In this study, the effect of fractional derivatives, whose application area is increasing day by day, on curve pairs investigated. As it known, there are not many studies a geometric interpretation calculus. When examining analysis curve, Conformable derivative that fits algebraic structure differential geometry used. This examined with help examples consistent theory and visualized for differe...

BACKGROUND The aim of this study was to investigate the impact of varying hemodynamic conditions on fractional flow reserve (ratio of pressure distal [Pd] and proximal [Pa] to stenosis under hyperemia) in an in vitro setting. Failure to achieve maximal hyperemia and the choice of hyperemic agents may have differential effects on coronary hemodynamics and, consequently, on the determination of f...

INTRODUCTION Asthma is a chronic respiratory disease characterized by hyper-responsiveness and bronchial inflammation. The bronchial inflammation in these patients can be monitored by measuring the fractional exhaled nitric oxide. This study aims to determine fractional exhaled nitric oxide association with peak expiratory flow and with asthma control inferred by the Global Initiative for Asthm...

BACKGROUND Wall shear stress (WSS) is an established predictor of coronary atherosclerosis progression. Prior studies have reported that high WSS has been associated with high-risk atherosclerotic plaque characteristics (APCs). WSS and APCs are quantifiable by coronary computed tomography angiography, but the relationship of coronary lesion ischemia-evaluated by fractional flow reserve-to WSS a...

In this article, the electro-osmotic flow of Oldroyd-B fluid in a circular micro-channel with slip boundary condition is considered. The corresponding fractional system is represented by using a newly defined time-fractional Caputo-Fabrizio derivative without singular kernel. Closed form solutions for the velocity field are acquired by means of Laplace and finite Hankel transforms. Additionally...

a procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. the method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. the main advantage of this systematic procedure with respect to other reported procedures is using non-equilibrium s...

BACKGROUND Accurate functional diagnosis of coronary stenosis is vital for decision making in coronary revascularization. With recent advances in computational fluid dynamics (CFD), fractional flow reserve (FFR) can be derived non-invasively from coronary computed tomography angiography images (FFRCT) for functional measurement of stenosis. However, the accuracy of FFRCT is limited due to the a...

percutaneous coronary angioplasty (ptca) of a coronary stenosis without documented ischemia at noninvasive stress testing is often performed, but its benefit is unproven. coronary pressure– derived fractional flow reserve (ffr) is an invasive index of stenosis severity defined as the ratio of maximal blood pressure in a stenotic vessel to the normal maximal pressure in the same vessel. ffr is a...

models the water flooding of an oil reservoir [6]. Water flooding involves the injection of water, which is immiscible with oil, into certain wells of the reservoir to force oil out at others. In this case, s = s(x, t) is the saturation of water (i.e., the volume fraction of water in the total fluid, 0 < s d 1 ), and g= g(s) is the particle velocity of the water. Consequently, since the total v...