Our approach is derived by constructing the interpolating polynomial of degree N based on a spectral collocation method and applying the differentiation matrix to approximate the differential operator arising in SDDEs.
Based on a spectral collocation method, the scheme is constructed by applying the differentiation matrix (D_{N}) to approximate the differential operator (frac{d}{dt}).
Moreover, we applied the differentiation predictor to the mouse data set of Herschkowitz et al. [ 5] and observed that the previously identified claudin-low murine samples scored the lowest, while the MMTV-Neu and MMTV-PyMT models, which are known luminal mammary adenocarcinoma models, scored the highest.
And he said he hoped the umbrella group of developed countries - with members including the US, Canada, New Zealand and Australia - would "show flexibility" on the developing world's demand that the new agreement continue to apply the concept of "differentiation" between rich and poor nations.
With that in mind, we apply the so-called differentiation concept on convex sets and introduce the notion of a quasi-adjoint state ψ ε to an optimal solution y 0 ∈ W 0 1, p that was proposed for linear problems by Serovajskiy [25].
Note that the exposed population at the equilibrium defined by (1.3) can be equivalently described by a differential equation obtained by applying the Leibniz differentiation rule under the integral symbol to yield (2.10).
In this retrospective study we compare microarray transcriptomic data derived from two different hESCs lines (HUES1 and H9) exposed to valproic acid (VA) while applying the same differentiation protocol.
end{aligned} (3.7) Applying the Lebesgue differentiation theorem, we have begin{aligned} lim_{rrightarrow0} Theta(mathbf{x})=u(mathbf{x}).
The down-regulation of mRNA levels for PDGFRα and Olig1/2 and Sox10 genes, coupled to up-regulation of myelin-specific genes in hNSC cultures that we observed applying the default differentiation protocol argued against the idea of reduced oligodendroglial potential of human versus murine NSCs.
