A cooling device for removing heat from subcutaneous lipid-rich cells of a subject having skin is provided. The cooling device includes a plurality of cooling elements movable relative to each other to conform to the contour's of the subject's skin. The cooling elements have a plurality of controllable thermoelectric coolers. The cooling elements can be controlled to provide a time-varying cooling profile in a predetermined sequence, can be controlled to provide a spatial cooling profile in a selected pattern, or can be adjusted to maintain constant process parameters, or can be controlled to provide a combination thereof.