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Xpert MTB/RIF's calculated analytical limit of detection has been reported as 131 cfu/ml (95% CI 106.2 176.4).
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In view of the difficulties to calculate analytical solutions of the model under study, we propose here a computational method to approximate them.
We calculate analytical derivatives with respect to density distribution and the finite difference approximations of derivatives with respect to orientation parameters.
We use two methods, harmonic balance and iteration, to calculate analytical approximations to the periodic solutions of a nonlinear singular oscillator.
The amount of collected oral fluid was determined by weighing, and the dilution with buffer was taken into account when calculating analytical results expressed in g per kg or ng per ml of undiluted (native) oral fluid.
Compared to the motif-based HMM (H mm0) introduced by Sinha et al. (2008), which calculates empirical P-values for each sequence, our GC-compensated version of A ma, which calculates analytical P-values, is almost an order of magnitude faster.
The fraction parameters are calculated through calculations of the QSS steady-state concentrations of the lumped parameters, which are calculated analytically through the analytical inversion of the matrix.
The design sensitivities with respect to the process parameter are calculated with direct analytical differentiation of the governing equation.
Figure 7 Comparison between calculated through analytical model and simulations.
The optimum then is calculated by analytical tools.
Mean droplet size is calculated using analytical methods.
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