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In order to exclude any error stemming from the linear approximation, we tested the control abilities of the pathway designs and observed the chemotactic behaviors by our program based on the original differential equations (Fig. 5).
As a first approximation, we tested this possibility by using the Q-siteFinder program [ 31].
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As compressible methods may be selected as an approximation to incompressible behavior, we tested the convergence characteristics of the penalty and weakly penalized approaches to the incompressible LM solution (i.e. k = ∞ in Eq. (11)).
In this study, we tested the approximation between measured VO2 and VO2 reserve with VO2 and VO2 reserve predicted by linear regression equations in study groups.
We tested the statistical significance of the effects of sibling group, sex and their interaction with likelihood ratio tests using the χ2 approximation for models 4 and 2, 3 and 2 and 2 and 1, respectively.
Starting from the default number of four rate classes for the discrete gamma approximation (GTR+G4), we have tested increasing numbers of rate classes.
To test this approximation we compared the mean-field predictions obtained by solving the Master equation to those obtained by the numerical integration of the deterministic version of the model for the duration of interest (i.e., up to 2009).
Under these approximations, the goodness of fit of the Erlang approximation and the Normal approximation were tested using Monte Carlo integration [27].
The present method, the volumetric tensor approximation, is tested for velocity and passive scalar gradients in incompressible planar jet and mixing layer.
The approximation was tested in two extreme cases: fast switching and slow switching genes.
Nevertheless, we have tested this approximation by simulating a modification of the original differential equation model [ 5] where changes in the dynamical parameters were allowed to change at the time of dose reduction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com