Parameter and domain dependence of eigenvalues of elliptic partial differential equations.
Parameter and domain dependence of eigenvalues of elliptic partial differential equations
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Parameter and domain dependence of eigenvalues of elliptic partial differential equations
General formula for homogeneous second-order differential equation by Lie series, noting computer application
Matric generalization of polar coordinate transformation to second order matrix differential system
Algorithm for construction of discrete approximations to linear differential expressions in terms of ordinates
Liapunov function from quadratic polynomial for n-order nonlinear differential equations
Inhomogeneous second order linear differential equation solution based on Lie formalism, presenting physical applications
Characterization of eigenvalues of singular nonself-adjoint differential operator of second order
Collagenase-3 mRNA is initially detectable when osteoblasts cease proliferation, increasing during differentiation and mineralization. We showed that this developmental expression is due to an increase in collagenase-3 gene transcription. Mutation of either the activator protein-1 or the runt domain binding site decreased collagenase-3 promoter activity, demonstrating that these sites are responsible for collagenase-3 gene transcription. The activator protein-1 and runt domain binding sites bind members of the activator protein-1 and core-binding factor family of transcription factors, respectively. We identified core-binding factor a1 binding to the runt domain binding site and JunD in addition to a Fos-related antigen binding to the activator protein-1 site. Overexpression of both c-Fos and c-Jun in osteoblasts or core-binding factor a1 increased collagenase-3 promoter activity. Furthermore, overexpression of c-Fos, c-Jun, and core-binding factor a1 synergistically increased collagenase-3 promoter activity. Mutation of either the activator protein-1 or the runt domain binding site resulted in the inability of c-Fos and c-Jun or core-binding factor a1 to increase collagenase-3 promoter activity, suggesting that there is cooperative interaction between the sites and the proteins. Overexpression of Fra-2 and JunD repressed core-binding factor a1-induced collagenase-3 promoter activity. Our results suggest that members of the activator protein-1 and core-binding factor families, binding to the activator protein-1 and runt domain binding sites are responsible for the developmental regulation of collagenase-3 gene expression in osteoblasts.
We investigated the regulation of collagenase-3 expression in normal, differentiating rat osteoblasts. Fetal rat calvarial cell cultures showed an increase in alkaline phosphatase activity reaching maximal levels between 7-14 days post-confluence, then declining with the onset of mineralization. Collagenase-3 mRNA was just detectable after proliferation ceased at day 7, increased up to day 21, and declined at later ages. Postconfluent cells maintained in non-mineralizing medium expressed collagenase-3 but did not show the developmental increase exhibited by cells switched to mineralization medium. Cells maintained in non-mineralizing medium continued to proliferate; cells in mineralization medium ceased proliferation. In addition, collagenase-3 mRNA was not detected in subcultured cells allowed to remineralize. These results suggest that enhanced accumulation of collagenase-3 mRNA is triggered by cessation of proliferation or acquisition of a mineralized extracellular matrix and that other factors may also be required. After initiation of basal expression, parathyroid hormone (PTH) caused a dose-dependent increase in collagenase-3 mRNA. Both the cyclic adenosine monophosphate (cAMP) analogue, 8-bromo-cAMP (8-Br-cAMP), and the protein kinase C (PKC) activator, phorbol myristate acetate, increased collagenase-3 expression, while the calcium ionophore, ionomycin, did not, suggesting that PTH was acting through the protein kinase A (PKA) and PKC pathways. Inhibition of protein synthesis with cycloheximide caused an increase in basal collagenase-3 expression but blocked the effect of PTH, suggesting that an inhibitory factor prevents basal expression while an inductive factor is involved with PTH action. In summary, collagenase-3 is expressed in mineralized osteoblasts and cessation of proliferation and initiation of mineralization are triggers for collagenase-3 expression. PTH also stimulates expression of the enzyme through both PKA and PKC pathways in the mineralizing osteoblast. Copyright 1999 Wiley-Liss, Inc.
