  The transport of platelets in blood is commonly assumed to obey an
advection-diffusion equation. Here we propose a disruptive view, by showing
that the random part of their velocity is governed by a fat-tailed probability
distribution, usually referred to as a L\'evy flight. Although for small
spatio-temporal scales, it is hard to distinguish it from the generally
accepted "red blood cell enhanced" Brownian motion, for larger systems this
effect is dramatic as the standard approach may underestimate the flux of
platelets by several orders of magnitude, compromising in particular the
validity of current platelet function tests.
