[Invariants of the anthropometrical proportions].

In this work a general interpretation of a modulor as scales of segments proportions of anthropometrical modules (extremities and a body) is made. The objects of this study were: 1) to reason the idea of the growth modulor; 2) using the modern empirical data, to prove the validity of a principle of linear similarity for anthropometrical segments; 3) to specify the system of invariants for constitutional anthropometrics.

[Dynamic reconstruction of the fish locomotory wave].

The inverse hydrodynamic task of the synthesis of a wave driver for aquatic organisms, in particular of fishes, has been solved. A multilink model of bending oscillations and the optimum phasings of transverse-rotary vibrations of parts was considered, which provides a maximum driving force of each link for two cases of the hydrodynamic interaction of the parts with water: the force of viscous resistance for a longitudinal and a transverse component of the vector of movement of a segment is proportional to (1) the speed of movement (linear friction) and (2) the square of speed (square-law friction). It was shown that the optimum phasings of link vibrations for transverse and rotary modes are strictly orthogonal for the variant of linear friction or are close to orthogonal in the case of square-law friction.

[Effect of vibration on the structure and properties of polymer membranes].

The influence of vibration (nonlinear wave effects) on the properties of films based on mixtures of some butadiene-styrene and acrylic latex by infrared spectroscopy was investigated. An enhancement of interactions in heterogenous systems was found, which may cause changes in their local and translation mobility.

[Problems of structural and functional identification of biological tissues].

The theoretical methods of identification of topological and functional parameters for biological tissues, such as myocardium, are considered. Among the unknown topological parameters are the dimension and connectivity of a network, and the unknown functional parameters include the electrical resistance of the cellular membrane and cytoplasm. Experimentally known data are the sizes of cells (length and diameter), the input resistance of tissue, and also the field of electrical potential formed by a "dot" current source (by an intracellular microelectrode).