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Fractals in Clinical Hemodynamics

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Abstract

I N this issue of ANESTHESIOL- OGY, Bishop et al. report on a novel approach to the interpretation of hemodynamic analysis, namely fractal and multifractal. 1lthough the readers of this journal are intimately familiar with the cardiovascular system and its gyrations in response to stress, surgery, and anesthetics, the application of fractals and specifically of multifractals to data synthesis and interpretation initially might seem beyond the reach of, or relevance to, practitioners.My purpose in writing this commentary is to offer context and perspective to what the authors have done and what it might mean to today's clinician, and to tomorrow's.First, let us observe that those of us who care for sick patients in highly technical environments are data-rich and information-poor.We who care for sick patientswhether in the operating room on in the intensive care unit-cannot possibly accumulate, absorb, and synthesize the streaming waveforms or their 6-s scalar snapshots (the glowing digits that announce a heart rate to be 82 beats/min, a blood pressure to be 116/54 mmHg, and so on) that dance across the monitor.Interpretive strategies abound, the simplest of which is to create a time series of values and then attempt to give some statistics on the time series.Technological considerations aside, modern hardware and software make it easy to determine the time intervals between heartbeats (or its reciprocal, the instantaneous heart rate), the series of systolic and diastolic blood pressures, and so forth.Anesthesiologists are rightly most concerned about gross trends: the heart rate going up and the blood pressures going down signals a problem with intravascular volume, the blood pressure going up and the heart rate going down suggests an intracranial catastrophe, and so forth.But what if there is no apparent trend?What if the values are seemingly scattered around some value we call "normal"?Isn't this just "regular rate and rhythm"?It is not.Normal hemodynamics (and several other aspects of physiology) are inherently-if subtly-variable. 2 Moreover,

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