-membrane potential, U(r), with a well-depth ε is split
into attractive (green) and repulsive parts (red). (c) The attractive
part is multiplied by factors of the form Fang(θ), where θ is an angle that depends on the relative
orientation of the interacting particles. (d) Sketch of momentum transfer
between SRD particles in a cell: (i) Only particles within one cell
interact. (ii) Velocities are subtracted from all particles such that
the center of mass velocity is 0. (iii) All velocities are rotated,
as signified by the heavy arrow, around a random axis, by a given
angle. (iv) The subtracted velocities are added back on so that total
momentum is conserved.