Devices, application systems and methods with localized heat flux zones for removing heat from subcutaneous lipid-rich cells

Application systems, disposable interface assemblies and methods for cooling subcutaneous lipid-rich tissue. One embodiment of an application system includes a cooling unit, a cryoprotectant vessel, a contact member and an array of selectively addressable heating elements. The cryoprotectant vessel is configured to contain a fluidic cryoprotectant such that at least a portion of the cryoprotectant is cooled by the cooling unit to a desired base temperature. The contact member is attached to the cryoprotectant vessel and includes a backside in contact with the cryoprotectant and a front side opposite the backside. The contact member is configured to allow the cryoprotectant to flow from the backside to the front side. The array of selectively addressable heating elements is carried by the contact member.