The solution validation is made through some demonstrated expected results.
Methods with decision rule outputs were trained and tested on the discretized data set to demonstrate expected performance of a clinically credible rule set.
In the current work, performance of a circular permutation test (see Methods) demonstrated that the number of positional coincidences detected by us exceeds what would be expected by chance (bootstrapped P-value < 0.05).
The IFE target shell generation method demonstrated, is automated and in relative terms, highly replicable.
This method demonstrated a complete penetration of one cell into another (Fig. 1f,h).
Numerical results show that the conservative nature of the methods allows a robust representation of discontinuities and sharp gradients; the results also demonstrate the expected convergence rates for the methods of orders three, four, and five for smooth problems.
Furthermore, numerical tests on simplified reacting flows demonstrate the expected convergence rates for MISDC methods of orders three, four, and five.
An example run is shown in supplemental material (Methods S1) wherein FCCP was added at the end demonstrating the expected transient increase in O2 consumption with chemical uncoupling.
More extensive study is needed for quantitative traits, having various characteristics, to further demonstrate the expected robustness of our modified m-spacing method.
Numerical calculations are presented and demonstrate that the method gives expected results.
