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The analytical expressions of the average intensity at any receiver plane are derived based on the extended Huygens-Fresnel principle.
As a next step, the signal intensity was determined when the average intensity at the center frequency was large enough to compare with those of surrounding frequency and ambient noise.
The average intensity at this time-point was 1.48-fold higher than the non-induced control (Figure 3B).
To obtain the average number of fluctuating particles, we divide the average intensity at one pixel by the brightness.
The average intensity at the specimen plane ranged between 2 and 20 mW/cm, depending on the analyzed sample.
A 3D volume consisting of the average intensity at each voxel over the whole experiment was calculated and used as a template.
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The averaged intensity at a given wavelength was plotted vs denaturant concentration to yield denaturant titrations.
The time shift τ is varied, and the correlation curve is obtained by multiplying the deviation of the average intensity, δF, at the time point t with the deviation at time point t + τ and averaging over the whole trace.
The autocorrelation function G for fluctuations around a mean intensity I is described as follows, with the angle brackets representing an ensemble average: G = 1 + 〈 δ I (t ) ⋅ δ I (t + τ ) 〉 〈 I 2 〉 Here, the intensity fluctuation δ I t) around the average intensity I, at time t, is correlated with the fluctuation at a given time later, δ I(t+τ).
The PMPS was defined as pain located in the area of the surgery or ipsilateral arm, present at least 4 days per week and with an average intensity of at least 3 on a numeric rating scale from 0 to 10.
We then add a constant equal to the average intensity value at that pixel.
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