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Notes: Guided tissue regeneration (GTR) is a concept that evolved from the development of membrane-barrier techniques, which allow the repopulation of periodontal wounds by specific cells, resulting in a new attachment apparatus. To help understand the biological mechanisms involved in membrane barrierled periodontal healing, the present study investigated the macromolecules phenotypic of bone and cementum formation in tissues grown under the GTR barrier by immunolocalization. Periodontal regeneration was initiated by placing barriers on experimentally induced periodontal defects in a Rhesus monkey model. Samples were harvested 6 wk after healing and sections of soft tissues grown under GTR barriers (membrane tissue) were stained with antibodies to bone morphogenetic proteins-2 and 4 (BMP-2, BMP-4), bone morphogenetic protein-7 (OP-1), cementum attachment protein (CAP), osteonectin (OTN) and bone sialoprotein (BSP). Tissues grown in the absence of any barrier device served as a control (control tissue). Membrane periodontal tissues from beneath the ePTFE membrane were comprised of spindle-shaped fibroblast-like cells encased in a dense fibrillar extracellular matrix (ECM). Round-shaped cells aggregated to form nodules. Newly formed hard tissue was conspicuous. A similar, but very disorganized, fiber network was observed in control tissues, but neither nodule formation nor hard tissue was observed. Osteonectin staining was observed in the ECM of membrane tissues and particularly in the area of the connective tissue adjacent to newly formed hard tissue. The dense network of connective tissue fibers was also stained. In control tissues, cells and fiber network had a significantly weaker signal for osteonectin. An intense reaction was observed in membrane tissues stained for BSP, particularly the connective tissue adjacent to the newly formed hard tissue, while the control tissues did not stain for BSP. Cementum attachment protein (CAP) was observed in the connective tissue adjacent to the newly formed hard tissue of the membrane tissues whereas control tissues exhibited no CAP staining. In membrane tissues, BMP-2 and 4 distribution was found to concentrate in nodule areas, in the newly formed hard tissue and in the fiber network, while very faint staining was observed in control sections. The distribution of OP-1 in membrane and control tissues was found to mimic the BMP-2 pattern, but staining was more distributed in hard tissue matrix. When the profile of BMP-2, BMP-4, OP-1, OTN. CAP and BSP staining was analyzed on membrane tissue sections, striking similarities were noted in the connective tissue adjacent to the newly formed hard tissue and in nodular areas. In addition, the localization of BMP-2 and BMP-4 mRNA was investigated in both tissues by in situ hybridization. An intense expression of BMP-2 and 4 transcripts was observed in membrane tissues while control tissues never yielded any positive hybridization signal. The correlation between these histochemical findings strongly suggests that the forming soft tissues under ePTFE membranes contain cells and ECM macromolecules normally associated with bone and cementum.

Notes: Summary.  We determined the subcellular localization of hepatitis C viral (HCV) proteins as a first step towards the understanding of the functions of these proteins in the mammalian cell (CHO-K1). We used fluorescence emitted from green fluorescent protein (GFP)-fused to the viral proteins to determine the subcellular localization of the viral proteins. We found that most of the viral proteins were excluded from the nucleus. Core exhibited a globular pattern near the nucleus. NS2 was concentrated in the perinuclear space. NS4A accumulated in the ER and the Golgi regions. NS3 was detected in the nucleus as well as the cytoplasm, when it was expressed by itself. However, NS3 became restricted to the cytoplasm, when it was produced together with NS4A. NS4B showed a spot-like pattern throughout the cytoplasm. NS5A and NS5B were distributed throughout the cytoplasm in a mesh-like pattern. These results can provide a basis for further investigations into the functions of the HCV proteins.

Notes: The aim of our work was to find an unambiguous connection between irreversible macroscopic dynamics and reversible microdynamics that makes it possible to manifest irreversibility on a submacroscopic level without the use of coarse graining arguments. On this level the state of a physical system can be described by a field amplitude Ψ and the time evolution of this system is determined by a field equation for Ψ. For conservative systems, this field equation is formally identical with the linear Schrödinger equation, which can be constructed with the help of the classic Hamiltonian function for the corresponding problem. Regarding irreversible phenomena like damping due to a frictional force, for those dissipative systems no classic Hamiltonian function exists. Therefore the corresponding field equation cannot be obtained in the usual way. Nevertheless, also for dissipative systems it is possible to obtain a field equation in an unambiguous way using only Newton's form of classic mechanics. The result of our method is a nonlinear Schrödinger-type field equation with a logarithmic nonlinearity. We discuss in more detail the properties of our logarithmic nonlinearity that corresponds to a macroscopic frictional force in a unique way. A figurative interpretation in terms of environment and interaction can be given. From a more formal point of view, the compatibility of our nonlinear operator with principles known from the theory of linear operators is investigated. One of the surprising results is the fact that although our nonlinear Hamiltonian HNL is “Hermitean” in the usual sense, in contrast to the linear theory an operator exp(i · HNL) is not unitary. Furthermore, in our theory the time-derivative of the mean value of an operator is not only essentially determined by (the mean value of) its commutator with the Hamiltonian. There also occurs an additional term that causes irreversibility of the evolution and is connected with the feature of our theory that (in general) time derivative and construction of the mean value are no longer commuting operations. This fact shows some similarity with coarse graining theories, but in our theory the reason can be traced back unambiguously to an irreversible physical phenomenon.

Notes: With the aid of a method similar to the one we used in an earlier work (part I) a new Schrödinger-type field equation with logarithmic nonlinearity can be derived from a Fokker-Planck equation for a distribution function. This nonlinear field equation describes the frictinally damped motion of a system under the influence of a magnetic field and can be interpreted in the same way as the nonlinear Schrödinger-type equation (NLSE) derived in part I, where no magnetic fields were taken into account. The NLSE for the two-dimensional motion of a charged material system in a homogeneous magnetic field is solved exactly. The solutions are compared with the quantum-mechanical solutions of the corresponding undamped problem. The method is extended to include also anisotropic conditions; i.e., in the Fokker-Plank equation the diffusion constant has to be replaced by a diffusion matrix, as different diffusion constants may be possible for different space directions. We regard the three-dimensional motion under the combined influence of magnetic and electric fields according to K = (q/c)(v × B) + qE - mγv with Ey = (m/q)ωt2y, Ez = -(m/q)ωt2z, B = (0, 0, B) as an example. This is an approximation of the conditions existing in an ion cyclotron resonance spectrometry cell, neglecting an additional drift motion in the x direction which could be taken into account by Galilean transformation and gauge transformation. The corresponding NLSE for the coupled three-dimensional motion is specified and solved exactly.