Mechanics of raceway hysteresis in a packed bed

When a gas is introduced at high velocity through a nozzle into a packed bed, it creates a raceway in the packed bed. It has been found that the raceway size is larger when it is formed by decreasing the gas velocity from its highest value than when it is formed by increasing the gas velocity. This phenomenon is known as raceway hysteresis. A hypothesis has been oroposed to explain the hysteresis phenomenon based on a force-balance approach which includes frictional, bed-weight, and pressure forces. According to this hypothesis, the frictional force acts in different directions when the raceway is expanding and contracting. In this article, the entire packed bed has been divided into radial and Cartesian co-ordinate systems, and the forces acting on the raceway have been solved analytically for a simplified one-dimensional case. Based on the force-balance approach, a general equation has been obtained to predict the diameter of the raceway for increasing And decreasing velocities. A reasonable agreement has been found between the theoretical predictions and experimental observations. The model has also been compared with published experimental and plant data. The hysteresis mechanism in the packed beds can be described reasonably by taking into consideration the direction of frictional forces for the increasing- and decreasin-velocity cases. The effects of the particleshape factor and void fraction on the raceway hysteresis are examined.

Complex numbers and symmetries in quantum mechanics, and a nonlinear superposition principle for Wigner functions

Complex numbers appear in the Hilbert space formulation of quantum mechanics, but not in the formulation in phase space. Quantum symmetries are described by complex, unitary or antiunitary operators defining ray representations in Hilbert space, whereas in phase space they are described by real, true representations. Equivalence of the formulations requires that the former representations can be obtained from the latter and vice versa. Examples are given. Equivalence of the two formulations also requires that complex superpositions of state vectors can be described in the phase space formulation, and it is shown that this leads to a nonlinear superposition principle for orthogonal, pure-state Wigner functions. It is concluded that the use of complex numbers in quantum mechanics can be regarded as a computational device to simplify calculations, as in all other applications of mathematics to physical phenomena.

Mechanics of cellular adhesion to artificial artery templates

We are using polymer templates to grow artificial artery grafts in vivo for the replacement of diseased blood vessels. We have previously shown that adhesion of macrophages to the template starts the graft formation. We present a study of the mechanics of macrophage adhesion to these templates on a single cell and single bond level with optical tweezers. For whole cells, in vitro cell adhesion densities decreased significantly from polymer templates polyethylene to silicone to Tygon (167, 135, and 65 cells/mm(2)). These cell densities were correlated with the graft formation success rate (50%, 25%, and 0%). Single-bond rupture forces at a loading rate of 450 pN/s were quantified by adhesion of trapped 2-mm spheres to macrophages. Rupture force distributions were dominated by nonspecific adhesion (forces, < 40 pN). On polystyrene, preadsorption of fibronectin or presence of serum proteins in the cell medium significantly enhanced adhesion strength from a mean rupture force of 20 pN to 28 pN or 33 pN, respectively. The enhancement of adhesion by fibronectin and serum is additive (mean rupture force of 43 pN). The fraction of specific binding forces in the presence of serum was similar for polystyrene and polymethyl-methacrylate, but specific binding forces were not observed for silica. Again, we found correlation to in vivo experiments, where the density of adherent cells is higher on polystyrene than on silica templates, and can be further enhanced by fibronectin adsorption. These findings show that in vitro adhesion testing can be used for template optimization and to substitute for in-vivo experiments.

