PubMed · 1126913
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M K Tham. 1975. Letter: Maximum expiratory flow-volume curves.. https://doi.org/10.1152/jappl.1975.38.5.950
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Cyclic rebreathing of a soluble inert gas can be used to estimate lung tissue volume (Vt) and pulmonary blood flow (Qc). A recently proposed method for analyzing such cyclic data (Respir. Physiol. 48: 255-279, 1982) mathematically assumes that ventilation is a continuous process. However, neglecting the cyclic nature of ventilation may prevent the accurate estimation of Vt and Qc. We evaluated this possibility by simulating the uptake of soluble inert gases during rebreathing using a cyclic model of gas exchange. Under cyclic uptake conditions alveolar gases follow an oscillating time course, because gas concentrations tend to increase during inspiration and to decrease during expiration. We found that neglecting these alveolar gas oscillations leads to the underestimation of soluble gas uptake by blood, particularly during the early rebreathing breaths. When continuous ventilation is assumed Vt and Qc are overestimated unless rapid rebreathing rates, large tidal volumes, and gases of moderately low solubility are used. Under these conditions the amplitude of the cyclic oscillations is minimized, the alveolar time course more closely resembles that expected from continuous ventilation, and the resulting errors are minimized. Alternatively, when the effect of oscillating alveolar gas concentrations on mass transfer are considered, these estimation errors can be eliminated without restricting rebreathing rate or gas solubility. We conclude that failure to consider the effect of cyclic rebreathing on the time course of alveolar gas concentrations may result in significant errors when evaluating rebreathing data for Vt and Qc.
Several approaches have been suggested for estimating a respiratory response slope when both x and y variables are observed with error. Recently, a maximum likelihood estimate under the assumption of a bivariate normal distribution has been proposed. A method of moments solution yields a slope estimate of y/x as long as the underlying process mean is nonzero. This paper extends the maximum likelihood approach to the case where the process mean is zero. In this case, certain additional error assumptions must be made to yield a unique estimate. These concepts are applied to the problem of estimating an effective lung volume for steady-state breath-to-breath gas exchange data during exercise.
We recently described a model for the relation between respiratory neural and mechanical outputs (J. Appl. Physiol.: Respirat. Environ. Exercise Physiol. 51: 963-1001, 1981). In this communication we utilize the model to address the following questions. 1) How sensitive is tidal volume (VT) to shape and timing of respiratory neural output (N)? 2) How effective are shape and timing characteristics of N in load compensation? 3) For a given VT, what is the most economical shape and timing of N? Using different values of passive respiratory mechanics, we generated the VT profiles associated with theoretical N waveforms having different shape and timing parameters. We found that 1) with normal mechanics VT is moderately sensitive to inspiratory time (TI) but not to shape of N, whereas with high resistance and short TI, VT is very sensitive to shape and timing; 2) changes in shape, within the physiological range, can serve as potent load-compensatory mechanisms; and 3) for a given VT, the most economical (lowest mean pressure) N pattern is one with a very short TI and a rising phase that is convex to time axis. This holds true even with high resistance.