A classic result of Erdős and, independently, of Bondy and Simonovits [3] says that the maximum number of edges in an n-vertex graph not containing C2k, the cycle of length 2k, is O(n1+1/k). Simonovits established a corresponding supersaturation result for C2k’s, showing that there exist positive constants C, c depending only on k such that every n-vertex graph G with e(G) ≥ Cn contains at leas...

Kinetic equations describing nucleation on active centers are solved numerically to determine the number of supercritical nuclei, nucleation rate, and the number density of nuclei for formation both of droplets from vapor and also crystalline phase from vapor, solution, and melt. Our approach follows standard nucleation model, when the exhaustion of active centers is taken into account via the ...

Crystallization of calcium sulfate dihydrate (CaSO4.2H2O) in sodium chloride solutions at different supersaturation (δ = 1.2–2), pH =3, ionic strength (I = 0.5 M) and at 80°C was studied. The influence of aluminum and magnesium nitrates having very low concentrations (10 mol dm) on the rate of crystallization at different supersaturation was investigated. The rate of crystallization was found t...

Although amyloid fibrils and amorphous aggregates are two types of aggregates formed by denatured proteins, their relationship currently remains unclear. We used β2-microglobulin (β2m), a protein responsible for dialysis-related amyloidosis, to clarify the mechanism by which proteins form either amyloid fibrils or amorphous aggregates. When ultrasonication was used to accelerate the spontaneous...

Controlling particle size is essential for crystal quality in the chemical and pharmaceutical industry. Several articles illustrate the potential of ultrasound to tune this particle size during the crystallization process. This paper investigates how ultrasound can control the particle size distribution (PSD) of acetaminophen crystals by continuous seed generation in a tubular crystallizer foll...

Foods that are high in citrate content generally are assumed to deliver alkali load when consumed irrespective of the accompanying cation. The object of this randomized, crossover study was to compare the effects of orange juice with those of lemonade on acid-base profile and urinary stone risks under controlled metabolic conditions. Thirteen volunteers (nine healthy subjects and four stone for...

Based on the soft sensor techniques, five external factors that affect the cane sugar crystallization process are used as auxiliary variables, i.e., the syrup Brix and temperature, vacuum, steam pressure and feed flow, while the sucrose supersaturation is considered as the key variable. Then a soft sensor method for the sucrose supersaturation is developed based on kernel partial least squares....

This work thoroughly analyzes a new commercial instrument for measuring Cloud Condensation Nuclei (CCN), the Droplet Measurement Technologies Cylindrical Continuous-Flow Streamwise Thermal Gradient CCN Chamber (CFSTGC). This instrument can measure CCN concentrations at supersaturations from 0.06% to 3% (potentially up to 6%), at a 1 Hz sampling rate that is sufficient for airborne operation. Ou...

INTRODUCTION Even though dehydration could aggravate formation of urinary calculi, the effects of fluid and food restriction on calculus formation is not thoroughly defined. The purpose of this study is to evaluate the effects of fluid and food restriction in Ramadan fasting on urinary factors in kidney and urinary calculus formation. MATERIALS AND METHODS Fifty-seven men aged 30 to 55 years ...