Dual double arterial phase dynamic MR imaging with sensitivity encoding (SENSE): which is better for diagnosing hypervascular hepatocellular carcinomas, in-phase or opposed-phase imaging?

The purpose of this study was to investigate the efficacy of sensitivity encoding (SENSE) dynamic magnetic resonance imaging (MRI) with the dual (in-phase and opposed-phase) double arterial phase to detect hypervascular hepatocellular carcinomas (HCCs). MR images of the liver from 44 consecutive patients were obtained. Dynamic MRI with SENSE was performed six times (precontrast, early arterial, late arterial, 1 min, 3 min and 5 min after contrast injection) at 11 s per scan using the gradient recalled echo sequence (TR/TE/flip angle = 168/2.3 and 4.6/70). In-phase and opposed-phase images were obtained simultaneously each scan. For the quantitative analysis, the signal-to-noise ratio (S/N) of HCC and tumor-to-liver contrast-to-noise ratio (C/N) were analyzed for 55 HCCs. The mean S/N of HCCs on in-phase images showed significantly higher values than that on opposed-phase images regarding all phases (P < 0.001). In arterial phases, the mean tumor-to-liver C/N for in-phase images was significantly higher than that for opposed-phase images (P < 0.05). In portal and delayed-phase images, the mean tumor-to-liver C/N in opposed-phase images showed a negative value. In six HCCs with fatty metamorphosis, the mean tumor-to-liver C/N on arterial phase images approached zero in opposed-phase, while it showed a positive value in-phase. In dual double arterial phase dynamic MRI of the liver, in-phase images were superior to opposed-phase images for detecting early enhancement of hypervascular HCCs, while the latter were superior for detecting washout of contrast media from HCCs in the portal and delayed phase. The combination of both images overcomes the difficulty of diagnosing hypervascular HCCs with fatty metamorphosis.     

Mixing times of the biased card shuffling and the asymmetric exclusion process

Consider the following method of card shuffling. Start with a deck of cards numbered 1 through . Fix a parameter between 0 and 1. In this model a ``shuffle' consists of uniformly selecting a pair of adjacent cards and then flipping a coin that is heads with probability . If the coin comes up heads, then we arrange the two cards so that the lower-numbered card comes before the higher-numbered card. If the coin comes up tails, then we arrange the cards with the higher-numbered card first. In this paper we prove that for all , the mixing time of this card shuffling is , as conjectured by Diaconis and Ram (2000). Our result is a rare case of an exact estimate for the convergence rate of the Metropolis algorithm. A novel feature of our proof is that the analysis of an infinite (asymmetric exclusion) process plays an essential role in bounding the mixing time of a finite process.

     

Harmonic and analytic functions on graphs

Harmonic and analytic functions have natural discrete analogues. Harmonic functions can be defined on every graph, while analytic functions (or, more precisely, holomorphic forms) can be defined on graphs embedded in orientable surfaces. Many important properties of the "true" harmonic and analytic functions can be carried over to the discrete setting. We prove that a nonzero analytic function can vanish only on a very small connected piece. As an application, we describe a simple local random process on embedded graphs, which have the property that observing them in a small neighborhood of a node through a polynomial time, we can infer the genus of the surface.     

MR imaging of radiation osteitis in the sacroiliac joints

The purpose of this study was to analyze magnetic resonance (MR) images of radiation osteitis of sacroiliac joints, retrospectively. Seven patients with radiation osteitis, which was diagnosed by pelvic plain radiographs and CT images, underwent MRI. T(1)-weighted spin echo images and T(2)-weighted fast spin echo images were obtained in all patients. Four patients were examined after gadolinium injection. Major signal changes of radiation osteitis were distributed on the iliac side. T(1)-weighted images showed diffuse low intensity both in sacral and iliac sides. T(2)-weighted images showed very low intensity adjacent to sacroiliac joints, but mixed intensity was illustrated apart from joints, and high intensity in the peripheral areas. Radiation osteitis showed slight to mild, but irregular enhancement in four patients after gadolinium administration. MRI can illustrate abnormal bone change distribution and is useful for diagnosing this entity by characteristic intensity patterns on T(1)-weighted images with and without gadolinium and T(2)-weighted image. However, the diagnosis of accompanied insufficiency fractures in the area of radiation osteitis is occasionally difficult with conventional MRI.     

