Kh. Cheng, QUANTITATION OF NON-EINSTEIN DIFFUSION BEHAVIOR OF WATER IN BIOLOGICAL TISSUES BY PROTON MR DIFFUSION IMAGING - SYNTHETIC IMAGE CALCULATIONS, Magnetic resonance imaging, 11(4), 1993, pp. 569-583
The non-Einstein diffusion behavior of water in a model biological tis
sue system, intact duck embryos, has been investigated by the use of a
n in vivo proton pulsed-gradient spin-echo (PGSE) MR imaging technique
. Multiple-frame MR images of the intact duck embryos and control solu
tion (0.5 mM CuSO4 doped water) were acquired systematically at differ
ent diffusion times and strengths of the diffusion-sensitizing magneti
c field gradients of the PGSE sequence. These raw images were then use
d to generate various dynamic (self-diffusion coefficient) and structu
ral (fractal, residual attenuation, and compartment fraction) diffusio
n parameter maps of water in the imaging objects on the basis of diffe
rent Einstein and higher order (non-Brownian, Residual, and 2-compartm
ent) diffusion models. The self-diffusion coefficients of the body tis
sues of the embryos obtained from all diffusion models were significan
tly lower than those of the surrounding embryonic fluid. The structura
l diffusion parameter maps obtained from the higher order diffusion mo
dels revealed that water molecules exhibited either non-Brownian, rest
ricted, or compartmentalized diffusion behavior in the embryonic tissu
es, but Einstein or Brownian diffusion behavior in the embryonic fluid
and control solution. The diffusion parameter maps, both dynamic and
structural, were found to provide much better contrasts than the conve
ntional relaxation time (T1, T2, and biexponential T2) maps in separat
ing the tissues from the surrounding embryonic fluid in the duck embry
os. The mathematical models and procedures for generating the dynamic
and structural diffusion parameter maps are also presented in this pap
er.