A method of making a stent body for supporting a vascular lumen, the method comprising: providing or forming a polymer solution comprising a solvent and a polymer with a number average molecular weight greater than 250,000 g/mole as measured by gel permeation chromatography using polystyrene standards; and either (a) immersing a cylindrical member into the polymer solution and removing the cylindrical member from the polymer solution; wherein a portion of the polymer solution remains on the surface of the cylindrical member upon removal from the polymer solution; and removing at least a portion of the solvent from the polymer solution remaining on the cylindrical member to form a tubular layer of the polymer on the cylindrical member; or (b) spraying the polymer solution onto the cylindrical member; and removing the solvent during, after, or both during and after the spraying to form a tubular layer of the polymer on the cylindrical member; optionally, repeating (a) on one or more occasions, repeating (b) on one or more occasions, or both, with repeating of the providing or forming prior to repeating (a), (b), or both, being optional, to form a final tubular layer of polymer on the cylindrical member of a desired thickness, removing residual solvent from the final tubular layer; and forming a stent body from the final tubular layer; wherein if the optional providing or forming is repeated, for each repetition, the solvent, the polymer, or both, of the polymer solution may be different from the polymer, the solvent, or both used in the prior execution of (a), (b), or both; and wherein removal of the residual solvent of the polymer solution from the final tubular layer comprises: removal in an environment of 25% to 100% rh. providing or forming a polymer solution comprising a solvent and a polymer with a number average molecular weight greater than 250,000 g/mole as measured by gel permeation chromatography using polystyrene standards; and either (a) immersing a cylindrical member into the polymer solution and removing the cylindrical member from the polymer solution; wherein a portion of the polymer solution remains on the surface of the cylindrical member upon removal from the polymer solution; and removing at least a portion of the solvent from the polymer solution remaining on the cylindrical member to form a tubular layer of the polymer on the cylindrical member; or (b) spraying the polymer solution onto the cylindrical member; and removing the solvent during, after, or both during and after the spraying to form a tubular layer of the polymer on the cylindrical member; (a) immersing a cylindrical member into the polymer solution and removing the cylindrical member from the polymer solution; wherein a portion of the polymer solution remains on the surface of the cylindrical member upon removal from the polymer solution; and removing at least a portion of the solvent from the polymer solution remaining on the cylindrical member to form a tubular layer of the polymer on the cylindrical member; or (b) spraying the polymer solution onto the cylindrical member; and removing the solvent during, after, or both during and after the spraying to form a tubular layer of the polymer on the cylindrical member; optionally, repeating (a) on one or more occasions, repeating (b) on one or more occasions, or both, with repeating of the providing or forming prior to repeating (a), (b), or both, being optional, to form a final tubular layer of polymer on the cylindrical member of a desired thickness, removing residual solvent from the final tubular layer; and forming a stent body from the final tubular layer; wherein if the optional providing or forming is repeated, for each repetition, the solvent, the polymer, or both, of the polymer solution may be different from the polymer, the solvent, or both used in the prior execution of (a), (b), or both; and wherein removal of the residual solvent of the polymer solution from the final tubular layer comprises: removal in an environment of 25% to 100% rh.