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Schramm W. The (human) respiratory rate at rest. J Math Biol 2022; 85:60. [PMID: 36282355 PMCID: PMC9596596 DOI: 10.1007/s00285-022-01790-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2021] [Revised: 08/03/2022] [Accepted: 08/12/2022] [Indexed: 11/29/2022]
Abstract
All schoolchildren know how often they breathe, but even experts don’t know exactly why. The aim of this publication is to develop a model of the resting spontaneous breathing rate using physiological, physical and mathematical methods with the aid of the principle that evolution pushes physiology in a direction that is as economical as possible. The respiratory rate then follows from an equation with the parameters \documentclass[12pt]{minimal}
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\begin{document}$$\hbox {CO}_{2}$$\end{document}CO2-production rate of the organism, resistance, static compliance and dead space of the lungs, the inspiration duration: expiration duration - ratio and the end-expiratory \documentclass[12pt]{minimal}
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\begin{document}$$\hbox {CO}_{2}$$\end{document}CO2 fraction. The derivation requires exclusively secondary school mathematics. Using the example of an adult human or a newborn child, data from the literature then result in normal values for their breathing rate at rest. The reason for the higher respiratory rate of a newborn human compared to an adult is the relatively high \documentclass[12pt]{minimal}
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\begin{document}$$\hbox {CO}_{2}$$\end{document}CO2-production rate together with the comparatively low compliance of the lungs. A side result is the fact that the common alveolar pressure throughout the lungs and the common time constant is a consequence of the economical principle as well. Since the above parameters are not human-specific, there is no reason to assume that the above equation could not also be applicable to many animals breathing through lungs within a thorax, especially mammals. Not only physiology and biology, but also medicine, could benefit: Applicability is being discussed in pulmonary function diagnostics, including pathophysiology. However, the present publication only claims to be a theoretical concept of the spontaneous quiet breathing rate. In the absence of comparable animal data, this publication is intended to encourage further scientific tests.
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Regal JF, Regal RR, Meehan JL, Mohrman ME. Primary prevention of asthma: age and sex influence sensitivity to allergen-induced airway inflammation and contribute to asthma heterogeneity in Guinea pigs. Int Arch Allergy Immunol 2006; 141:241-56. [PMID: 16931886 PMCID: PMC2978645 DOI: 10.1159/000095294] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/07/2005] [Accepted: 04/20/2006] [Indexed: 11/19/2022] Open
Abstract
BACKGROUND Limiting allergen exposure in the sensitization phase has been proposed as a means of primary prevention of asthma, but its effectiveness is debated. HYPOTHESIS Primary prevention of asthma is more effective in limiting asthma symptoms in young guinea pigs compared with adults, whether males or females. METHODS The following experimental groups were used: young/young, sensitized and challenged before sexual maturity; young/adult, sensitized young and challenged after sexual maturity; adult/adult, sensitized and challenged after sexual maturity. Males and females were sensitized intraperitoneally with varying doses of ovalbumin (OVA) and challenged intratracheally with a constant OVA dose. Cellular infiltration into lung and lavage fluid as well as airway hyperresponsiveness to intravenous methacholine was determined 24 h later. RESULTS In unsensitized animals, density of resident inflammatory cells as well as baseline pulmonary function differed with age and sex. Maximum OVA-induced eosinophilia in females occurred at a lower sensitizing dose of OVA than in males, and the slopes of the dose-response relationship differed significantly between sexes. Young females had more pronounced increases in eosinophils compared with some adult treatment groups. The concentrations of OVA-specific antibodies were not directly related to differences in cellular infiltration. Airway hyperresponsiveness to methacholine challenge was observed in all treatment groups. CONCLUSION Young animals require major reductions in allergen exposure compared with adults to effectively limit airway inflammation in primary prevention. Heterogeneity of asthma symptoms seen with age and sex suggests that primary prevention by limiting allergen exposure or treatment with anti-inflammatory or bronchodilator drugs may be more effective strategies for specific age and gender populations.
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Affiliation(s)
- Jean F Regal
- Department of Biochemistry and Molecular Biology, Medical School Duluth, University of Minnesota, Duluth, 55812, USA.
