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Fig. 3. Objective determination of CTmax, using the residuals of the linear regressions vs. time of the absolute difference sums (ADS) of CO2 and of activity. Each ADS is a cumulative sum of the absolute differences between adjacent sample points in the respective data channel; the residuals of the linear regressions of each ADS vs. time clearly shows an inflection point for each ADS at which spiracular control (in the case of CO2) or motor control (in the case of activity) ceases. See Fig. 2 for reference. We operationally define the inflection point, as measured using our methodology, as the theta point and consider it to be congruent with behavioral measures of CTmax. See text for details.