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.

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.

IbeR is a regulator present in meningitic Escherichia coli strain E44 that carries a loss-of-function mutation in the stationary-phase (SP) regulatory gene rpoS. In order to determine whether IbeR is an SP regulator in E44, two-dimensional gel electrophoresis and LC-MS were used to compare the proteomes of a noninvasive ibeR deletion mutant BR2 and its parent strain E44 in the SP. Four up-regul...

The perception of microbial signal molecules is part of the strategy evolved by plants to survive attacks by potential pathogens. To gain a more complete understanding of the early signaling events involved in these responses, we used radioactive orthophosphate to pulse-label suspension-cultured cells of Arabidopsis in conjunction with two-dimensional gel electrophoresis and mass spectrometry t...

Protein S is a natural anticoagulant present in the plasma that serves as a cofactor for activated protein C. Patients deficient in protein S are subject to recurrent venous thrombotic disease. Protein S deficiency differs from other plasma protein deficiencies in that deficient patients often have normal or only mildly reduced levels of protein S in their plasma as detected by conventional imm...

In continuous lines of cultured Drosophila cells two forms of cytoplasmic actin, designated II and III, are detected after a 25- to 120-min pulse label with [35S]methionine. However, only one of these, actin II, accumulates in the cell. With the use of a pulse-chase protocol and two-dimensional gel electrophoresis, it has been found that actin III is synthesized as a precursor of the more stabl...

The phenomenological model of Khossravi and Connors (1992) has been adopted to calculate the electrophoretic mobility of drugs at different concentrations of solvents in a binary mixture. The accuracy and predictability of the model have been evaluated employing 14 experimental data sets by using average percentage mean deviation (APMD). The obtained APMD for correlative and predictive studies ...

We write the Euler characteristic χ(G) of a four dimensional finite simple geometric graph G = (V,E) in terms of the Euler characteristic χ(G(ω)) of two-dimensional geometric subgraphs G(ω). The Euler curvature K(x) of a four dimensional graph satisfying the Gauss-Bonnet relation ∑ x∈V K(x) = χ(G) can so be rewritten as an average 1 − E[K(x, f)]/2 over a collection two dimensional “sectional gr...

The mitochondrial polypeptides from maize lines susceptible and resistant to Helminthosporium maydis were studied by single- and two-dimensional gel electrophoresis. Approximately 120 polypeptides were detected by two-dimensional gel electrophoresis. However, it was not possible to detect qualitative differences between the mitochondrial polypeptides of the two inbreds. These observations are d...