This article describes a theoretical
and computational study of
the dynamical assembly of a protein shell around a complex consisting
of many cargo molecules and long, flexible scaffold molecules. Our
study is motivated by bacterial microcompartments, which are proteinaceous
organelles that assemble around a condensed droplet of enzymes and
reactants. As in many examples of cytoplasmic liquid–liquid
phase separation, condensation of the microcompartment interior cargo
is driven by flexible scaffold proteins that have weak multivalent
interactions with the cargo. Our results predict that the shell size,
amount of encapsulated cargo, and assembly pathways depend sensitively
on properties of the scaffold, including its length and valency of
scaffold–cargo interactions. Moreover, the ability of self-assembling
protein shells to change their size to accommodate scaffold molecules
of different lengths depends crucially on whether the spontaneous
curvature radius of the protein shell is smaller or larger than a
characteristic elastic length scale of the shell. Beyond natural microcompartments,
these results have important implications for synthetic biology efforts
to target alternative molecules for encapsulation by microcompartments
or viral shells. More broadly, the results elucidate how cells exploit
coupling between self-assembly and liquid–liquid phase separation
to organize their interiors.