BACKGROUND There is a clear need to develop an objective diagnostic test for Alzheimer disease (AD). Changes in the levels of cerebrospinal fluid (CSF) tau protein and beta-amyloid 42 (Abeta42) peptide in patients with AD have been well documented, but the relationship between these biomarkers and neuropathologic changes in the brain is not established. OBJECTIVE To study the relationship bet...

This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using coll...

Background Alzheimer’s Disease, the leading cause of dementia, is over-represented in females. The apolipoprotein E (APOE) ε4 allele strongest genetic risk factor for late-onset AD and associated with aberrant cerebrospinal fluid levels (CSF) total tau (t-tau), phosphorylated (p-tau), amyloid-β (Aβ). There some evidence that sex may mediate relationship between APOE status CSF tau, however, mix...

Parallel computing code can be applied to solve chemically reacting systems. In a well stirred chemical system, the number of molecules for each species can be solved by implicit tau method, and the histogram of the method is used to compare with the exact simulation called SSA. In this report, the parallel code will be implemented in both SSA and implicit tau, with the discussion that how rand...

Abstract Background Manual ELISA assays are the most commonly used methods for quantification of CSF AD biomarkers; however, they show inter‐ and intra‐laboratory variability. We compared Innotest method with two fully automated platforms (Lumipulse Elecsys) to determine whether these new can provide effective substitutes assays. Method included 149 males females (n = 34), MCI 94) non‐AD dement...

‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also ...