Rigidity of multi-graphs. I. Linking rigid bodies in n-space

A linkage of rigid bodies in n-space consists of a set of n-dimensional rigid bodies in n-space, certain pairs of which are linked together by one or more rigid bars using universal (ball) joints. Such a structure is canonically associated (bodies to vertices, bars to edges) with a multi-graph. We show that a multi-graph can be realized as a rigid linkage of rigid bodies in n-space if and only if it contains $\text{n(n + 1)}\text{2}$ edge disjoint spanning trees. Some techniques for generating rigid linkages are also discussed.     

Do columnar defects produce bulk pinning?

From magneto-optical imaging performed on heavy-ion-irradiated YBa(2)Cu(3)O(7-delta) single crystals, it is found that at fields and temperatures where strong single vortex pinning by individual irradiation-induced amorphous columnar defects is to be expected, vortex motion is limited by the nucleation of vortex kinks at the specimen surface. In the material bulk, vortex motion occurs through (easy) kink sliding. Depinning in the bulk determines the screening current only at fields comparable to or larger than the matching field, at which the majority of vortices is not trapped by an ion track.     

条纹投影形貌测量的品质评估位相展开

0Introduction Phaseunwrappingisrelatedtomanyresearchdisciplinesincludingopticalmetrology,synthetic apertureradar,acousticimaging,magneticresonanceimaging(MRI)andmicrowaveinterferometry.AnexcellenttextbookbyGhigliaandPritt[1]presentedthefundamentaltheoryan…     

Quality Guided Phase Unwrapping for Fringe Projection Profilometry

0Introduction Phaseunwrappingisrelatedtomanyresearchdisciplinesincludingopticalmetrology,synthetic apertureradar,acousticimaging,magneticresonanceimaging(MRI)andmicrowaveinterferometry.AnexcellenttextbookbyGhigliaandPritt[1]presentedthefundamentaltheoryandvariousalgorithms ofphaseunwrapping.Thispaperwillfocusonasocalledquality guidedphaseunwrappingapproach.Inthisapproach,aqualitymapgeneratedbyacertainphasequalityevaluationcriterionisincorporated toguidetheunwrappingprocess.Attheprimitivesta…     

Floating resistivity detector for microchip electrophoresis

A newly developed conductivity detector, the floating resistivity detector (FRD), for microchip electrophoresis was introduced in this work. The detector design permits decoupling of the detection circuit from the high separation voltage without compromising separation efficiency. This greatly simplifies the integration of microchip electrophoresis systems. Its method of detection relies on platinum electrodes being dipped in two buffer-filled branched detection probe reservoirs on the microchip device. In this way, analytes passing through the detection window will not pass through and subsequently adsorb onto the electrodes, alleviating problems of electrode fouling due to analyte contamination and surface reactions. A customized microchip design was proposed and optimized stepwise for the new FRD system. Each branched detection probe was determined to be 4.50 mm long with a 0.075 mm detection window gap between them. The distance between the detection window and buffer waste reservoir was determined to be 1.50 mm. The optimized microchip design was subsequently used in the analysis of four groups of analytes - inorganic cations, amino acids, aminoglycosides antibiotics, and biomarkers. Based on the preliminary results obtained, the detection limits were in the range of 0.4-0.7 mg/L for the inorganic cations and 1.5-15 mg/L for the amino compounds.     

Multi-step microfluidic device for studying cancer metastasis

This paper describes a multi-step microfluidic device for studying the deformation and extravasation of primary tumor cells. Prior to extravasation, primary tumor cells undergo sequential steps of deformation through the capillaries, before adhering and transmigrating through the endothelial lining and basement membrane. To study this cascade of events, we fabricated a multi-step microfluidic device whose microgaps were coated with Matrigel to mimic the basement membrane. The microchannel was lined with human microvascular endothelial cells (HMECs) to replicate the endothelial lining. Analysis of deformation, biological and migratory capabilities of various tumor cell lines viz. HepG2, HeLa, and MDA-MB 435S were quantified using the fabricated device. After deformation, the cells' viabilities were significantly reduced and their doubling times were simultaneously increased, indicating changes in their biological capability. However, cell deformation did not significantly reduce their cell motility. Cell motility was co-assessed using the cell's migration rate and the overall population's percentage migration under various conditions (no barrier, Matrigel and Matrigel-HMEC). The device was also used to quantify the effects of Matrigel and the endothelial lining on cell migration. Our results suggest that both played an independent role in inhibiting cell extravasation, with the Matrigel significantly slowing down cell movement and the endothelial lining reducing the total number of transmigrated cells.     

Significance of water molecules in the inhibition of cylin-dependent kinase 2 and 5 complexes

Interest in CDK2 and CDK5 has stemmed mainly from their association with cancer and neuronal migration or differentiation related diseases and the need to design selective inhibitors for these kinases. In the present paper, eight Molecular Dynamics (MD) simulations are carried out to examine the importance of structure and dynamics of water in the active site of both CDK2 and CDK5 complexes with roscovitine and indirubin analogues. Together with previous results, the current work shows a highly conserved water-involved hydrogen bonding (HB) network in both CDK2- and CDK5-indirubin combinations to complete information from the X-ray crystallography. The simulations suggest the importance of such a network for combining the inhibitor to the host protein as well as the significance of using an activated CDK as a template when designing new inhibitors. Different binding patterns of roscovitine in CDK2 and CDK5 are detected during the simulations because of the different binding conformations of the group on the C2 side chain, which might offer a clue toward finding highly selective inhibitors with regards to CDK2 and CDK5.     

Rapid identification of purified enteropathogenic Escherichia coli by microchip electrophoresis

In this work, the potential of PDMS-based microchip electrophoresis in the identifications and characterizations of microorganism was evaluated. Enteropathogenic E. coli (EPEC) was selected as the model microorganism. In this study, separation parameters such as applied voltage, concentrations of buffer and buffer modifier, injection voltage, and duration of injection had been investigated and optimized. Determination of EPEC bacteria could be completed within 2 min with good reproducibility. RSDs were less than 0.5 and 5% in migration time and peak area, respectively. Separation efficiency corresponding to plate number of more than 100,000 was achieved. In order to obtain reproducible separations, sample pretreatment was found to be essential. Microchip electrophoresis with LIF detection could potentially revolutionize certain aspects of microbiology involving diagnosis, profiling of pathogens, environmental analysis, and many other areas of study.     

A 3-D dielectrophoretic filter chip

The paper presents a 3-D filter chip employing both mechanical and dielectrophoretic (DEP) filtration, and its corresponding microfabrication techniques. The device structure is similar to a classical capacitor: two planar electrodes, made from a stainless steel mesh, and bonded on both sides of a glass frame filled with round silica beads. The solution with the suspension of particles flows through both the mesh-electrodes and silica beads filter. The top stainless steel mesh (with openings of 60 mum and wires of 30 mum-thickness) provides the first stage of filtration based on mechanical trapping. A second level of filtration is based on DEP by using the nonuniformities of the electric field generated in the capacitor due to the nonuniformities of the dielectric medium. The filter can work also with DC and AC electric fields. The device was tested with yeast cells (Saccharomyces cerevisae) and achieved a maximal trapping efficiency of 75% at an applied AC voltage of 200 V and a flow rate of 0.1 mL/min, from an initial concentration of cells of 5 x 10(5) cells/mL. When the applied frequency was varieted in the range between 20 and 200 kHz, a minimal value of capture efficiency (3%) was notticed at 50 kHz, when yeast cells exhibit negative DEP and the cells are repelled in the space between the beads.