Explicit Free Parameterization of the Modified Tetrahedron Equation

The Modified Tetrahedron Equation (MTE) with affine Weyl quantum variables at N-th root of unity is solved by a rational mapping operator which is obtained from the solution of a linear problem. We show that the solutions can be parameterized in terms of eight free parameters and sixteen discrete phase choices, thus providing a broad starting point for the construction of 3-dimensional integrable lattice models. The Fermat curve points parameterizing the representation of the mapping operator in terms of cyclic functions are expressed in terms of the independent parameters. An explicit formula for the density factor of the MTE is derived. For the example N=2 we write the MTE in full detail. We also discuss a solution of the MTE in terms of bosonic continuum functions.Comment: 28 pages, 3 figure

Conserved Charges in the Principal Chiral Model on a Supergroup

The classical principal chiral model in 1+1 dimensions with target space a compact Lie supergroup is investigated. It is shown how to construct a local conserved charge given an invariant tensor of the Lie superalgebra. We calculate the super-Poisson brackets of these currents and argue that they are finitely generated. We show how to derive an infinite number of local charges in involution. We demonstrate that these charges Poisson commute with the non-local charges of the model

The modified tetrahedron equation and its solutions

A large class of 3-dimensional integrable lattice spin models is constructed. The starting point is an invertible canonical mapping operator in the space of a triple Weyl algebra. This operator is derived postulating a current branching principle together with a Baxter Z-invariance. The tetrahedron equation for this operator follows without further calculations. If the Weyl parameter is taken to be a root of unity, the mapping operator decomposes into a matrix conjugation and a C-number functional mapping. The operator of the matrix conjugation satisfies a modified tetrahedron equation (MTE) in which the "rapidities" are solutions of a classical integrable Hirota-type equation. The matrix elements of this operator can be represented in terms of the Bazhanov-Baxter Fermat curve cyclic functions, or alternatively in terms of Gauss functions. The paper summarizes several recent publications on the subject.Comment: 24 pages, 6 figures using epic/eepic package, Contribution to the proceedings of the 6th International Conference on CFTs and Integrable Models, Chernogolovka, Spetember 2002, reference adde

On Spin Calogero-Moser system at infinity

We present a construction of a new integrable model as an infinite limit of Calogero models of N particles with spin. It is implemented in the multicomponent Fock space. Explicit formulas for Dunkl operators, the Yangian generators in the multicomponent Fock space are presented. The classical limit of the system is examined

Interaction of ballistic quasiparticles and vortex configurations in superfluid He3-B

The vortex line density of turbulent superfluid He3-B at very low temperature is deduced by detecting the shadow of ballistic quasiparticles which are Andreev reflected by quantized vortices. Until now the measured total shadow has been interpreted as the sum of shadows arising from interactions of a single quasiparticle with a single vortex. By integrating numerically the quasi-classical Hamiltonian equations of motion of ballistic quasiparticles in the presence of nontrivial but relatively simple vortex systems (such as vortex-vortex and vortex-antivortex pairs and small clusters of vortices) we show that partial screening can take place, and the total shadow is not necessarily the sum of the shadows. We have also found that it is possible that, upon impinging on complex vortex configurations, quasiparticles experience multiple reflections, which can be classical, Andreev, or both.Comment: To appear in Phys Rev

RECONSTRUCTIVE OPERATIONS ON THE PERMANENT VASCULAR ACCESS FOR HEMODIALYSIS

In patients with end stage renal failure it is vitally necessary to have permanent long functioning vascular access, providing all requirements of modern hemodialysis. Authors have evaluated the terms of functioning of arterio- venous fistulas after operations at 56 patients. Undertaking reconstructive operation on arteriovenous fistula allows to enlarge duration of the permanent vascular access function for two years in average

Possibility of using a mouse SCID as a model animal to variola virus for evaluating anti-smallpox drug efficacy

At present, there is no animal model for smallpox that reflects the weakened immune system in people and can therefore help assess the prophylactic (highly preventive) efficiency of antiviral drugs. To fill in the gap, we have explored the possibility of using outbred immunodeficient SCID mice as a model animal for smallpox with the aid of virolo­gical, histological and electron microscopic and sta­tistical methods. There was no clinical evidence of disease by intranasal infection of mice at a dose of 5.2 log10 PFU (plaque forming units). At the same time, the 50 % infective dose (ID50) of VARV estimated for animals by registering the presence of the virus in their lungs after 4 days post i.n. infection was 3.5 log10 PFU and was relatively similar to that in humans, theoretically determined by identification of the clinical picture of the disease. Virus replication was detected only in the respiratory organs of mice challenged i.n. with VARV at a dose of 5.2 log10 PFU (50 ID50). The values for its concentrations in the lungs and nose resembled those for affected people and well-known animal models (Macaca cynomolgus and ICR mice), respiratorily infected with VARV at similar doses. The existing model animals were not significantly different from SCID mice in the duration of viral presence in the lungs. Moreover, in SCID mice, as in humans and other animal models, similar pathomor- phological changes of inflammatory necrotic nature in the respiratory organs have been reported. Using SCID mice in assessing the prophylactic efficacy of the antiviral drugs NIOCH-14 and ST-246 demonstrated the adequacy of the results obtained to those described in the literature. This opens up the prospect of using SCID mice as an animal model for smallpox to develop antiviral drugs intended for people with severe immuno­suppressive states

Assessment of Animal Sensitivity to Particularly Dangerous Orthopoxviruses, Using Primary Cultures of Lung Cells

Objective of the study is to investigate the sensitivity of different animals to highly pathogenic Orthopoxviruses applying techniques, based on utilization of primary cultures of lung cells, and to assess the possibility of further deployment of this approach. Materials and methods. Cultural and virological research methods are used. Results and conclusions. Performed is the assessment of sensitivity of outbred mice, marmots and chickens to variola virus (VV) and monkeypox virus (MPV), using suspended primary cultures of lung cells (SPCLC) of these animals. Through inoculation of the mentioned above cell cultures with VV and MPV in a dose of 0.00001 PFU per a cell (plaque forming unit /cell) demonstrated has been virus replication with maximum concentration values in all cases (1,4 - 2,0 lg PFU/ml), mainly 3 days after infection. According to the data on SPCLC, sensitivity to VV in mice, marmots and chickens (ID50 - 50 % infective dose) amounts to (1,3 ± 0,5) lg PFU; (2,3 ± 0,5) lg PFU; and (0,0 ± 0,4) lg PFU respectively, taking into account unhindered interaction of the virus with permissive lung cells in the organism of the animals. As for MPV values for this indicator, they are: (1,7 ± 0,3) lg PFU for mice, and (0,5 ± 0,3) lg PFU - for marmots. Obtained ID50 values for VV using mice SPCLC and for MPV using mice and marmots SPCLC coincide with the ones, studied in direct experiments on intranasal infection with the viruses, with regard to 10 % of the viral application in lungs when deploying the latter method of infection. The fact testifies to the possibility of further deployment of this method for the assessment of animal sensitivity to highly pathogenic Orthopoxviruses based on the results of in vitro experiments