Prediction of rectified diffusion during nonlinear bubble pulsations at biomedical frequencies

A computer study of rectified diffusion was made over the biomedical frequency range (1-10 MHz). Solutions of the Gilmore-Akulichev [E. Cramer, in Cavitation and Inhomogeneities in Underwater Acoustics, edited by W. Lauterborn (Springer, New York, 1980), pp. 54-63] formulation for bubble dynamics were combined with the Eller-Flynn [A. Eller and H.G. Flynn, J. Acoust. Soc. Am. 37, 493-503 (1965)] approach to rectified diffusion in order to calculate thresholds and growth rates. It is found that: (1) for frequencies above 1 MHz, the widely held view that small bubbles grow by rectified diffusion to "resonance size" and then collapse violently is true only for narrow ranges of bubbles; (2) growth rates in the low megahertz range can be quite high for medically relevant pressures, approximately 20 micron/s at 1 MHz, 1 bar; (3) thresholds derived analytically are accurate for low frequencies over a wide range of bubble radii but, for high frequencies, only near the fundamental resonance radius; and (4) thresholds are quite sensitive to dissolved gas concentration at low frequencies.     

A spectroscopic investigation into the reaction of sodium tetrathionate with cysteine

A spectroscopic investigation into the reaction of sodium tetrathionate with cysteine at pH 5 both at the boil and at room temperature has been carried out. The Raman and infrared spectra of the model compounds cysteine, cysteine-S-sulfonate, cysteine-S-thiosulfonate, sodium thiosulfate and sodium sulfite were also obtained and vibrations involving the sulfur atoms were analyzed in detail. These results were utilized in the interpretation of the spectra obtained from tetrathionate-cysteine reaction mixtures. The reaction supernatants were analyzed by high performance thin layer chromatography while the precipitates were analyzed gravimetrically. It was found that during the reaction, the thiol groups of cysteine are oxidised to give predominantly cysteine-S-sulfonate. Cystine was also detected but was determined gravimetrically to be a minor reaction product. No significant amounts of cysteine-S-thiosulfonate were detected. The reaction is accompanied by the formation of elemental sulfur and a small amount of sulfite. Major reaction pathways are put forth that are consistent with the experimental data.     

A theoretical study of cavitation generated by an extracorporeal shock wave lithotripter

The intense acoustic wave generated at the focus of an extracorporeal shock wave lithotripter is modeled as the impulse response of a parallel RLC circuit. The shock wave consists of a zero rise time positive spike that falls to 0 at 1 microsecond followed by a negative pressure component 6 microseconds long with amplitudes scaled to +1000 and -160 bars, P+ and P-, respectively. This pressure wave drives the Gilmore-Akulichev formulation for bubble dynamics; the zero-order effect of gas diffusion on bubble response is included. The negative pressure component of a 1000-bar shock wave will cause a preexisting bubble in the 1- to 10-microns range to expand to over 100 times its initial size, R0, for 250 microseconds, with a peak radius of approximately 1400 microns, then collapse very violently, emitting far UV or soft x-ray photons (black body). Gas diffusion does not appreciably mitigate the amplitude of the pressure wave radiated at the primary collapse, but does significantly reduce the collapse temperature. Diffusion also increases the bubble radius from R0 up to 40 microns and extends the duration of ringing following the primary collapse, assuming that the bubble does not break up or shed microbubbles. Results are sensitive to P+/P- and to the duration of the negative pressure cycle but not to rise time.     

An improved understanding of the dispersion of multi-walled carbon nanotubes in non-aqueous solvents

Regenerable antimicrobial N-halamine/silica hybrid nanoparticles (NPs) containing chlorinated 5,5-dimethylhydantoinyl (Cl-DMH) groups, Cl-DMH/SiO₂ hybrid NPs, have been prepared by a co-condensation reaction between N-(3-triethoxysilylpropyl)-5,5-dimethylhydantoin (TS-DMH) and tetraethoxysilane (TEOS) and then a chlorination reaction in NaClO solution. The as-synthesized Cl-DMH/SiO₂ NPs were characterized by transmission electron microscopy, Scanning electron microscopy, X-ray photoelectron spectra, Specific surface area, Differential scanning calorimetry, and Fourier transform infrared. Experimental results showed that the size of the as-synthesized Cl-DMH/SiO₂ NPs could be well adjusted by changing the mass ratio of TS-DMH/TEOS and the volume ratio of 28 % NH₄OH/H₂O. Antimicrobial tests showed that the as-prepared Cl-DMH/SiO₂ hybrid NPs had excellent antimicrobial activities against both Escherichia coli and Staphylococcus aureus. The minimum inhibitory concentration and minimum bactericidal concentration values of the as-prepared Cl-DMH/SiO₂ hybrid NPs are 15 and 20 μg/mL for S. aureus, 25 and 30 μg/mL for E. coli, respectively. Paper disk diffusion assay showed that smaller-sized Cl-DMH/SiO₂ hybrid NPs have bigger inhibition zone diameters, indicating stronger antimicrobial efficacies. Also, the storage stability and regenerability of Cl-DMH/SiO₂ hybrid NPs were investigated.     

A Novel Purification Procedure for Active Recombinant Human DPP4 and the Inability of DPP4 to Bind SARS-CoV-2

Proteases catalyse irreversible posttranslational modifications that often alter a biological function of the substrate. The protease dipeptidyl peptidase 4 (DPP4) is a pharmacological target in type 2 diabetes therapy primarily because it inactivates glucagon-like protein-1. DPP4 also has roles in steatosis, insulin resistance, cancers and inflammatory and fibrotic diseases. In addition, DPP4 binds to the spike protein of the MERS virus, causing it to be the human cell surface receptor for that virus. DPP4 has been identified as a potential binding target of SARS-CoV-2 spike protein, so this question requires experimental investigation. Understanding protein structure and function requires reliable protocols for production and purification. We developed such strategies for baculovirus generated soluble recombinant human DPP4 (residues 29–766) produced in insect cells. Purification used differential ammonium sulphate precipitation, hydrophobic interaction chromatography, dye affinity chromatography in series with immobilised metal affinity chromatography, and ion-exchange chromatography. The binding affinities of DPP4 to the SARS-CoV-2 full-length spike protein and its receptor-binding domain (RBD) were measured using surface plasmon resonance and ELISA. This optimised DPP4 purification procedure yielded 1 to 1.8 mg of pure fully active soluble DPP4 protein per litre of insect cell culture with specific activity >30 U/mg, indicative of high purity. No specific binding between DPP4 and CoV-2 spike protein was detected by surface plasmon resonance or ELISA. In summary, a procedure for high purity high yield soluble human DPP4 was achieved and used to show that, unlike MERS, SARS-CoV-2 does not bind human DPP4.     

Majorization and multiplier sequences

We present applications of matrix methods to the analytic theory of polynomials. We first show how matrix analysis can be used to give new proofs of a number of classical results on roots of polynomials. Then we use matrix methods to establish a new log-majorization result on roots of polynomials. The theory of multiplier sequences gives the common link between the applications.