Biomedical subjects

Vojtech Kopský

Publications and source records attributed to Vojtech Kopský.

5 recordsLinked to original sources

PubMed2006

Unified system of Hermann-Mauguin symbols for groups of material physics. 1. Groups with decomposable lattices.

The system of Hermann-Mauguin symbols for space and subperiodic Euclidean groups in two and three dimensions is extended to groups with continuous and semicontinuous translation subgroups (lattices). An interpretation of these symbols is proposed in which each symbol defines a quite specific Euclidean group with reference to a crystallographic basis, including the location of the group in space. Symbols of subperiodic (layer and rod) groups are strongly correlated with symbols of decomposable space groups on the basis of the factorization theorem. Introduction of groups with continuous and semicontinuous lattices is connected with a proposal for several new terms that describe the properties of these groups and with a proposal to amend the meaning of space groups and of crystallographic groups. Charts of plane, layer and space groups describe variants of these groups with the same reducible point group but various types of lattices. Examples of such charts are given for plane, layer and space groups to illustrate the unification principle for groups with decomposable lattices.

Journal Article↗

PubMed2006

Application of modern tensor calculus to engineered domain structures. 1. Calculation of tensorial covariants.

This article is a roadmap to a systematic calculation and tabulation of tensorial covariants for the point groups of material physics. The following are the essential steps in the described approach to tensor calculus. (i) An exact specification of the considered point groups by their embellished Hermann-Mauguin and Schoenflies symbols. (ii) Introduction of oriented Laue classes of magnetic point groups. (iii) An exact specification of matrix ireps (irreducible representations). (iv) Introduction of so-called typical (standard) bases and variables -- typical invariants, relative invariants or components of the typical covariants. (v) Introduction of Clebsch-Gordan products of the typical variables. (vi) Calculation of tensorial covariants of ascending ranks with consecutive use of tables of Clebsch-Gordan products. (vii) Opechowski's magic relations between tensorial decompositions. These steps are illustrated for groups of the tetragonal oriented Laue class D(4z) -- 4(z)2(x)2(xy) of magnetic point groups and for tensors up to fourth rank.

Journal Article↗

PubMed2006

Application of modern tensor calculus to engineered domain structures. 2. Tensor distinction of domain states.

The theory of domain states is reviewed as a prerequisite for consideration of tensorial distinction of domain states. It is then shown that the parameters of the first domain in a ferroic phase transition from a set of isomorphic groups of the same oriented Laue class can be systematically and suitably represented in terms of typical variables. On replacing these variables by actual tensor components according to the previous paper, we can reveal the tensorial parameters associated with each particular symmetry descent. Parameters are distinguished by the ireps to which they belong and this can be used to determine which of them are the principal parameters that distinguish all domain states, in contrast to secondary parameters which are common to several domain states. In general, the parameters are expressed as the covariant components of the tensors. A general procedure is described which is designed to transform the results to Cartesian components. It consists of two parts: the first, called the labelling of covariants, and its inverse, called the conversion equations. Transformation of parameters from the first domain state to other states is now reduced to irreducible subspaces whose maximal dimension is three in contrast with higher dimensions of tensor spaces. With this method, we can explicitly calculate tensor parameters for all domain states. To find the distinction of pairs of domain states, it is suitable to use the concept of the twinning group which is briefly described.

Journal Article↗

PubMed2005

Leptin concentrations in the abdominal subcutaneous adipose tissue of patients with anorexia nervosa assessed by in vivo microdialysis.

OBJECTIVE: The adipocyte-derived hormone leptin is involved in energy metabolism and body weight regulation. Plasma leptin concentrations are significantly reduced in patients with anorexia nervosa (AN) and with severe malnutrition. Whether reduced plasma leptin is reflected by its decreased production by the adipose tissue is unknown. METHODS: In the present study we measured leptin concentrations locally in the abdominal subcutaneous adipose tissue of 9 female AN patients and 11 healthy controls by in vivo microdialysis. RESULTS: Adipose tissue free leptin levels were not different in patients with AN compared to controls (2.59+/-1.99 vs 2.36+/-0.25 ng/ml, P>0.05). Plasma leptin soluble receptor (sOb-R) levels were significantly higher in patients with AN than in healthy subjects (58.05+/-38.69 vs 12.79+/-5.08 U/ml, P<0.01). The area of adipocyte in AN was considerably smaller than in the controls (183+/-104.01 microm2 compared to 2145.8+/-1003.41). CONCLUSIONS: We conclude that decreased plasma leptin levels in patients with AN are not directly related to dialysate leptin levels in the abdominal subcutaneous adipose tissue.

Adipose Tissue↗

PubMed2004

Space-group scanning tables.

Owing to page limitations, in Volume E: Subperiodic Groups of International Tables for Crystallography not all scanning tables were explicitly given. Instead, auxiliary tables were given providing information from which to construct the additional tables. The tables have been constructed and are presented here.

Journal Article↗