Restricted Diffusion in Biophysical Systems: Experiment

The pulsed-gradient spin echo nuclear magnetic resonance (PGSENMR) technique was used to measure restricted diffusion of water in three types of animal tissue: human blood plasma and red cells; rat and rabbit heart; rat and rabbit liver. Characteristic lengths (L) for restriction of diffusion are estimated from dependence on the measuring time. Limitations on the range of observable restrictive lengths (1.5-15 μm) are discussed. The decrease in diffusivity due to 1 μm alumina powder (volume fraction = 0.18) in glycerin/water mixtures agrees with the Wang theory assuming spherical particles and no hydration. The characteristic length (L ≃ 4 μm) is larger than the particle size (1 μm) or separation (1.8 μm). Comparison of the diffusivities in tissues at short diffusion times with the Wang theory indicates some bound or trapped water. For packed red blood cells, a restriction (L ≃ 2.3 μm) was attributed tothe red cell membrane. A permeability p ≃ 0.014 cm/s may be estimated from the decrease in diffusivity. Average values of diffusivity ratio in heart were: 0.36 ± 0.02 for rat; and 0.26 ± 0.03 for rabbit; and in liver: 0.25 ± 0.01 for rat; 0.25 ± .04 for 10-day old rabbit; and 0.195 ± 0.03 for 2-yr old rabbit. A restriction (L ≃ 2.7 μm) in rat liver probably results from the mitochondria