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More specifically, if the diffusivity ε is sufficiently small with ε<∥a∥h and the reaction coefficient σ is large enough such that ∥a∥<σh, then the method exhibits optimal convergence rates in both L2 and H1 norms.
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A simplified matched interface and boundary method exhibiting optimal convergence is first developed for this equation by using a gramicidin A channel model that illustrates challenging issues associated with the geometric singularities of molecular surfaces of channel proteins in realistic 3D simulations.
A thorough numerical study is carried out which shows that a strict error control is achieved and that the method exhibits an optimal computational complexity which does not depend on the value of the tolerance or on the type of Hamiltonian.
In the optimal conditions, the method exhibits good linearity in the range 0.03 0.20 mg L−1 with a limit of detection and quantification of 8.2 and 27.3 μg L−1 respectively.
The proposed method exhibits its efficiency in quickly finding an optimal trajectory, which is due to not only the nature of genetic algorithms but also a small number of design variables employed.
The enzyme exhibits optimal activity at pH 5.4 and is stable from 40 to 50°C.
However, the combined method exhibits a lower mean bias.
The PCA method exhibits similar trends.
In summary, four alternative methods to supplement or replace the standard flow cytometry determination of CD34+ cells were investigated; however, only the HPC method exhibited a practical benefit for optimal apheresis timing.
We develop high-order methods for the SWE that exhibit optimal orders of convergence for all the primary variables via two distinct paths: the first involves the use of a convolution kernel made up of B-splines to filter out errors in the DG discretization of the surface elevation and the corresponding pressure flux.
These results implied that the proposed method exhibited satisfactory reproducibility.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com