Symplectic Gravity Models in Four, Three and Two Dimensions

A class of the $D=4$ gravity models describing a coupled system of $n$ Abelian vector fields and the symmetric $n \times n$ matrix generalizations of the dilaton and Kalb-Ramond fields is considered. It is shown that the Pecci-Quinn axion matrix can be entered and the resulting equations of motion possess the $Sp(2n, R)$ symmetry in four dimensions. The stationary case is studied. It is established that the theory allows a $\sigma$-model representation with a target space which is invariant under the $Sp[2(n+1), R]$ group of isometry transformations. The chiral matrix of the coset $Sp[2(n+1), R]/U(n+1)$ is constructed. A K\"ahler formalism based on the use of the Ernst $(n+1) \times (n+1)$ complex symmetric matrix is developed. The stationary axisymmetric case is considered. The Belinsky-Zakharov chiral matrix depending on the original field variables is obtained. The Kramer-Neugebauer transformation, which algebraically maps the original variables into the target space ones, is presented.Comment: 21 pages, RevTex, no figurie

Chiral models in dilaton-Maxwell gravity

We study symmetry properties of the Einstein-Maxwell theory nonminimaly coupled to the dilaton field. We consider a static case with pure electric (magnetic) Maxwell field and show that the resulting system becomes a nonlinear sigma-model wich possesses a chiral representation. We construct the corresponding chiral matrix and establish a representation which is related to the pair of Ernst-like potentials. These potentials are used for separation of the symmetry group into the gauge and nongauge (charging) sectors. New variables, which linearize the action of charging symmetries, are also established; a solution generation technique based on the use of charging symmetries is formulated. This technique is used for generation of the elecricaly (magneticaly) charged dilatonic fields from the static General Relativity ones.Comment: 9 pages in LaTex; published in Gen. Rel. Grav. 32 (2000) pp 1389-139

Soliton solution in dilaton-Maxwell gravity

The inverse scattering problem method application to construction of exact solution for Maxwell dilaton gravity system ia considered. By use of Belinsky and Zakharov L - A pair the solution of the theory is constructed. The rotating Kerr - like configuration with NUT - parameter is obtained.Comment: 8 pages in LaTex; published in Gen. Rel. Grav. pp. 32 (2000) 2219-222

U(1,1)--Invariant Generation of Charges for Einstein--Maxwell--Dilaton--Axion Theory

The action of the isometry subgroup which preserves the trivial values of the fields is studied for the stationary D=4 Einstein--Maxwell--Dilaton--Axion theory. The technique for generation of charges and the corresponding procedure for construction of new solutions is formulated. A solution describing the double rotating dyon with independent values of all physical charges is presented.Comment: 14 pages, RevTex, no figurie

Ergodicity criteria for non-expanding transformations of 2-adic spheres

In the paper, we obtain necessary and sufficient conditions for ergodicity (with respect to the normalized Haar measure) of discrete dynamical systems $$ on 2-adic spheres $\mathbf S_{2^{-r}}(a)$ of radius $2^{-r}$, $r\ge 1$, centered at some point $a$ from the ultrametric space of 2-adic integers $\mathbb Z_2$. The map $f\colon\mathbb Z_2\to\mathbb Z_2$ is assumed to be non-expanding and measure-preserving; that is, $f$ satisfies a Lipschitz condition with a constant 1 with respect to the 2-adic metric, and $f$ preserves a natural probability measure on $\mathbb Z_2$, the Haar measure $\mu_2$ on $\mathbb Z_2$ which is normalized so that $\mu_2(\mathbb Z_2)=1$

STIMULATING EFFECT OF HIGH DOSE HEPARIN ON MIGRATION ACTIVITY AND MSC STEMNESS PRESERVATION IN THE PRESENCE OF BONE-SUBSTITUTING MATERIALS

