Fractal nature of regional ventilation distribution.

High-resolution measurements of pulmonary perfusion reveal substantial spatial heterogeneity that is fractally distributed. This observation led to the hypothesis that the vascular tree is the principal determinant of regional blood flow. Recent studies using aerosol deposition show similar ventilation heterogeneity that is closely correlated with perfusion. We hypothesize that ventilation has fractal characteristics similar to blood flow. We measured regional ventilation and perfusion with aerosolized and injected fluorescent microspheres in six anesthetized, mechanically ventilated pigs in both prone and supine postures. Adjacent regions were clustered into progressively larger groups. Coefficients of variation were calculated for each cluster size to determine fractal dimensions. At the smallest size lung piece, local ventilation and perfusion are highly correlated, with no significant difference between ventilation and perfusion heterogeneity. On average, the fractal dimension of ventilation is 1.16 in the prone posture and 1. 09 in the supine posture. Ventilation has fractal properties similar to perfusion. Efficient gas exchange is preserved, despite ventilation and perfusion heterogeneity, through close correlation. One potential explanation is the similar geometry of bronchial and vascular structures.

[1]  C. Sparrow The Fractal Geometry of Nature , 1984 .

[2]  R. Glenny,et al.  Pulmonary embolization causes hypoxemia by redistributing regional blood flow without changing ventilation. , 1998, Journal of applied physiology.

[3]  R. Glenny,et al.  Applications of fractal analysis to physiology. , 1991, Journal of applied physiology.

[4]  R. Glenny,et al.  Pulmonary blood flow distribution in standing horses is not dominated by gravity. , 1996, Journal of applied physiology.

[5]  R W Glenny,et al.  The 400 microsphere per piece "rule" does not apply to all blood flow studies. , 2000, American journal of physiology. Heart and circulatory physiology.

[6]  W. Hauck,et al.  Quantitating error in blood flow measurements with radioactive microspheres. , 1989, The American journal of physiology.

[7]  R W Glenny,et al.  High-resolution maps of regional ventilation utilizing inhaled fluorescent microspheres. , 1997, Journal of applied physiology.

[8]  C T DOLLERY,et al.  DISTRIBUTION OF BLOOD FLOW IN ISOLATED LUNG; RELATION TO VASCULAR AND ALVEOLAR PRESSURES. , 1964, Journal of applied physiology.

[9]  M. Dolovich,et al.  Regional distribution of inspired gas in the lung. , 1966, Journal of applied physiology.

[10]  T A Wilson,et al.  Variability of parenchymal expansion measured by computed tomography. , 1989, Journal of applied physiology.

[11]  James H. Brown,et al.  A General Model for the Origin of Allometric Scaling Laws in Biology , 1997, Science.

[12]  N. Staub,et al.  No gravity-independent gradient of blood flow distribution in dog lung. , 1987, Journal of applied physiology.

[13]  R. Glenny Spatial correlation of regional pulmonary perfusion. , 1992, Journal of applied physiology.

[14]  J. Stamler,et al.  Nitric oxide regulates basal systemic and pulmonary vascular resistance in healthy humans. , 1994, Circulation.

[15]  E. Weibel Fractal geometry: a design principle for living organisms. , 1991, The American journal of physiology.

[16]  L. A. Engel Gas mixing within the acinus of the lung. , 1983, Journal of applied physiology: respiratory, environmental and exercise physiology.

[17]  J. Kramer-Johansen,et al.  Distribution of pulmonary ventilation and perfusion measured simultaneously in awake goats. , 1997, Acta physiologica Scandinavica.

[18]  R. Benattar,et al.  Time‐resolved evolution of laser‐produced plasmas in spherical expansion regime , 1983 .

[19]  C. Dollery,et al.  Role of endothelium in the maintenance of low pulmonary vascular tone in normal children. , 1994, Circulation.

[20]  K. Messmer,et al.  Methodological error and spatial variability of organ blood flow measurements using radiolabeled microspheres , 1991, Research in experimental medicine. Zeitschrift fur die gesamte experimentelle Medizin einschliesslich experimenteller Chirurgie.

[21]  A. R. Elliott,et al.  Inhomogeneity of pulmonary perfusion during sustained microgravity on SLS-1. , 1994, Journal of applied physiology.

[22]  K. Beck,et al.  Differences in regional vascular conductances in isolated dog lungs. , 1986, Journal of applied physiology.

[23]  A. R. Elliott,et al.  Ventilatory inhomogeneity determined from multiple-breath washouts during sustained microgravity on Spacelab SLS-1. , 1995, Journal of applied physiology.

[24]  James H. Brown,et al.  The fourth dimension of life: fractal geometry and allometric scaling of organisms. , 1999, Science.

[25]  K. Beck,et al.  Contributions of ventilation and perfusion inhomogeneities to the VA/Q distribution. , 1992, Journal of applied physiology.

[26]  J I Hoffman,et al.  Some sources of error in measuring regional blood flow with radioactive microspheres. , 1971, Journal of applied physiology.

[27]  A. R. Elliott,et al.  Inhomogeneity of pulmonary ventilation during sustained microgravity as determined by single-breath washouts. , 1994, Journal of applied physiology.

[28]  E H Wood,et al.  Effect of body position on vertical distribution of pulmonary blood flow. , 1970, Journal of applied physiology.

[29]  R. Glenny,et al.  Gravity is a minor determinant of pulmonary blood flow distribution. , 1991, Journal of applied physiology.

[30]  Z. Hantos,et al.  Partitioning of pulmonary impedance: modeling vs. alveolar capsule approach. , 1993, Journal of applied physiology.

[31]  R W Glenny,et al.  Gravity is an important but secondary determinant of regional pulmonary blood flow in upright primates. , 1999, Journal of applied physiology.

[32]  P. Wagner,et al.  Identification of functional lung unit in the dog by graded vascular embolization. , 1980, Journal of applied physiology: respiratory, environmental and exercise physiology.

[33]  B Suki,et al.  How inhomogeneities and airway walls affect frequency dependence and separation of airway and tissue properties. , 1996, Journal of applied physiology.

[34]  P. Ganz,et al.  Role of nitric oxide in the local regulation of pulmonary vascular resistance in humans. , 1996, Circulation.

[35]  R. Ingram,et al.  Partitioning of pulmonary resistance during constriction in the dog: effects of volume history. , 1987, Journal of applied physiology.

[36]  R. Glenny,et al.  Fractal properties of pulmonary blood flow: characterization of spatial heterogeneity. , 1990, Journal of applied physiology.

[37]  J. West,et al.  Regional differences in gas exchange in the lung of erect man. , 1962, Journal of applied physiology.

[38]  D. Uncles,et al.  Nitric Oxide Modulation of Pulmonary Vascular Resistance Is Red Blood Cell Dependent in Isolated Rat Lungs , 1996, Anesthesia and analgesia.