Estimation of response slopes in respiratory control

1984 ◽  
Vol 56 (2) ◽  
pp. 536-539 ◽  
Author(s):  
D. L. Sherrill ◽  
G. D. Swanson
Keyword(s):  
Statistical Approach ◽  
Ventilatory Response ◽  
Respiratory Control ◽  
Major Axis ◽  
Bivariate Normal Distribution ◽  
Directional Statistics ◽  
Control Behavior ◽  
Slope Estimate ◽  
Partial Pressure Of Co2 ◽  
Reduced Major Axis

The ventilatory response to changes in alveolar (arterial) CO2 is widely used as an index of respiratory control behavior. Methods for estimating these response slopes should incorporate the possibility that there may be errors in both the independent (partial pressure of CO2) and dependent (ventilation) variables. In a recent paper Daubenspeck and Ogden (J. Appl. Physiol. Respirat. Environ. Exercise Physiol. 45:823–829, 1978) have suggested problems inherent in the traditional technique of reduced major axis and have suggested a more contemporary technique of directional statistics. We have previously analyzed both techniques and developed a method to overcome the problems of reduced major axis and problems inherent in the use of directional statistics. Under the assumption of a bivariate normal distribution, we demonstrate that our slope estimate is similar to the maximum likelihood estimate proposed by Mardia et al. (J. Appl. Physiol.: Respirat. Environ. Exercise Physiol. 54: 309–313, 1983) for this problem. In addition, we demonstrate a bootstrap statistical approach when the distributions are not normally distributed. These concepts are illustrated using O2-CO2 interaction data.

Living high-training low increases hypoxic ventilatory response of well-trained endurance athletes

2002 ◽  
Vol 93 (4) ◽  
pp. 1498-1505 ◽  
Author(s):  
Nathan E. Townsend ◽  
Christopher J. Gore ◽  
Allan G. Hahn ◽  
Michael J. McKenna ◽  
Robert J. Aughey ◽  
...  
Keyword(s):  
Ventilatory Response ◽  
Minute Ventilation ◽  
Respiratory Control ◽  
Endurance Athletes ◽  
Hypoxic Exposure ◽  
Dependent Manner ◽  
Hypoxic Ventilatory Response ◽  
Ambient Conditions ◽  
Altitude Exposure ◽  
End Tidal

This study determined whether “living high-training low” (LHTL)-simulated altitude exposure increased the hypoxic ventilatory response (HVR) in well-trained endurance athletes. Thirty-three cyclists/triathletes were divided into three groups: 20 consecutive nights of hypoxic exposure (LHTLc, n = 12), 20 nights of intermittent hypoxic exposure (four 5-night blocks of hypoxia, each interspersed with 2 nights of normoxia, LHTLi, n = 10), or control (Con, n = 11). LHTLc and LHTLi slept 8–10 h/day overnight in normobaric hypoxia (∼2,650 m); Con slept under ambient conditions (600 m). Resting, isocapnic HVR (ΔV˙e/ΔSpO2 , whereV˙e is minute ventilation and SpO2 is blood O2 saturation) was measured in normoxia before hypoxia (Pre), after 1, 3, 10, and 15 nights of exposure (N1, N3, N10, and N15, respectively), and 2 nights after the exposure night 20 (Post). Before each HVR test, end-tidal Pco 2(Pet CO2 ) and V˙e were measured during room air breathing at rest. HVR (l · min−1 · %−1) was higher ( P < 0.05) in LHTLc than in Con at N1 (0.56 ± 0.32 vs. 0.28 ± 0.16), N3 (0.69 ± 0.30 vs. 0.36 ± 0.24), N10 (0.79 ± 0.36 vs. 0.34 ± 0.14), N15 (1.00 ± 0.38 vs. 0.36 ± 0.23), and Post (0.79 ± 0.37 vs. 0.36 ± 0.26). HVR at N15 was higher ( P < 0.05) in LHTLi (0.67 ± 0.33) than in Con and in LHTLc than in LHTLi. Pet CO2 was depressed in LHTLc and LHTLi compared with Con at all points after hypoxia ( P < 0.05). No significant differences were observed for V˙e at any point. We conclude that LHTL increases HVR in endurance athletes in a time-dependent manner and decreases Pet CO2 in normoxia, without change inV˙e. Thus endurance athletes sleeping in mild hypoxia may experience changes to the respiratory control system.

