An implant can include a single- or dual-layer braided body having a variableporosity.In a dual-layer body, first and second longitudinal sections, havingrespective first and secondporosities, can be overlapped such that the first and second porositiesoverlap each other. Thedual-layer construction can cumulatively provide a third porosity at a distalportion and a fourthporosity at a proximal portion. The third and fourth porosities can each begreater than each ofthe first and second porosities.