“…The diffusion coefficient of pullulan in a dilute D 2 O solution at 25 • C was measured as described previously (Zhao & Matsukawa, 2012). The hydrodynamic radius R H of pullulan was assumed to be independent of temperature (Nordmeier, 1993;Viebke & Williams, 2000), and the diffusion coefficient of pullulan in dilute D 2 O (D pul,0 ) at all temperatures was calculated from the Stoke-Einstein equation:…”