Purpose:To study pulsatile fluid flow in a physiologically realistic model of the human carotid bifurcation, and to derive wall shear stress (WSS) vectors.
Materials and Methods:WSS vectors were calculated from time-resolved 3D phase-contrast (PC) MRI measurements of the velocity field. The technique was first validated with sinusoidal flow in a straight tube, and then used in a model of a healthy human carotid bifurcation. Velocity measurements in the inflow and outflow regions were also used as boundary conditions for computational fluid dynamics (CFD) calculations of WSS, which were compared with those derived from MRI alone.
Results:The straight tube measurements gave WSS results that were within 15% of the theoretical value. WSS results for the phantom showed the main features expected from fluid dynamics, notably the low values in the bulb region of the internal carotid artery, with a return to ordered flow further downstream. MRI was not able to detect the high WSS values along the divider wall that were predicted by the CFD model. Otherwise, there was good general agreement between MRI and CFD.Conclusion: This is the first report of time-resolved WSS vectors estimated from 3D-MRI data. The technique worked well except in regions of disturbed flow, where the combination with CFD modeling is clearly advantageous.
To understand the non-equilibrium behavior of colloidal particles with short-range attraction, we studied salt-induced aggregation of lysozyme. Optical microscopy revealed four regimes: bicontinuous texture, 'beads', large aggregates, and transient gelation. The interaction of a metastable liquid-liquid binodal and an ergodic to non-ergodic transition boundary inside the equilibrium crystallization region can explain our findings.
Solid-state molecular chain diffusion in linear high-density
polyethylene (HDPE) is
established as the dominant mechanism for the crystalline
13C longitudinal relaxation at 60 °C,
confirming
previous work of Schmidt-Rohr and Spiess. A progressive saturation
NMR experiment was undertaken
on several samples of HDPE, where different degrees of cross-linking
were introduced by electron
irradiation. A decrease in the rate of recovery of the crystalline
signal was observed with an increase in
cross-link density, as measured by gel fraction. As irradiation
forms cross-links on the fold surfaces of
the lamellae, this behavior cannot be explained through a conventional
dipolar spin−lattice mechanism
or 13C spin diffusion. Transport of magnetization via
chain diffusion to the amorphous region, where it
experiences an efficient relaxation process, is consistent with the
relaxation data and the Overhauser
enhancement. As the gel fraction increased from zero to 87%, the
effective diffusion coefficients almost
halved from the nonirradiated sample (0.033
nm2·s-1) to 0.018
nm2·s-1.
Steady fluid flow was studied in a simple bifurcation model and in a physiologically realistic model of the human carotid bifurcation. Wall shear stress (WSS) vectors were calculated from phase-contrast (PC) magnetic resonance imaging (MRI) measurements of the velocity field. Velocity measurements in the inflow regions were also used as boundary conditions for computational fluid dynamics (CFD) calculations of WSS, which were compared with those derived from MRI alone. In regions of well-behaved flow, MRI and CFD estimates of WSS were in good general agreement. In regions of disturbed flow, for example near the bifurcation, the quality of the MRI measurements was sufficient for reliable calculation of WSS vectors when a sensitive surface coil was used. The combination of MRI and CFD would seem to be a powerful technique for the investigation of flow phenomena.
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