A unitary apparatus for isolating cells from adipose tissue including a lipid separation processor with a dispersing head equipped with a plurality of ports and a digestion chamber for dissociation of the constituent cells disposed in adipose tissue. The lipid separating apparatus is useful for the separation of lipids and adipocytes from a mixed cell population. A cell seeding chamber may be attached to the cell isolation apparatus. The components of the apparatus may be packaged in modular kit form.