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The influence of inclusions on the curvature and domain formation in mixed lipid bilayers supported on geometrically patterned substrate is investigated. The distribution of inclusions is found to change the curvature of the inclusion-rich lipid domains, while change in the volume fraction and inclusion size resulted in a variety of laterally organized lipid bilayers and structures.

The interaction energy between two colloidal particles on or immersed in nonadsorbing polymer brushes grafted onto the surface as a function of the separation of the particles by the use of self-consistent-field theory calculation is investigated. The result may suggest an approach for controlling the self-assembling behavior of colloids for the formation of target structures, by tuning the colloidal interaction on the grafting substrate under appropriate selection of colloidal size, effective gravity and brush coverage density.