Fractal applications in biology: scaling time in biochemical networks.
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Biomedical subjects
Publications and source records attributed to F E Yates.
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We obtained multiple ambulatory blood pressure monitoring (ABPM) records over five years from two trained, normotensive subjects experienced in wearing the apparatus. The resulting time series data on systolic blood pressure (SBP), diastolic blood pressure (DBP), and heart rate (HR) were used to suggest optimal parameters for monitoring by two instruments (Colin Medical Instruments ABPM-630 and Del Mar Avionics Pressurometer) and to compare two indirect methods (auscultatory and oscillometric). A 10-min sampling interval day and night provided sufficient density of data to support spectral analysis for ultradian rhythms in the frequency range of one cycle per hour to one cycle per 9 h on a 24-h record. Rhythms with major periods of approximately 3, 6, and 9 h were variously found in 94 normotensive subjects, aged 20 to 95 years, including the two trained subjects. When the monitoring period was extended to 72 h, the circadian (approximately 24 h) rhythm could be more sharply defined, as well as a 12-h harmonic. In some studies the two trained subjects wore two monitors, one on each arm, set to read simultaneously. From the simultaneous measurements on both arms, it was shown that averaging across three points (30 min of record) reduced the coefficient of variation between the two simultaneous records to 6% or less. Auscultatory and oscillometric methods were equally reliable. Echocardiographic data were obtained in five normotensive subjects and compared to their ABPM data. The ABPM records provided additional information about cardiovascular function not merely duplicating that obtained by acute stress tests, such as exercise or cold pressor responses, or echocardiography. Standards for ABPM are suggested.
We examined adrenal blood flow, cortisol secretion rate, concentration of cortisol in adrenal venous blood, mean arterial blood pressure, and heart rate in unrestrained conscious dogs, sampling at 15-20 s, 5 min, or 10 min during experiments lasting from 30 min to 8 h. Time history analysis designed for short, noisy time series detected three significant ultradian oscillatory periods: approximately 3, 6, and 90 min. Circulatory variables (systemic mean arterial pressure, heart rate, and adrenal blood flow) showed all three. Cortisol secretion rate showed the 3- and 90-min oscillations but not the 6-min oscillation. Adrenal glucocorticoid secretion rate and adrenal blood flow were not strongly coupled. However, at one extreme of blood flow (close to zero) and at the opposite extreme (very high blood flow stimulated by adrenocorticotropic hormone) adrenal blood flow and cortisol secretion were tightly coupled. In the normal physiological range, the multiperiodic, rhythmic organization of circulatory variables and adrenal glucocorticoid function arises from independent or only weakly coupled oscillators, not necessarily harmonically related, manifesting near-periodicity with wobble and intermittency.
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Free fatty acid (FFA) concentrations were determined in arterial plasma samples obtained during short or prolonged fasts from resting, conscious adult male mongrel dogs. Arterial blood was continuously collected during experiments ranging from 2.25 to 15 h, from dogs fasted 1 or 5 days. Each continuous collection stream was divided at 45 equal intervals into separate sequential samples. In 18 experiments, no consistent pattern was found in plasma FFA concentrations: the concentrations were never constant, and fluctuations were only rarely periodic. Large, spontaneous, seemingly random level changes with amplitudes of 200-600 mueq/liter were observed in 14 experiments, that took from 1 to 8 h to complete. There was no apparent relation between these fluctuations and time of day or rectal temperature, and glucose concentrations remained unchanged during the FFA fluctuations. The inconstancy of plasma FFA levels and the irregularity of their fluctuations suggests that FFA production rates may be unregulated or only loosely regulated within a wide regulation band during the first few days of starvation. No current model of FFA metabolism preducts the observed patterns of FFA levels.
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