scholarly journals METABOLIC SCALING REGULARITY IN AQUATIC ECOSYSTEMS

2012 ◽  
Vol 27 (2) ◽  
pp. 13
Author(s):  
L. A. Salcido -Guevara ◽  
F. Arreguín -Sánchez ◽  
L. Palmeri ◽  
A. Barausse
Keyword(s):  
Aquatic Ecosystems ◽  
Major Axis ◽  
Ecosystem Metabolism ◽  
Power Scaling ◽  
Metabolic Scaling ◽  
Relevant Role ◽  
Geographic Differences ◽  
Reduced Major Axis ◽  
Distribución Geográfica ◽  
Trophic Models

We tested the hypothesis that ecosystem metabolism follows a quarter power scaling relation, analogous to organisms. Logarithm of Biomass/Production (B/P) to Trophic Level (TL) relationship was estimated to 98 trophic models of aquatic ecosystems. A normal distribution of the slopes gives a modal value of 0.64, which was significantly different of the theoretical value of 0.75 (p0.05). We also tested for error in both variables, Log (B/P) and TL, through a Reduced Major Axis regression with similar results, with a modal value of 0.756 (p>0.05). We also explored a geographic distribution showing no significant relation (p>0.05) to latitude and between different regions of the world. We conclude that: a) ecosystem metabolism follows the quarter-power scaling rule; b) transfer efficiency between TL plays a relevant role characterizing local attributes to ecosystem metabolism; and c) there is neither latitudinal nor geographic differences. These findings confirm the existence of a metabolic scaling regularity in aquatic ecosystems. Regularidad del escalamiento metabólico en ecosistemas acuáticos Se contrastó la hipótesis de que el metabolismo de un ecosistema sigue una relación de escalamiento análoga a la existente en los organismos. La relación entre el logaritmo de la razón Producción/Biomasa (B/P) y el nivel trófico (TL) se estimó para 98 modelos tróficos de los ecosistemas acuáticos. Una distribución normal de las pendientes de esta relación produjo un valor modal de 0.64 que es significativamente diferente del valor teórico de 0.75 (p0.05) similar al teórico esperado. También se contrastó la hipótesis de existencia de error en ambas variables, logaritmo (B/P) y TL, a través de la técnica de regresión denominada “Reduced Major Axis”, con resultados similares según el valor modal de 0.756, sin diferencia estadísticamente significativa (p>0.05) del valor teórico. Se exploró la existencia de algún patrón en la distribución geográfica, sin obtenerse relación significativa (p>0.05) con la latitud, o con diferentes regiones del mundo. Las conclusiones son: a) el metabolismo del ecosistema sigue la regla de escalamiento metabólico de 3/4; b) la eficiencia de la transferencia entre TL desempeña un papel relevante, representando los atributos locales del metabolismo del ecosistema; c) no hay una diferencias latitudinal o geográfica. Estos resultados confirman la existencia de una regularidad en el escalamiento metabólico en ecosistemas acuáticos.

scholarly journals On the Allometric Relationship Between Size and Composition of Avian Eggs: A Reassessment

The Condor ◽  
2007 ◽  
Vol 109 (3) ◽  
pp. 705-714 ◽  
Author(s):  
Todd W. Arnold ◽  
Andy J. Green
Keyword(s):  
Maternal Investment ◽  
Major Axis ◽  
Ordinary Least Squares ◽  
Egg Mass ◽  
Correlated Errors ◽  
Least Squares Regression ◽  
Inert Component ◽  
Female Component ◽  
Investment In Reproduction ◽  
Reduced Major Axis

AbstractAbstract. Numerous investigators have used allometric regression to characterize the relationship between proportional egg composition and egg size, which is a potentially important characterization for assessing maternal investment in reproduction. Herein, we document two important shortcomings of this approach. First, regressing log component mass against log egg mass involves regressing Y on itself, since each component (Y) is necessarily a part of the whole egg (X). This creates correlated errors, which leads to biased estimates of the regression slope. To circumvent this problem, we recommend regressing egg component masses on a relatively inert component like total water mass. Secondly, investigators routinely use ordinary least squares regression to estimate the slope of allometric relationships, which assumes that all error resides in Y. We demonstrate that this assumption is false, but so are the underlying error assumptions of commonly used alternatives such as reduced major axis and major axis regression. Because each egg is unique and determining composition involves destructive sampling, there is no obvious way to assess measurement error in Y versus X. As a solution, we recommend that investigators analyze multiple eggs per clutch whenever possible and fit a reduced major axis based on the among-female component of variability.

