An application of the point vortex method to the singular Biot–Savart integrals used in water wave calculations is presented. The error for this approximation is shown to be a series in odd powers of h. A method for calculating the coefficients in the series is presented.

We elaborate the physics of systems of unconstrained, reconnecting vortex filaments with dynamic finite cores of uniform ("quantized") circulation interacting via Biot-Savart and viscous forces. The phenomenology of this purely structured turbulent system includes an inertial range with Kolmogorov's k(-5/3) scaling for the energy spectrum, as well as Kolmogorov's linear in r scaling for the thi...

Determination of the presence of HER2 amplification by quantitative PCR has been challenging, in part due to chromosomal instability and identification of a robust a reference region. We assessed the potential of digital PCR for highly accurate assessment of DNA concentration with EFTUD2 as chromosome 17 reference probe. We assessed a HER2:EFTDU2 ratio by digital PCR assay in the microdissected...

Our objective was to prospectively determine the factors influencing the probability of a good microbiological or clinical outcome in patients with nosocomial pneumonia treated with a fluoroquinolone. Levofloxacin was administered as an infusion of 500 mg/h for 1.5 h (total dose, 750 mg). For patients with Pseudomonas aeruginosa or methicillin-resistant Staphylococcus aureus, a second drug was ...

The rate-limiting enzyme in lipolysis, adipose triglyceride lipase (ATGL), is activated by comparative gene identification-58 (CGI-58) and inhibited by the G(0)/G(1) switch gene-2 (G0S2) protein. It is speculated that inhibition of ATGL is through a dose dependent manner of relative G0S2 protein content. There is little work examining G0S2 expression in lipolytic tissues, and the relative expre...

It is well known that the incompressible Euler equations in two dimensions have globally regular solutions. The inviscid surface quasi-geostrophic (SQG) equation has a Biot-Savart law which is one derivative less regular than in the Euler case, and the question of global regularity for its solutions is still open. We study here the patch dynamics in the half-plane for a family of active scalars...

We solve exactly the problem of calculating the electromagnetic fields produced by a finite wire with a constant current, by using two methods: retarded potentials and Jefimenko’s formalism. One result in this particular case is that the usual Biot–Savart law of magnetostatics gives the correct magnetic field of the problem. We also show graphically the corresponding Poynting vector.

Margaret H. Butler$$, Karen DouvilleS, Amy A. MurnaneSll, Neal R. Kramarcy 11, Jonathan B. Cohen**, Robert Sealock11 , and Stanley C. Froehnerz $$ From the $Department of Bwchemistly, Dartmouth Medical School, Hanouer, New Hampshire 03755, the )I Department of Physiology, University of North Carolina, Chapel Hill, North Carolina 27599, and the **Department of Anatomy and Neurobiology, Washingto...