A method of making a variably reinforced elongate medical device includes braiding a reinforcing sleeve from a first strand including a first material and a second strand including a second material, exposing a portion of the braided reinforcing sleeve to a selected environmental stimulus or contacting the portion of the braided reinforcing sleeve with a selected substance, to thereby substantially modify the first strand in the respective exposed or contacted portion, and removing the substantially modified first strand from the respective exposed or contacted portion of the braided reinforcing sleeve, while the second strand is retained in the respective exposed or contacted portion.
