Condensed Matter Theory

Abstract:

We analyze an ideal-gas-like model of a trading market with quenched random saving factors for its agents and show that the steady state income (m) distribution P(m) in the model has a power law tail with Pareto index nu exactly equal to unity, confirming the earlier numerical studies on this model. The analysis starts with the development of a master equation for the time development of P(m) . Precise solutions are then obtained in some special cases.

Abstract:

Classical and quantum annealing is discussed in the case of a generalized kinetically constrained model, where the relaxation dynamics of a system with trivial ground state is retarded by the appearance of energy barriers in the relaxation path, following a local kinetic rule. Effectiveness of thermal and quantum fluctuations in overcoming these kinetic barriers to reach the ground state are studied. It has been shown that for certain barrier characteristics, quantum annealing might by far surpass its thermal counter part in reaching the ground state faster.

Abstract:

The assignment of infectious potency to test articles of adenovirus has been conducted mainly using classical end-point dilution methods, which rely on virus induced cytopathology to reveal the presence of infectious virus. These assays suffer the disadvantages of labor intensity, duration, throughput restriction and variability. In the course of our development of an Ad5 based HIV vaccine for clinical evaluation, we sought a facile method for the assignment of potency to the numerous test articles generated during the development of bioprocesses for bulk manufacture, downstream purification and formulation. In this paper we describe a quantitative PCR based potency assay (QPA) which uses QPCR to quantitate adenovirus genomes replicated 24h after the inoculation of a test article on 293 cell monolayers, and then relates that mass to potency by interpolation to a standard curve of replicated adenovirus genomes constructed with a reference adenovirus standard to which infectious potency has been previously assigned in the classical end-point dilution assay. The QPA assay for adenovirus is simple and rapid, with a throughput capacity adequate to the potency assay demands of bioprocess development, and with a precision expressed as a root variability of 16.8% R.S.D., allowing for close discriminations of the products of alternative process configurations. The adenovirus QPA principle can be applied to the quantitation of infectious potency of both RNA and DNA viruses and we report briefly on the development of QPA assays for measles and mumps. QPA assays owing to their simplicity and easy automation, rapidity, capacity and precision hold promise to become widely practiced methods for the quantitation of the potency of live virus vaccines and other recombinant virus vectors.