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Schlesinger RB, Cohen MD, Gordon T, Nadziejko C, Zelikoff JT, Sisco M, Regal JF, Ménache MG. Ozone differentially modulates airway responsiveness in atopic versus nonatopic guinea pigs. Inhal Toxicol 2002; 14:431-57. [PMID: 12028802 PMCID: PMC2978653 DOI: 10.1080/089583701753678562] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
Abstract
While acute exposures to ozone (O(3)) can alter airway responsiveness, effects from long-term exposures at low concentrations are less clear. This study assessed whether such exposures could induce nonspecific hyperresponsiveness in nonatopic (nonsensitized) guinea pigs and/or could exacerbate the pre-existing hyperresponsive state in atopic (sensitized) animals, and whether gender was a factor modulating any effect of O(3). Responsiveness was measured during and following exposures to 0.1 and 0.3 ppm O(3) for 4 h/day, 4 days/wk for 24 wk in male and female nonsensitized animals, those sensitized to allergen (ovalbumin) prior to initiation of O(3) exposures, and those sensitized concurrently with exposures. Ozone did not produce hyperresponsiveness in nonsensitized animals, but did exacerbate hyperresponsiveness to both specific and nonspecific bronchoprovocation challenges in sensitized animals, an effect that persisted through at least 4 wk after exposures ended. Gender was not a factor modulating response to O(3). Induced effects on responsiveness were not associated with numbers of eosinophils in the lungs nor with any chronic pulmonary inflammatory response, but were correlated with antigen-specific antibodies in blood. This study supports a role for chronic O(3) exposure in the exacerbation of airways dysfunction in a certain segment of the general population, namely, those demonstrating atopy.
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Affiliation(s)
- Richard B Schlesinger
- Department of Environmental Medicine, New York University School of Medicine, 57 Old Forge Road, Tuxedo, NY 10987, USA
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Nakamura H, Ishizaka A, Urano T, Sayama K, Sakamaki F, Terashima T, Waki Y, Soejima K, Tasaka S, Hasegawa N. Effects of pretreatment with SDZ MRL 953, a novel immunostimulatory lipid A analog, on endotoxin-induced acute lung injury in guinea pigs. CLINICAL AND DIAGNOSTIC LABORATORY IMMUNOLOGY 1995; 2:672-7. [PMID: 8574827 PMCID: PMC170218 DOI: 10.1128/cdli.2.6.672-677.1995] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
SDZ MRL 953 (SDZ), a novel immunostimulatory lipid A analog, has been reported to have immunopharmacological activities similar to those of lipopolysaccharide (LPS) but to have little of the toxicity of LPS. We investigated the effects of pretreatment with SDZ on Escherichia coli endotoxin-induced acute lung injury in guinea pigs. Four experimental groups consisted of saline control (n = 16), SDZ (-12 h) plus LPS (2 mg/kg of SDZ per kg of body weight injected intravenously 12 h before intravenous injection of 2 mg of LPS per kg; n = 15), SDZ (-10 min) plus LPS (SDZ injected 10 min before LPS injection; n = 10), and LPS alone (n = 16). The animals were sacrificed, and lung tissue was sampled 4 h after LPS or saline infusion. Lung injury was assessed by measuring the wet weight-to-dry weight ratio and the level of 125I-labeled albumin accumulation in bronchoalveolar lavage fluid relative to that in plasma. In the SDZ (-12 h) plus LPS group, these two parameters of acute lung injury were decreased compared with those in the LPS alone group. However, they were not decreased in the SDZ (-10 min) plus LPS group. We conclude that SDZ attenuates endotoxin-induced acute lung injury when it is administered 12 h before LPS injection. The attenuating effects of SDZ are speculated to be due to down regulation of the response to endotoxin rather than to receptor blocking.
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Affiliation(s)
- H Nakamura
- Department of Medicine, School of Medicine, Keio University, Tokyo, Japan
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Koterba AM, Wozniak JA, Kosch PC. Changes in breathing pattern in the normal horse at rest up to age one year. Equine Vet J 1995; 27:265-74. [PMID: 8536662 DOI: 10.1111/j.2042-3306.1995.tb03075.x] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
Changes in pattern of airflow, sequence of respiratory muscle activation and generated pressures were measured serially in a group of foals during the first year post partum, in order to describe the maturation of the equine breathing pattern. In neonatal foals, inspiration and expiration were both primarily active and airflow pattern was essentially monophasic. By age 1 year, foals displayed essentially the same breathing pattern previously described in adult horses, utilising a combination of active and passive inspiration and expiration to breathe around, rather than from, the relaxation volume of the respiratory system (Vrx). A strong temporal relationship during growth was found between the timing of changes observed in airflow pattern and in the neuromuscular strategy of breathing. The transition to the adult breathing pattern appeared to involve a time delay in activation of both inspiratory and expiratory muscle groups, establishing a passive and active component to both inspiration and expiration. Throughout the study period, concurrent with the increase in delay of abdominal muscle activation, the expiratory flow pattern became progressively more biphasic in appearance. The time of appearance of a consistent biphasic inspiratory flow pattern was considerably later, at approximately age 1 year and coincided with the appearance of a delay in inspiratory muscle activation. From our results, we conclude that the transition from the neonatal to the adult breathing strategy in the horse appears not to be induced by the time course of chest wall stiffening during maturation. While changes in relative body proportions and size of abdominal contents during growth may influence the transition in breathing, our results also indicate that respiratory control mechanisms play an essential role in the expression of the polyphasic breathing pattern.