Synthetic materials used in regenerative medicine, upon implantation, induce the development of an inflammatory reaction necessary for the effective regeneration of damaged bone tissue. Implant contact with tissues is accompanied by the deposition of blood proteins and interstitial fluid on its surface, contributing to the activation of the complement system, components of innate immunity, initiating coagulation hemostasis, leading to the formation of a fibrin clot. An extracellular matrix based on fibrin, collagen and elastin forms on the implant’s surface, which provides the basis for the formation of tissue structure through the adhesion of stem cells to the forming bone callus before the formation of bone regenerate. To prevent the development of postoperative pathological conditions caused by hypercoagulable syndrome, therapeutic strategies are used to use anticoagulants (heparin, warfarin). However, their use limits the normal formation of a fibrin clot in vivo. This can slow down the migration of mesenchymal stem cells (MSC) and disrupt the formation of callus, inhibiting the processes of osseointegration of the implant and bone healing. The study’s goal was to study the effect of heparin in a gradient of low and high concentrations on the migration activity and stem capacity of human MSCs under in vitro cultivation conditions. According to the results of flow cytometry, it was revealed that high concentrations of heparin (130, 260 IU/ml) in a 2D cultivation model contribute to an increase in the number of cells expressing surface markers CD73 and CD90, which indicates that MSCs retain high clonogenic potential. A 3D model of in vitro cultivation with the addition of heparin and osteosubstituting implants bearing a CF coating with a roughness index of Ra = 2.6-4.9 μm contributed to preserving the “stemness” character of MSCs through the expression of surface markers CD73 and CD90. According to the results obtained using the xCELLigence system, heparin at a later time (from 20-40 hours) increases the invasion of MSCs through micropores that simulate the state of the blood vessel walls. However, in the presence of HAP nanoparticles that mimic the remodeling processes of the mineral bone matrix and/or resorption of bone cement, the effect of heparin was less pronounced. The results can be used in the field of regenerative medicine associated with the introduction of MSCs. The data can serve as a prerequisite for developing new therapeutic strategies for surgical patients with a high risk of postoperative thrombosis after osteosynthesis

Mesenchymal stem cells: a brief review of classis concepts and new factors of osteogenic differentiation

Molecular genetic mechanisms, signaling pathways, cultural conditions, factors, and markers of osteogenic differentiation of mesenchymal stem cells (MSC) are actively studied despite numerous works in this area of cellular technologies. This is largely due to the accumulating contradictions in seemingly classical knowledge, as well as permanent updating of the results in the field. In this regard, we focused on the main classical concepts and some new factors and mechanisms that have a noticeable regulatory effect on the differentiation potential of postnatal MSCs. The present review considers the significance of MSC sources for their differentiation capacity, as well as the role of the cellular microenvironment. The issues of classification, terminology, and functional activity of MSCs from various sources are discussed. The paracrine potential of MSCs in tissue regeneration has been considered; sufficient importance of inflammation in osteogenesis is noted, in particular, the presence of inflammatory cytokines and chemokines in the lesion focus, produced not only by microenvironmental cells but also by blood cells, including mononuclear leukocytes, migrating to the affected site. An important role in this review is given to biomechanical signals and to influence of conformational changes in cell cytoskeleton (cell shape) upon MSC differentiation, since the morphological features of cells and the structure of cytoskeleton are modulated by interactions of the cell surface with environmental factors, including hydrostatic pressure, fluid flow, compression/stretching loads. The data are presented concerning elasticity of extracellular matrix being a determining factor of cell differentiation. We conclude that one should switch from point studies of individual gene effects to multiple measurements of the gene-regulatory profile and biomolecules responsible for multiple, still poorly studied osteogenic factors of endogenous and exogenous origin. Among cornerstones in future (epi)genetic studies will be to decide if osteomodulatory effects are realized through specific signaling pathways and/or via cross-signaling with known genes controlling osteogenic differentiation of MSCs

Layered nanomaterials for renewable energy generation and storage

This study focuses on potential applications of two-dimensional (2D) materials in renewable energy research.</jats:p