The entire body is a weak saline solution saturated sponge. The only difference is the veins and arteries pump platelets and plasma. Platelets are the iron rich oxygen carriers and plasma is the same solution the body is saturated with. So veins and arteries are no more conductive than the surrounding tissue. From what the BME article said there is no more conductive part than any other except for current/cross sectional area. What I did find interesting was that hand to hand conduction across the heart/chest was 60% fatal compared to 20% for hand to opposite foot conduction. Go figure, I've seen countless warnings about hand to hand conduction and keeping one hand in your back pocket.. Rubber soled (or all rubber) shoes/boots may give some protection in a dry environment. I've sat through safety presentations dealing with downed power lines and one thing they tell you is keep your feet together to eliminate potential V difference between them (if you accidently are in a downed line situation that could not be avoided). Hop, not walk, to escape the area if you can't wait for the line to be deenergized (and if you fall over doing it you are dead). Guys that work with distribution lines wear long cuff rubber gauntlets under their leather ones. Before putting them on they pinch the cuff together and roll them up to insure they hold air like a balloon to check for any perforations of the rubber that could cause a high voltage current path.
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