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Affiliation(s)
- A M Koterba
- Department of Physiological Sciences, HSC College of Veterinary Medicine University of Florida, Gainesville 32610, USA
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Koterba AM, Wozniak JA, Kosch PC. Respiratory mechanics of the horse during the first year of life. RESPIRATION PHYSIOLOGY 1994; 95:21-41. [PMID: 8153451 DOI: 10.1016/0034-5687(94)90045-0] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
This study investigated the developmental changes in the mechanical properties of the respiratory system in growing horses. Pulmonary mechanics and lung volumes were serially measured in anesthetized foals during the first year of life. Quasi-static pressure-volume curves were generated, and functional residual capacity (FRC) was measured using a closed nitrogen equilibration technique. At birth, chest wall compliance normalized to body weight was substantially less than that reported in other less precocious newborn species, while lung compliance normalized to body weight was similar to values reported for other species. Characteristics of the transition from the neonatal to adult respiratory system in the foal included a decrease in the ratios of chest wall to lung compliance (Cw/CL) and the unstressed volume of the chest wall to TLC, and a constant FRC/TLC throughout most of the study period. The somatic growth of the foal and its respiratory system were uneven processes, with increases in lung volume lagging increases in overall body size.
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Affiliation(s)
- A M Koterba
- Department of Physiological Sciences, College of Veterinary Medicine, University of Florida Gainesville 32610
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Lorino AM, Jarreau PH, Sartene R, Mathieu M, Macquin-Mavier I, Harf A. Bronchoconstriction-induced hyperinflation assessed by thoracic area measurement in guinea pigs. THE AMERICAN REVIEW OF RESPIRATORY DISEASE 1993; 147:392-7. [PMID: 8430964 DOI: 10.1164/ajrccm/147.2.392] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Abstract
The changes in end-expiratory lung volume (EELV) accompanying histamine-induced bronchoconstriction were compared for two routes of drug administration in anesthetized, paralyzed, and mechanically ventilated guinea pigs. Changes in EELV were estimated from measurements of thoracic cross-sectional area, assessed from the voltage induced by an external uniform magnetic field in a pickup coil encircling the rib cage. Increasing doses of histamine were administered as bolus injections in Group 1 (n = 7) and as nebulizations in Group 2 (n = 7). After each bronchial challenge, the maximum change in EELV and the associated intrinsic positive end-expiratory pressure (PEEPi) were measured at the same time. In both groups, bronchoconstriction was accompanied by an increase in EELV, which was related to the degree of bronchoconstriction and reached about 70 to 100% of the basal functional residual capacity. The increases in EELV were linearly related to the PEEPi values (p < 0.001) and did not depend on the route of histamine administration. These results indicate that dynamic hyperinflation is not the only mechanism involved in lung volume response to bronchoconstriction and suggest that gas trapping may have occurred in alveolar spaces.