Orbital currents and charge density waves in a generalized Hubbard ladder

We study a generalized Hubbard model on the two-leg ladder at zero temperature, focusing on a parameter region with staggered flux (SF)/d-density wave (DDW) order. To guide our numerical calculations, we first investigate the location of a SF/DDW phase in the phase diagram of the half-filled weakly interacting ladder using a perturbative renormalization group (RG) and bosonization approach. For hole doping 6 away from half-filling, finite-system density-matrix renormalizationgroup (DMRG) calculations are used to study ladders with up to 200 rungs for intermediate-strength interactions. In the doped SF/DDW phase, the staggered rung current and the rung electron density both show periodic spatial oscillations, with characteristic wavelengths 2/delta and 1/delta, respectively, corresponding to ordering wavevectors 2k(F) and 4k(F) for the currents and densities, where 2k(F) = pi(1 - delta). The density minima are located at the anti-phase domain walls of the staggered current. For sufficiently large dopings, SF/DDW order is suppressed. The rung density modulation also exists in neighboring phases where currents decay exponentially. We show that most of the DMRG results can be qualitatively understood from weak-coupling RG/bosonization arguments. However, while these arguments seem to suggest a crossover from non-decaying correlations to power-law decay at a length scale of order 1/delta, the DMRG results are consistent with a true long-range order scenario for the currents and densities. (c) 2005 Elsevier Inc. All rights reserved.

Periocular and Orbital Amyloidosis. Clinical Characteristics, Management, and Outcome

Objective: To present the clinical features and management outcome in a large series of patients with periocular and orbital amyloidosis. Design: Retrospective, noncomparative, interventional case series. Patients: All patients diagnosed with periocular and orbital amyloidosis in 6 oculoplastic and orbital units. Methods: Clinical records of all patients were reviewed. Main Outcome Measures: Clinical presentation, radiological and histological findings, treatment modalities, and outcome. Results. The study included 24 patients (15 female, 9 male) with a mean age of 57 17 years. Nineteen cases were unilateral, and 5 were bilateral. Clinical signs and symptoms included a visible or palpable periocular mass or tissue infiltration (95.8%), ptosis (54.2%), periocular discomfort or pain (25%), proptosis or globe displacement (21%), limitations in ocular motility (16.7%), recurrent periocular subcutaneous hemorrhages (12.5%), and diplopia (8.3%). Seven cases had orbital involvement, and 17 were periocular. Immunohistochemistry in 7 patients showed B cells or plasma cells producing monoclonal immunoglobulin chains that were deposited as amyloid light chains. Only 1 patient was diagnosed with systemic amyloid light chain amyloidosis. Treatment modalities were mainly observation and surgical debulking. During a mean follow-up period of 39 months, 21% showed significant progression after treatment, whereas 79% were stable or showed no recurrence after treatment. Conclusion: Periocular and orbital amyloidosis may present with a wide spectrum of clinical findings and result in significant ocular morbidity. Complete surgical excision is not feasible in many cases, and the goal of treatment is to preserve function and to prevent sight-threatening complications.

Idiopathic sclerosing orbital inflammation

Objective: To perform a multicenter review of the clinical features and treatment of 31 patients with idiopathic sclerosing orbital inflammation. Methods: We included all patients with histologically confirmed idiopathic sclerosing orbital inflammation from 5 regional orbital centers. We reviewed the case notes to determine the clinical presentation, diagnostic features, and response to treatment. The main outcome measures were duration and nature of symptoms, anatomical location of disease, histopathological findings, treatment modalities, treatment efficacy and adverse effects, and final clinical status. Results: We included 13 male and 18 female patients ranging in age from 7 to 83 years. The average duration of symptoms at presentation was 13.4 months. There was a predilection for the lateral and superior quadrants. Thirteen patients had apical disease, and 4 had extraorbital involvement. Histopathological findings invariably showed sclerosis associated with a sparse mixed cellular infiltrate. Twenty- seven patients were treated with oral prednisolone, response to which was good in 9 patients, partial in 11, and poor in 7. Six patients were treated with a second- line immunosuppressive agent, and 6 received radiotherapy. The response to radiotherapy was generally poor. Conclusions: Idiopathic sclerosing orbital inflammation is a rare condition that can be difficult to diagnose and manage. Early intervention with immunosuppression in the form of corticosteroids combinedwith secondline agents can result in control and even regression of the disease.