Morphometric model of lymphocyte as applied to scanning flow cytometry

The peripheral blood lymphocytes of normal individuals are investigated by methods of specialized light microscopy. Lymphocytes as a whole and T-cell subpopulation are considered. Lymphocyte structure is characterized with reference to polarizing scanning flow cytometry. The lymphocyte and lymphocyte nucleus shapes are analyzed. Linear correlation dependence between sizes of lymphocyte and its nucleus is indicated. A morphometric model of a lymphocyte is constructed using the obtained data. The findings can be used, for instance, as input parameters to solve the direct and inverse light-scattering problems of turbidimetry, nephelometry, and flow cytometry.     

Conformal variables in the numerical simulations of long-crested rogue waves

The recently suggested theoretical model for highly nonlinear potential long-crested water waves is discussed, where weak three-dimensional effects are included as small corrections to exact two-dimensional equations written in terms of the conformal variables [V.P. Ruban, Phys. Rev. E 71, 055303(R) (2005)]. Some numerical results based on this theory are presented, which describe spontaneous formation of rogue waves on the deep water for different initial conditions. In particular, the given numerical examples describe: (i) nonlinear stage of the modulational instability, (ii) breathing rogue wave in a random wave field, and (iii) freak wave in a weakly crossing sea state.     

Growth and characterization of nano‐crystalline hydroxyapatite at physiological conditions

Pure, stable stoichimetric nano crystalline hydroxyapatite material was crystallized by double diffusion technique at physiological conditions, temperature at 37°C and pH at 7.4. The sample was sintered at 400°C, 750°C and 1200°C with equal interval of time. They were characterized by X‐ray diffraction studies, Fourier Transformation Infra‐Red analysis, Thermogravimetric analysis, Scanning Electron Microscopic studies and Atomic Force Microscopic studies. The X‐ray analysis confirmed that the grown crystals are to be the pure form of hydroxyapatite. Infra‐red studies confirmed CO free hydroxyapatite. Thermogravimetric studies showed the thermal stability of the hydroxyapatite crystals even at 1200°C. The presence of pores in the sintered sample was traced by scanning electron microscopy. Atomic force microscopy revealed the presence of nano crystalline HAP of size 0.958 nanometer in the samples grown using this technique. At higher temperature the deagglomeration of bulk phases and agglomeration of nano phases leads to the nano crystalline HAP were observed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

A Uniformly Valid Asymptotic Approach to the Inviscid–Viscous Interaction Theory

An issue in the well-known traditional crisscross interaction theory frequently used to describe the boundary layer instability development over curved surfaces is that a strong singularity exists, even in the linear regime, which manifests itself in the form of infinite growth of self-excited oscillations for the wave numbers l = O (1) and k →∞. This implies that something essential is missing in the formulation, making the Cauchy problem mathematically ill posed, and this, in turn, casts doubts on the validity of calculations made earlier by several researchers using the crisscross interaction theory for investigating laminar-turbulent transition. The derivation of the theory, therefore, needs re-examining. In this article, a key approach is taken; namely, a uniformly valid composite asymptotic expansion procedure is proposed in an effort to suppress the unrealistic amplification of the disturbances at any time in space. As a matter of fact, the triple-deck structure of the disturbance field remains intact as a whole and serves as a basis for the extended asymptotic theory. The backbone of the process inherently involves restoring the longitudinal pressure gradient term accounting for the second-order approximation in asymptotic expansions for the outermost and innermost sublayers of the conventional crisscross interaction region. The new system as a result has additional terms depending on a small parameter based on the local reference Reynolds number and the curvature of the surface. The new Cauchy model is eventually free from any singularity in the context of the composite approach. The modified linear dispersion relation is obtained and treated both analytically and numerically, and it is verified that the proposed model becomes well posed for a suitably chosen additional parameter.     

Characteristics of Interactions in the Pectin–Chitosan System

Interpolymeric complexes have been obtained from citric pectin and chitosan, the latter synthesized from crab chitin. The composition and structure of complexes obtained from different ratios of the components were studied by IR spectroscopy, rheological investigation of gel structure, and mathematical modelling of system properties. Rheological investigation of the processes involved in the formation of interpolymeric complexes with gel structures from citric pectin and chitosan was conducted in moderately concentrated solutions containing different ratios of the components. It was shown that the toughness of the gel structures was determined by the ratio of the amounts of the heterogeneous polymers. The toughest product (τ=121.4 Pa) was obtained by use of equimolar quantities of pectin and chitosan. With deviation of the composition of the mixture from equimolar the toughness of the gel decreased. It is proposed that the polyelectrolyte pectin–chitosan complex with a network structure is formed at the expense of electrostatic interaction between positively charged amino groups at C-2 of the chitosan pyranose ring and negatively charged carboxyl groups at the C-5 of the pectin pyranose ring.