A variable compressible device is utilized with a vacuum to preferentially close a wound. At least one of a strengthening member which resists compression preferentially in one direction, more so than another direction, or a flute in a layer of the closure device whereby to facilitate preferentially compressing in a direction perpendicular to the flute is provided. When utilized with prior art wound closure techniques, a wound is preferentially pulled shut, in what is believed to be a better manner than prior art devices. Furthermore, the device may be utilized with different wound closure techniques.