A therapeutic compression apparatus includes a liner having a tubular body portion with a proximal opening for receiving a limb of a patient. The tubular body portion includes an inside region with an inside circumference that is sized to extend about and in contact with the limb. The inside circumference is substantially identical to a circumference of the limb at a respective area of contact. The tubular body portion includes an outside region having an outside circumference that varies from the inside circumference at respective cross-sections through the tubular body, such that a first function of a ratio of the difference between the inside circumference and the outside circumference at a respective cross-section through the tubular body, divided by the inside circumference at said respective cross-section, and a second function of the inside circumference at said respective cross-section determines, in part, a pressure exerted on the limb at said cross-section when compression is applied by said therapeutic compression apparatus.