The current study investigates the solvability conditions and general solution of three symmetrical systems coupled Sylvester-like quaternion matrix equations. Accordingly, necessary sufficient for consistency these are determined, solutions thereby deduced. An algorithm a numerical example constructed over quaternions to validate results this paper.

Two major stumbling blocks exist in high-throughput sequencing (HTS) data analysis. The first is the sheer file size, typically in gigabytes when uncompressed, causing problems in storage, transmission, and analysis. However, these files do not need to be so large, and can be reduced without loss of information. Each HTS file, either in compressed .SRA or plain text .fastq format, contains nume...

Background: Polycystic ovary syndrome (PCOS) is a common complex genetic endocrinopathy, affecting 5 - 10% of women at reproductive age. PCO granulosa cells seem to have abnormal responses to follicle- stimulating hormone (FSH). FSH is considered to be a pituitary glycoprotein that plays an important role during folliculogenesis as it promotes the proliferation and differentiation of granulosa ...

gene association studies are less appealing in cancer compared to autoimmune diseases. complexity, heterogeneity, variation in histological types, age at onset, short survival, and acute versus chronic conditions are cancer related factors which are different from an organ specific autoimmune disease, such as grave’s disease, on which a large body of multicentre data is accumulated. for years t...

we consider the semilinear elliptic boundary value problem  = ∈∂ω− δ = ∈ωu x xu x f u x x( ) 0;( ) λ ( ( ));where λ > 0 is a parameter, ω is a bounded region in rn with a smooth boundary, and f is asmooth function. we prove, under some additional conditions, the existence of a positive solution for λlarge. we prove that our solution u for λ large is such that = →∞∈ω|| u ||: sup| u(x) |xas λ ...

in this paper, one of the numerical solution method of one- particle, one dimensional timeindependentschrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function v(x).for each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. the paper ended with a comparison ...

BACKGROUND Epithelial-to-Mesenchymal Transition (EMT) induced by glucose in human peritoneal mesothelial cells (HPMCs) is a major cause of peritoneal membrane (PM) fibrosis and dysfunction. METHODS To investigate serum response factor (SRF) impacts on EMT-derived fibrosis in PM, we isolated HPMCs from the effluents of patients with end-stage renal disease (ESRD) to analyze alterations during ...

A magnetic/luminescent nanoparticles (MLNPs) based DNA hybridization method was developed for quantitative monitoring of antibiotic resistance genes and gene-expression in environmental samples. Manipulation of magnetic field enabled the separation of the MLNPs-DNA hybrids from the solution and the fluorescence of MLNPs normalized the quantity of target DNA. In our newly developed MLNPs-DNA ass...

Effect of Natural Sources on the Corrosion Inhibition M. Bugdayci costs more than a trillion dollars worldwide and with great efforts being made to solve this problem. The toxic effect components used in solution problem causes new problems increasing environmental concerns high costs. Accordingly, green inhibitors have become […]

We show that Nesterov acceleration is an optimal-order iterative regularization method for linear ill-posed problems provided a parameter chosen accordingly to the smoothness of solution. This result proven both priori stopping rule and discrepancy principle. The essential tool obtain this representation residual polynomials via Gegenbauer polynomials.