An apparatus for promoting circulation through a subcutaneous lymph vascular network may comprise a first manifold layer, a second manifold layer coupled to the first manifold layer, and a cover layer coupled to the second manifold layer. The first manifold may have a first stiffness, and the second manifold may have a second stiffness greater than the first stiffness. In some embodiments, the apparatus may additionally have a fluid interface configured to fluidly couple at least one of the first manifold layer and the second manifold layer to a fluid conductor through the cover layer. The fluid conductor may be coupled to or configured to be coupled to a source of negative pressure.