  We study the coarsening of strongly microphase separated membrane domains in
the presence of recycling of material. We study the dynamics of the domain size
distribution under both scale-free and size-dependent recycling. Closed form
solutions to the steady state distributions and its associated central moments
are obtained in both cases. Moreover, for the size-independent case, the~time
evolution of the moments is analytically calculated, which provide us with
exact results for their corresponding relaxation times. Since these moments and
relaxation times are measurable quantities, the biophysically significant free
parameters in our model may be determined by comparison with experimental data.
