[Assessment of severity of lesions of arterial basins in patients with multifocal atherosclerosis].

The present study was aimed at working out a methodology combining clinical, haemodynamic, and functional parameters of lesions of arterial basins in patients presenting with concomitant lesions of the aortic arch branches and arteries of lower extremities. The authors retrospectively investigated the results of examining a total of 181 patients operated on for concomitant atherosclerotic lesions of the aortic arch branches, terminal portion of the abdominal aorta, and lower limb arteries. In patients subjected as the first stage to interventions on the aortic arch branches (Group 1), the index of severity of the lesion of the aortic arch branches (Cs) was higher than in those from Groups 2 and 3.

Soliton transport in tubular networks: transmission at vertices in the shrinking limit.

Soliton transport in tubelike networks is studied by solving the nonlinear Schrödinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of the reflection at vertices on the graph thickness and on the angle between its bonds is studied and related to a special case considered in our previous work, in the limit when the thickness of the graph goes to zero. It is found that both the wave function and reflection coefficient reproduce the regime of reflectionless vertex transmission studied in our previous work.

Bernoulli's formula and Poisson's equations for a confined quantum gas: effects due to a moving piston.

We study a nonequilibrium equation of states of an ideal quantum gas confined in the cavity under a moving piston with a small but finite velocity in the case in which the cavity wall suddenly begins to move at the time origin. Confining ourselves to the thermally isolated process, the quantum nonadiabatic (QNA) contribution to Poisson's adiabatic equations and to Bernoulli's formula which bridges the pressure and internal energy is elucidated. We carry out a statistical mean of the nonadiabatic (time-reversal-symmetric) force operator found in our preceding paper [Nakamura et al.

Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation.

We elucidate the case in which the Ablowitz-Ladik (AL)-type discrete nonlinear Schrödinger equation (NLSE) on simple networks (e.g., star graphs and tree graphs) becomes completely integrable just as in the case of a simple one-dimensional (1D) discrete chain.

Ideal quantum gas in an expanding cavity: nature of nonadiabatic force.

We consider a quantum gas of noninteracting particles confined in the expanding cavity and investigate the nature of the nonadiabatic force which is generated from the gas and acts on the cavity wall. First, with use of the time-dependent canonical transformation, which transforms the expanding cavity to the nonexpanding one, we can define the force operator. Second, applying the perturbative theory, which works when the cavity wall begins to move at time origin, we find that the nonadiabatic force is quadratic in the wall velocity and thereby does not break the time-reversal symmetry, in contrast with general belief.