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A coarse-grained computational model is used to investigate the effect of afluctuating fluid membrane on the dynamics of patchy-particle assembly intovirus capsid-like cores. Results from simulations for a broad range ofparameters are presented, showing the effect of varying interaction strength,membrane stiffness and membrane viscosity. Furthermore, the effect ofhydrodynamic interactions is investigated. Attraction to a membrane may promoteassembly, including for sub-unit interaction strengths for which it does notoccur in the bulk, and may also decrease single-core assembly time. Themembrane budding rate is strongly increased by hydrodynamic interactions. Themembrane deformation rate is important in determining the finite-time yield.Higher rates may decrease the entropic penalty for assembly and help guidesub-units towards each other but may also block partial cores from beingcompleted. For increasing sub-unit interaction strength, three regimes withdifferent effects of the membrane are identified.

Dynamics of Self-Assembly of Model Viral Capsids in the Presence of a Fluctuating Membrane