The transduction mechanism (or mechanisms) responsible for converting a mechanical load into a skeletal muscle growth response are unclear. In this study we have used a mechanically active tissue culture model of differentiated human skeletal muscle cells to investigate the relationship between mechanical load, sarcolemma wounding, fibroblast growth factor release, and skeletal muscle cell growth. Using the Flexcell Strain Unit we demonstrate that as mechanical load increases, so too does the amount of sarcolemma wounding. A similar relationship was also observed between the level of mechanical load inflicted on the cells and the amount of bFGF (FGF2) released into the surrounding medium. In addition, we demonstrate that the muscle cell growth response induced by chronic mechanical loading in culture can be inhibited by the presence of an antibody capable of neutralizing the biological activity of FGF. This study provides direct evidence that mechanically induced, sarcolemma wound-mediated FGF release is an important autocrine mechanism for transducing the stimulus of mechanical load into a skeletal muscle growth response.
Conditions of disuse in bed rest patients, as well as microgravity experienced by astronauts are accompanied by reduced mechanical loading, reduced calcium absorption, and lower serum levels of 1,25(OH)2D3 (1,25-D), the active metabolite of vitamin D, all contributing to bone loss. To determine whether 1,25-D or a less calcemic analog, Seocalcitol or EB1089 (1 alpha,25-dihydroxy-22,24-diene-24,26,27-trihomovitamin D3) can alleviate bone loss in a rat hindlimb unloading model of disuse osteopenia, mature male rats originally on a vitamin D replete diet containing 1.01% calcium were transferred to a vitamin D-deficient diet containing 0.48% calcium and then tail suspended and treated for 28 days with vehicle, 0.05 microg/kg 1,25-D, or 0.05 microg/kg EB1089. The vitamin D-deficient diet caused a substantial decrease in bone mineral density (-8%), which may be compounded by hindlimb unloading (-10%). Exogenous 1,25-D not only prevented the bone loss but also increased the bone mineral density to greater than the baseline level (+7%). EB1089 was less effective in preventing bone loss. Analysis of site and cell-specific effects of 1,25-D and EB1089 revealed that 1,25-D was more active than EB1089 in the intestine, the site of calcium absorption, and in inducing osteoclastogenesis and bone resorption whereas EB1089 was more effective in inducing osteoblast differentiation. These studies suggest that elevating circulating 1,25-D levels presumably increasing calcium absorption can counteract bone loss induced by disuse or microgravity with its associated reductions in circulating 1,25-D and decreased calcium absorption.
We describe the development, demonstration, and applications of the NASA Global Differential GPS (GDGPS) system, an effort that is funded under the Advanced Information Systems Technology (AIST) Program.
Data from SIR-C and ERS-1 were used in an attempt to measure uplift in the Long Valley area of northern California using differential inteferometric techniques.
This paper presents the implementation of a new class of massively parallel algorithms for solving certain time-dependent partial differential equations (PDEs) on massively parallel-supercomputers.
Evolutionary partial differential equations are usually solved by decretization in time and space, and by applying a marching in time procedure to data and algorithms potentially parallelized in the spatial domain.
The technique of determining spacecraft angular position by Delta Differential One-Way Ranging (DeltaDOR) is described. The dependence of measurement accuracy on parameters which define the spacecraft signal spectrum is shown. An illustration of DeltaDOR measurement accuracy, using the Mars Observer spacecraft, is presented. Guidelines for specifying spacecraft tone spectra are presented based on typical accuracy and ambiguity resolution needs, on frequency allocation for deep space tracking, on the efficient use of spacecraft signal power, and on the efficient use of ground tracking resources.
Non-steady differential rotation drive by bouyancy forces within the Earth's liquid outer core (OC) plays a key role not only in the generation of the main geomagnetic field by the magnetohydrodynamic (MHD) dynamo process but also in the excitation of irregular fluctuations in the angular speed of rotation of the overlying solid mantle, as evidenced by changes in the length of the day (LOD) on decadal and longer timescales (1-8).
A method is described for the empirical determination of altitude-range resolutions of ozone profiles obtained by differential absorption lidar (DIAL) analysis.