  A coarse-grained computational model is used to investigate the effect of a
fluctuating fluid membrane on the dynamics of patchy-particle assembly into
virus capsid-like cores. Results from simulations for a broad range of
parameters are presented, showing the effect of varying interaction strength,
membrane stiffness and membrane viscosity. Furthermore, the effect of
hydrodynamic interactions is investigated. Attraction to a membrane may promote
assembly, including for sub-unit interaction strengths for which it does not
occur in the bulk, and may also decrease single-core assembly time. The
membrane budding rate is strongly increased by hydrodynamic interactions. The
membrane deformation rate is important in determining the finite-time yield.
Higher rates may decrease the entropic penalty for assembly and help guide
sub-units towards each other but may also block partial cores from being
completed. For increasing sub-unit interaction strength, three regimes with
different effects of the membrane are identified.

Soft Condensed Matter;Biological Physics;Biomolecules