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Affiliation(s)
- A M Lorino
- INSERM U 296, Département de Physiologie, Hôpital Henri Mondor, Créteil, France
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Peslin R, Marchal F, Choné C. Viscoelastic properties of rabbit lung during growth. RESPIRATION PHYSIOLOGY 1991; 86:189-98. [PMID: 1780599 DOI: 10.1016/0034-5687(91)90080-3] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
Viscoelasticity of air-filled isolated lungs of 1-120 day old rabbits was studied at a mean transpulmonary pressure (P1) of 0.65 kPa by measuring: (1) their stress relaxation (SR) following step volume changes (delta V) corresponding to 5% of the vital capacity; (2) their resistance (R1) and elastance (E1) during sinusoidal cycling at 11 frequencies (f) ranging from 0.01 to 0.65 Hz. SR data were analyzed by least-square regression using Hildebrandt's logarithmic model (Hildebrandt, J. (1970) J. Appl. Physiol. 28: 365-372): delta P1/delta V = A - B.log(t) where A is an index of elastance, and B/A is a measure of viscoelasticity. Coefficients A and B were also obtained from R1 and E1 according to: R1 = B/9.2 f and E1 = A + 0.25 B + B.log(2 pi f). Elastance corrected for lung weight increased by 40% between day 1 and days 3-7, and decreased thereafter to reach 30% of its initial value in 120 day old rabbits. B/A ratios also demonstrated an initial rise, followed by a progressive decrease. Values of B/A computed from R1 and E1 were similar to those derived from SR data in 1 day old rabbits, but were 20-30% larger in older animals, which indicates the presence of an additional rate-independent dissipation during flow. Total internal dissipation during cycling varied little with frequency; it was largest in 3-7 day old animals where it represented 20% of the stored elastic energy.
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Affiliation(s)
- R Peslin
- Unité 14 de Physiopathologie Respiratoire, Institut National de la Santé et de la Recherche Médicale, Vandoeuvre-les-Nancy, France
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Affiliation(s)
- C Gaultier
- Laboratory of Physiology, INSERM CJF 8909, Faculté de Médecine, Université Paris-Sud, Hôpital Antoine Béclère, Clamart, France
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Pliss LB, Ingenito EP, Ingram RH. Baseline lung function and inflammatory indices in guinea pigs: effects of growth, repeated lavage, and orotracheal intubation. Exp Lung Res 1990; 16:617-26. [PMID: 2081506 DOI: 10.3109/01902149009087884] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
We examined the relationships between baseline lung function, weight, and indices of inflammation in bronchoalveolar lavage (BAL) liquid in unsensitized, anesthetized guinea pigs (GPs) and evaluated a model for performing orotracheal intubation and BAL without having to sacrifice the animal. Thirty-six GPs were anesthetized and orotracheally intubated. Lung resistance (RL) and elastance (EL) were measured. BAL was then performed with sterile saline, and the animal permitted to cover. White blood cells and differentials, total protein (TP), histamine, prostaglandins (PGs) D2, F2a, E2, leukotrienes (LTs) B4, and C4/D4/E4 were measured in the BAL liquid as indices of inflammation. Body weight (and by inference, age) directly correlated with BAL concentrations at TP and PGD2 and inversely correlated with LTC4/D4/E4 and % eosinophils. Significant correlations were found between PGD2 vs. TP (r = 0.54, p less than .001), histamine vs. % eosinophils (r = 0.45, p = 0.03), and % macrophages vs. % neutrophils (r = -0.76, p less than .001). RL and EL did not correlate with BAL measurements of cells or mediators. A second group of 9 animals was lavaged, permitted to recover, and relavaged 2 weeks later, with no significant changes noted in lung mechanics, BAL cell profiles, or mediators between study days. These data demonstrate that some baseline BAL inflammatory indices in the GP correlate well with body weight and with each other and that baseline BAL measurements of inflammatory mediators may vary with size or age of the animal, an important consideration in studies using the GP for BAL measurements of inflammatory mediators. The data further document the reproducibility and feasibility of reintubating and lavaging the same animal over a period separated by 2 weeks without having to sacrifice the animal.
