Biology Reference
In-Depth Information
A similar optimization procedure is performed next over the user-
provided range of periods. The optimal value for the period is again
identified as a value minimizing the sum of squared residuals
2 (see
Figure 12-15). The value of this period, together with the values of
optimal phase, average level of expression, and amplitude determined
on the previous step are then recorded as the best fit to the data.
w
FIGURE 12-15.
Period optimization over a user-defined range of 20 to 28 hours for the period. The minimum of the
sum of squared residuals w
2 is achieved at period t ¼ 22 hours (middle panel). The respective values
of average expression and amplitude are a¼0.3055 and b ¼ 1.31 (bottom panel).
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