Biology Reference
In-Depth Information
FIGURE 12-14.
Phase optimization for a presumed 22-hour circadian period. Three of the 101 cosine waves with a
different phase ranging from
11 to 11 hours are depicted in the top panel, together with the 13
data points measured over 48 hours at equal 4-hour intervals. The optimal phase is identified as that
minimizing the sum of squared residuals w
2
values for the
101 phase values tested. The optimal phase for this period is then obtained as one of the values
minimizing w
2
. The middle panel presents a plot of the w
2
. In this case, we obtain Phase ΒΌ 1.1 hours. The corresponding b values are shown in
the bottom panel. For this example, the optimal phase is 1.1 hours, and the corresponding amplitude
b is 1.31.
