In this paper, the two-dimensional triangular orthogonal functions (2D-TFs) are applied for solving a class of nonlinear two-dimensional Volterra integral equations. 2D-TFs method transforms these integral equations into a system of linear algebraic equations. The high accuracy of this method is verified through a numerical example and comparison of the results with the other numerical methods.

PURPOSE COPD is characterized by an accelerated and progressive decline in forced expiratory volume in 1 second (FEV1) and lung hyperinflation. Although lung hyperinflation is the hallmark of COPD, data on the longitudinal changes in lung hyperinflation and any association with the decline in FEV1 are lacking. The aim of this study was to evaluate the longitudinal changes in lung hyperinflation...

Background Lung hyperinflation and exercise intolerance are hallmarks of chronic obstructive pulmonary disease (COPD). However, their relationship remains uncertain. A combined analysis of two placebo-controlled, randomized studies examined the effects of the long-acting muscarinic antagonist umeclidinium (UMEC) and long-acting β2-agonist vilanterol (VI) separately and in combination on static ...

In this paper, a numerical efficient method based on two-dimensional block-pulse functions (BPFs) is proposed to approximate a solution of the two-dimensional linear stochastic Volterra-Fredholm integral equation. Finally the accuracy of this method will be shown by an example.

Thoracic gas volume (Vtg) can be measured with body plethysmography by either repetitive panting or one single inspiratory effort against a shutter occluding the airways. The panting technique is preferred, but may be demanding. We aimed to assess the precision of these two methods and the degree of agreement between them. Vtg and functional residual capacity (FRC) were measured in 155 subjects...

s and the ICI Web of Science from November 1, 1999 to November 1, 2001. The literature search was augmented by consulting Analytical Abstracts, and the following journals publishing papers on TLC were searched directly: Journal of Chromatography (parts A and B and the bibliography issues), Journal of Chromatographic Science, Chromatographia, Analytical Chemistry, Journal of Liquid Chromatograph...

Lipopolysaccharides extracted from the heptoseless mutant of Salmonella typhimurium G30/C21 were hydrolyzed with either 0.1 N HCl at 100 degrees C or treated twice with 20 mM sodium acetate, pH 4.5, at 100 degrees C for 45 min and finally purified by preparative thin layer chromatography to yield a structural series of mono- and diphosphoryl lipid A, respectively. Positive ion fast atom bombard...