Vibrations in a granular material can spontaneously produce convection rolls reminiscent of those seen in fluids. Magnetic resonance imaging provides a sensitive and noninvasive probe for the detection of these convection currents, which have otherwise been difficult to observe. A magnetic resonance imaging study of convection in a column of poppy seeds yielded data about the detailed shape of the convection rolls and the depth dependence of the convection velocity. The velocity was found to decrease exponentially with depth; a simple model for this behavior is presented here.

Dry granular material confined to a cylindrical vessel convects when subjected to either continuous or discrete vertical oscillations of sufficient intensity. Particles flow upward in the center of the container and fall in a thin stream along the wall. We have studied this motion experimentally in three-dimensional cylinders for a variety of material, container, and vibration parameters using tracer particle techniques and magnetic resonance imaging. By combining these methods, we have characterized both the depth and radial dependence of the vertical flow velocity. We find that the upward flow velocity along the cylinder axis decays exponentially from the top free surface into the bulk of the material. This flow decreases and changes direction as the inner container walls are approached, displaying a radial dependence closely approximated by either a hyperbolic cosine or a modified Bessel function of order zero. We propose a simple model of granular convection consistent with these findings.

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Experiments were performed to determine whether changes in T2*-weighted MR images during and after hyperoxia differentiate tumors from normal tissue. Mammary adenocarcinomas implanted in the right hind limbs of rats were studied. Gradient echo images were obtained at 2 Tesla with an evolution time of 20 ms and a recycle time of 1 s. Breathing gas was either air or 100% O2. Significant increases in image intensity were observed in tumor centers and rims during hyperoxia while much smaller changes were detected in the surrounding muscle. The relaxation rate (1/T2*) in tumors decreased during hyperoxia by an average of 2.5 +/- 1.0 s-1, while in muscle the average change was an increase of 0.6 +/- 2.1 s-1. The largest decreases in relaxation rate were detected in non-necrotic tumor regions with relatively low density of blood vessels. Immediately following hyperoxia significant decreases in intensity were detected in tumors while much smaller decreases were detected in the surrounding muscle.

The purpose of this study is to describe four new delivery schemes for intensity-modulated radiation therapy (IMRT). In the first two schemes the order in which segments are delivered is varied from fraction to fraction. The last two delivery schemes employ fixed order of segments. The obtained results indicate that the suggested approaches can significantly reduce the so-called "overshoot" and "undershoot" phenomena and the associated discrepancies between planned and delivered monitor units.