Integral equation formulation for buoyancy-driven convection problems

An integral equation formulation for buoyancy-driven convection problems is developed and illustrated. Buoyancy-driven convection in a bounded cylindrical geometry with a free surface is studied for a range of aspect ratios and Nusselt numbers. The critical Rayleigh number, the nature of the cellular motion, and the heat transfer enhancement are computed using linear theory. Green's functions are used to convert the linear problem into linear Fredholm integral equations. Theorems are proved which establish the properties of the eigenvalues and eigenfunctions of the linear integral operator which appears in these equations.     

Cosmological constraints on supergravity models

We delineate the domain of supersymmetry breaking parameters in minimal supergravity models for which the cosmological relic photino density is no larger than the closure density. Demanding that the relic density equal the closure density as suggested by inflationary cosmology suggests $\text{m}{}_{\mathrm{<mtext>q</mtext><mtext>?</mtext>}}\text{～ 42}\text{GeV}\text{+ 0.89 m}{}_{\mathrm{<mtext>g</mtext><mtext>?</mtext>}}$. We point out that several supergravity scenarios for the monojet events at the CERN $\text{p}$p Collider would yield a relic density considerably greater than the closure density.     

Can ϵ be predicted?

The suggestion that long distance effects from η and η′ intermediate state contribute to $\text{Im}\text{〈}\text{K}{}^0\text{¦H¦}\text{K}{}^0\text{〉}$ made by Donoghue and Holstein is examined. A quantitative analysis confirms their conclusion. A systematic search for all long distance effects was made. With certain reasonable assumptions there are no other important long distance contributions. An uncertainty in the theoretical prediction for ? is also discussed.     

Permanently oriented antibody immobilization for digoxin determination with a flow-through fluoroimmunosensor

This paper reports a new flow-through fluoroimmunosensor, the function of which is based on antibodies immobilized on an inmunoreactor of controlled-pore glass (CPG), for determination of digoxin, used in the treatment of congestive heart failure and artery disease. The immunosensor has a detection limit of 1.20 microg L(-1) and provides high reproducibility (RSD=4.5% for a concentration of 0.0025 mg L(-1), and RSD=6.7% for 0.01 mg L(-1)). The optimum working concentration range was found to be 1.2 x 10(-3)-4.0 x 10(-2) mg L(-1). The lifetime of the immunosensor was about 50 immunoassays; if stored unused its lifetime can be extended to three months. A sample speed of about 10-12 samples per hour can be attained. Possible interference from substances with structures similar to digoxin (morphine, heroin, tebaine, codeine, pentazocine and narcotine) was investigated. No cross-reactivity was seen at the highest digoxin: interferent ratio studied (1:100). The proposed fluoroimmunosensor was successfully used to determine digoxin concentrations in human serum samples.