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The appropriate equation (6.12) is just the linearized equation of (1.3) associated with.
The selection of the appropriate equation to fit to the data was made using the Akaike Information Criterion (AIC) [7].
Otherwise, if one of the five (Table 4) families and diameter is dbh then use the appropriate equation from Tables 2 or 3.
Having developed the theoretical model, the corresponding theoretical equations can be validated by generating data from the appropriate equation and matching these data to experimental results.
We store a global array that tracks which region each of the cells is in and use this to select the appropriate equation to integrate, based on those presented in (13).
The five slices acquired in every case were computed with a homemade software (My Map Analyzer) written in MatLab v. 7.01 (MathWorks, Nattick, MA, USA) in which colour-based maps were generated by fitting the signal intensities to the appropriate equation in a pixel-by-pixel base.
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A numerical time-stepping method determines which of three domains controls mass motion at a given time and applies the appropriate equations.
Based on the fractal geometrical description of the pore morphology, the appropriate equations for multicomponent diffusion and arbitrary reaction in a fractal pore are derived.
The software then interprets this information into a reaction sequence, writes the appropriate equations, optimizes the model parameters while keeping them in physically and chemically allowed bounds, and does statistical analysis of the results.
The appropriate equations are still the linearized Navier Stokes equations, except that the linearization must be performed about the instantaneous evolving turbulent state, which forms the coefficients of the linearized equations.
Pixel time-evolution signal intensities were fitted to the appropriate equations for computing the corresponding parametric images of cerebral blood volume (CBV), cerebral blood flow (CBF) and mean transit time (MTT) as we previously reported [32].
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