In the current study, the kinetics of asphaltene particle flocculation is investigated under a shear flow through numerical simulation. The discrete element method (DEM) is coupled with computational fluid dynamics (CFD) to model the agglomeration and fragmentation processes. In addition, a coalescence model is proposed to consider the attachment of colliding particles. The changes in mean asph...

Background: In food industry, carotenoids are used as food colorants conferring yellow to red color. This research was designed to study on lipid and β-carotene production by Rhodosporidium diobovatum cultured with different Carbon to Nitrogen (C/N) ratios. Methods: R. diobovatum was cultured in a medium containing 40 g/l glucose (as the carbon source) and different C/N ratios (20, 50, and 80)...

This paper proposes the fractal patterns classifier for multiple cardiac arrhythmias on field-programmable gate array (FPGA) device. Fractal dimension transformation (FDT) is employed to adjoin the fractal features of QRS-complex, including the supraventricular ectopic beat, bundle branch ectopic beat, and ventricular ectopic beat. FDT with fractal dimension (FD) is addressed for constructing v...

The Fourier transform and spectral analysis are employed to estimate the fractal dimension and explore the fractal parameter relations of urban growth and form using mathematical experiments and empirical analyses. Based on the models of urban density, two kinds of fractal dimensions of urban form can be evaluated with the scaling relations between the wave number and the spectral density. One ...

An optimization procedure was applied to investigate the anticandidal property of four different Iranian seaweed extract compositions. Response Surface Methodology (RSM) with the four levels- three–factor Box–Behnken design, including Gracilaria arquata concentration (X1), Nizimudidnia zanardini concentration (X2), Cystoceria indica concentration (X3) and Padina australis concentration (X4), wa...

Abstract In this paper, we discuss a connection between geometric measure theory and number theory. This method brings new point of view for some number-theoretic problems concerning digit expansions. Among other results, show that each integer k , there is $M>0$ such if $b_{1},\ldots ,b_{k}$ are multiplicatively independent integers greater than M infinitely many whose base $b_{1},b_{2},\ld...

Small-angle neutron scattering was used to examine the effects of molecular crowding on an intrinsically disordered protein, the N protein of bacteriophage λ, in the presence of high concentrations of a small globular protein, bovine pancreatic trypsin inhibitor (BPTI). The N protein was labeled with deuterium, and the D(2)O concentration of the solvent was adjusted to eliminate the scattering ...

In class, we have assumed that the concentration, the number of free monomers in the volume, does not change in time, C = n/V = const. Assume now, that no new monomer is added to the solution as the filament grows and therefore C = C(t). • Sketch the evolution of the free monomer concentration C as a function of time t. • Determine the tangent to the curve at t → 0. • Determine the asymptotic v...

The gelation of a model rennet casein system was studied during cooling at different rates. During cooling, casein network structure development was proposed to evolve over a few steps at different length scales: molecules, particles, flocs, or network. Rennet casein flocs are fractal in nature, and fractal dimension and floc size are two variables affecting the rheology and microstructure of a...