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Affiliation(s)
- L B Pliss
- Department of Medicine, Brigham and Women's Hospital and Harvard Medical School, Boston, Massachusetts 02115
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Stephens KE, Ishizaka A, Larrick JW, Raffin TA. Tumor necrosis factor causes increased pulmonary permeability and edema. Comparison to septic acute lung injury. THE AMERICAN REVIEW OF RESPIRATORY DISEASE 1988; 137:1364-70. [PMID: 3059859 DOI: 10.1164/ajrccm/137.6.1364] [Citation(s) in RCA: 258] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
Tumor necrosis factor alpha (TNF), a monokine produced by mononuclear cells in response to bacterial endotoxin (LPS), creates a syndrome similar to septic shock in animal models. To study whether TNF could induce acute lung injury similar to that seen in gram-negative sepsis, we injected recombinant human TNF (rHuTNF alpha) into guinea pigs and monitored arterial blood gases, leukocyte counts, and left atrial (Pla), pulmonary artery (Ppa), and mean arterial pressures (MAP) serially for 8 h. Pulmonary histopathology was assessed microscopically, and cell counts and 125I-labeled albumin (125I-albumin) in bronchoalveolar lavage (BAL) fluid and lung wet/dry weight ratios were determined. Five groups of animals were studied; the 2 TNF groups received high (1.4 X 10(6) U/kg) or low (1.0 X 10(6) U/kg) doses of rHuTNF alpha, the sepsis group received 2 X 10(9) Escherichia coli/kg intravenously, and the control group received saline. An LPS control group receiving 40 ng/kg E. coli LPS was also included because the rHuTNF alpha contained a small amount of LPS as a contaminant. Pulmonary permeability was assessed by studying the Pla and the BAL fluid/plasma 125I-albumin ratio (permeability index). The permeability index was significantly increased in the high-dose TNF (0.0408 +/- 0.0041, p less than 0.05) and sepsis groups (0.0466 +/- 0.0068, p less than 0.01) relative to controls (0.0215 +/- 0.0028). The wet/dry lung weight ratios were also significantly increased in the high-dose TNF (6.07 +/- 0.29, p less than 0.05) and sepsis groups (6.22 +/- 0.30, p less than 0.05) relative to the control group (5.18 +/- 0.20).(ABSTRACT TRUNCATED AT 250 WORDS)
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Affiliation(s)
- K E Stephens
- Department of Medicine, Stanford University Medical Center, California 94305-5204
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Ishizaka A, Stephens KE, Tazelaar HD, Hall EW, O'Hanley P, Raffin TA. Pulmonary edema after Escherichia coli peritonitis correlates with thiobarbituric-acid-reactive materials in bronchoalveolar lavage fluid. THE AMERICAN REVIEW OF RESPIRATORY DISEASE 1988; 137:783-9. [PMID: 3281528 DOI: 10.1164/ajrccm/137.4.783] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
We developed a new model of acute lung injury caused by live Escherichia coli peritonitis in guinea pigs. Arterial blood gas determinations, arterial blood pressure, and white blood cell counts were monitored serially for 12 h after the injection of either 2 x 10(9) E. coli J96 or saline. Lung water, albumin concentration in bronchoalveolar lavage fluid (BALF) and in lung tissue, WBC counts in BALF, and thiobarbituric-acid-reactive materials (TBARM) in plasma, lung tissue, and BALF were examined. Increased TBARM might be associated with pulmonary injury and are produced either by the generation of lipoperoxides secondary to oxygen-free radicals or as metabolic byproducts of prostanoid metabolism. Lung tissue sections were studied by light microscopy. E. coli peritonitis, as compared with control animals, caused significant peripheral neutropenia, histopathologic evidence of lung inflammation, acidosis, and hypotension. The wet-to-dry lung ratio was increased in the peritonitis group when compared with that in the control group (p less than 0.01). Pulmonary edema in the peritonitis group was associated with significantly increased albumin concentrations in BALF and lung tissue. We report the new finding of increased TBARM concentrations in BALF after E. coli peritonitis (p less than 0.01 and p less than 0.05, respectively). In contrast, plasma TBARM concentrations were unchanged. The levels of TBARM in the BALF correlated significantly with both lung water (p less than 0.01) and lung tissue albumin concentration (p less than 0.01). The measurement of elevated TBARM in BALF may allow acute lung injury to be detected. We conclude that this model may be useful for further studies of acute lung injury caused by E. coli peritonitis.
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Affiliation(s)
- A Ishizaka
- Department of Medicine, Stanford University Medical Center, California 94305-5236
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Abstract
The compliance of the lung (per unit of lung weight) is less in newborn mammals than in adults. This could result from a smaller volume of airspaces per unit weight and/or a lower lung distensibility. The isolated role of lung distensibility was evaluated by using a mathematical description of the pressure-volume (P-V) curve during lung deflation. Deflation limbs of static P-V curves in newborns of six species (four experimentally obtained and two taken from the literature) ranging from total lung capacity to the resting volume (Vr) were fitted by a monoexponential function of the type V = B - Ae-KP, where B equals Vmax at infinite P, A equals the difference between Vmax and V at P = O, and K is a constant representing lung distensibility. Unlike in adults, in newborns the monoexponential fitting provided an adequate description of the P-V curve for only a relatively small range of transpulmonary pressure (from P at Vr to 10-15 cm H2O). The K value of this portion of the curve was similar among species but higher than in adult mammals, averaging 0.240 cm H2O-1. This suggests a similar lung structure in the different species. Since lung distensibility in newborns is larger than in adults, the fact that a unit mass of lung in the newborn is less compliant should be due to the smaller volume of its airspaces.
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