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With regard to generic prior distributions, we show that there exists a modified direct mechanism associated with the virtual social choice function, which satisfies budget balancing and interim individual rationality, such that truth telling is the unique three times iteratively undominated message rule profile.
We then approximated each rule profile with piecewise polynomial functions using the spline function in the MATLAB software.
For example, the mRNA level of Mbp1 is almost constant during the cell cycle [ 33, 34], although its rule profile peaks at 20 minute.
For example, the rule profile of Swi4 reaches its peak at 40 minute, while expression of Swi4 peaks at about the same time.
Thus it is informative to plot the negative logarithm of the p-value of a rule as a function of time; such a plot is referred to as a rule profile.
As different experiments may have different sampling rates, we approximate each rule profile with a spline interpolation, and combine the profiles for the same rule from different time series to construct a single integrated profile.
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Additional File 4 contains integrated rule profiles with notable cell cycle dependencies, and Additional File 5 shows integrated rule profiles that do not show clear cell cycle dependencies.
As we expected, the rule profiles from different data sets can often be aligned together accurately).
Therefore, it should be possible to combine the rule profiles learned from them.
This ambiguity may be resolved by comparing rule profiles with expression patterns of TFs.
We then combine these rule profiles to build a transcriptional regulatory network for the yeast cell cycle.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com