Hexosome and hexagonal phases mediated by hydration and polymeric stabilizer

In this research, we studied the factors that control formation of GMO/tricaprylin/water hexosomes and affect their inner structure. As a stabilizer of the soft particles dispersed in the aqueous phase, we used the hydrophilic nonionic triblock polymer Pluronic 127. We demonstrate how properties of the hexosomes, such as size, structure, and stability, can be tuned by their internal composition, polymer concentration, and processing conditions. The morphology and inner structure of the hexosomes were characterized by small-angle X-ray scattering, cryo-transmission electron microscope, and dynamic light scattering. The physical stability (to creaming, aggregation, and coalescence) of the hexosomes was further examined by the LUMiFuge technique. Two competing processes are presumed to take place during the formation of hexosomes: penetration of water from the continuous phase during dispersion, resulting in enhanced hydration of the head groups, and incorporation of the polymer chains into the hexosome structure while providing a stabilizing surface coating for the dispersed particles. Hydration is an essential stage in lyotropic liquid crystal (LLC) formation. The polymer, on the other hand, dehydrates the lipid heads, thereby introducing disorder into the LLC and reducing the domain size. Yet, a critical minimum polymer concentration is necessary in order to form stable nanosized hexosomes. These competing effects require the attention of those preparing hexosomes. The competition between these two processes can be controlled. At relatively high polymer concentrations (1-1.6 wt % of the total formulation of the soft particles), the hydration process seems to occur more rapidly than polymer adsorption. As a result, smaller and more stable soft particles with high symmetry were formed. On the other hand, when the polymer concentration is fixed at lower levels (<1.0 wt %), the homogenization process encourages only partial polymer adsorption during the dispersion process. This adsorption is insufficient; hence, maximum hydration of the surfactant head group is reached prior to obtaining full adsorption, resulting in the formation of less ordered hexosomes of larger size and lower stability.     

Is the critical percolation probability local?

We show that the critical probability for percolation on a d-regular non-amenable graph of large girth is close to the critical probability for percolation on an infinite d-regular tree. We also prove a finite analogue of this statement, valid for expander graphs, without any girth assumption.     

Formulation design of taste-masked particles, including famotidine, for an oral fast-disintegrating dosage form

In this study, the taste-masking of famotidine, which could apply to any fast-disintegrating tablet, was investigated using the spray-dry method. The target characteristics of taste-masked particles were set as follows: the dissolution rate is not to be more than 30% at 1 min and not less than 85% at 15 min, and the particle size is not to be more than 150 microm in diameter to avoid a gritty feeling in the mouth. The target dissolution profiles of spray-dried particles consisting of Aquacoat ECD30 and Eudragit NE30D or triacetin was accomplished by the screening of formulas and the appropriate lab-scale manufacturing conditions. Lab-scale testing produced taste-masked particles that met the formulation targets. On the pilot scale, spray-dried particles with attributes, such as dissolution rate and particle size, of the same quality were produced, and reproducibility was also confirmed. This confirmed that the spray-dry method produced the most appropriate taste-masked particles for fast-disintegrating dosage forms.     

NO(2) dissociation on Ag(111) revisited by theory

NO(2) dissociation on Ag(111) is investigated with first-principles calculations. For single NO(2) molecules, a high adsorption potential energy is found to prohibit dissociation. This result is surprising as experiments indicate dissociation at low temperatures. Neither entropy effects nor irregularities in the potential energy surface can remedy the discrepancy. Instead it is proposed that collective Eley-Rideal type of reaction mechanisms can drive the dissociation.