Stress-induced attenuation of the hypercapnic ventilatory response in awake rats

2001 ◽  
Vol 90 (5) ◽  
pp. 1729-1735 ◽  
Author(s):  
Richard Kinkead ◽  
Lydie Dupenloup ◽  
Nadine Valois ◽  
Roumiana Gulemetova
Keyword(s):  
Control System ◽  
Immobilization Stress ◽  
Ventilatory Response ◽  
Minute Ventilation ◽  
Respiratory Control ◽  
Whole Body ◽  
Respiratory Homeostasis ◽  
Whole Body Plethysmography ◽  
Ventilatory Response To Hypoxia ◽  
Awake Rats

To test the hypothesis that stress alters the performance of the respiratory control system, we compared the acute (20 min) responses to moderate hypoxia and hypercapnia of rats previously subjected to immobilization stress (90 min/day) with responses of control animals. Ventilatory measurements were performed on awake rats using whole body plethysmography. Under baseline conditions, there were no differences in minute ventilation between stressed and unstressed groups. Rats previously exposed to immobilization stress had a 45% lower ventilatory response to hypercapnia (inspiratory CO2 fraction = 0.05) than controls. In contrast, stress exposure had no statistically significant effect on the ventilatory response to hypoxia (inspiratory O2 fraction = 0.12). Stress-induced attenuation of the hypercapnic response was associated with reduced tidal volume and inspiratory flow increases; the frequency and timing components of the response were not different between groups. We conclude that previous exposure to a stressful condition that does not constitute a direct challenge to respiratory homeostasis can elicit persistent (≥24 h) functional plasticity in the ventilatory control system.

Ventilatory response to transient hyperoxia in head injury hyperventilation

1980 ◽  
Vol 49 (1) ◽  
pp. 52-58 ◽  
Author(s):  
A. G. Leitch ◽  
J. E. McLennan ◽  
S. Balkenhol ◽  
R. L. McLaurin ◽  
R. G. Loudon
Keyword(s):  
Head Injury ◽  
Ventilatory Response ◽  
Minute Ventilation ◽  
Respiratory Control ◽  
Normal Subjects ◽  
Respiratory Alkalosis ◽  
Cerebral Injury ◽  
Peripheral Chemoreceptor ◽  
Male Patients ◽  
Almost All

We have measured breath-by-breath instantaneous minute ventilation (VIinst) before, during, and after the administration of 10 breaths of 100% oxygen to seven male patients with head injury hyperventilation. The patients were hypoxemic (PaO2 61.2 ± 6.3) and hypocapnic (PaCO2 26.6 ± 5.9) with a respiratory alkalosis (pH 7.53 ± 0.06) while breathing air. Following the oxygen VIinst fell on the average by 40 ± 12.7% from 16.06 ± 3.75 1.min-1 to a minimum of 9.73 ± 3.20 1.min-1 at 20.4 ± 2.9 s after the first breath of oxygen. In the majority of our hyperventilating patients, almost all of the resting hyperventilation could be abolished transiently by 100% oxygen. This fall in ventilation represents the peripheral chemoreceptor contribution to resting ventilation and is increased in the head injury patients in comparison with normal subjects breathing air or hypoxic gas mixtures, altitude-acclimatized subjects and patients who are hypoxic because of chronic bronchitis or interstitial lung disease. We suggest that the increased reflex hypoxic drive to ventilation found in our patients is secondary to their cerebral injury, resulting in a reduction of descending cortical inhibitory influences on the medullary respiratory control centers.

Estimation of response slopes in respiratory control using directional statistics

1978 ◽  
Vol 45 (5) ◽  
pp. 823-829 ◽  
Author(s):  
J. A. Daubenspeck ◽  
R. D. Ogden
Keyword(s):  
Statistical Analysis ◽  
Physiological Response ◽  
Respiratory Control ◽  
Directional Data ◽  
Statistical Techniques ◽  
Directional Statistics ◽  
Analysis Techniques ◽  
Straight Line ◽  
Response Slope ◽  
Direct Measurements

The ventilatory sensitivity to alveolar PCO2 and slope of the straight line relating VE to VT are two examples of response slopes of interest in respiratory control. Statistical techniques have not been available to analyze repeated direct estimations of these slopes by paired consideration of initial and final responses to a stimulus. Rather, existing statistical techniques sacrifice much information by describing the response slope as that of the line which, in some sense, best fits the unpaired responses. We have adapted techniques established for the statistical analysis of directional data to analyze direct measurements of these physiological response slopes and have found that the application of these directional techniques can result in better estimation of the ventilatory sensitivity to CO2, for example, than is provided using unpaired analysis techniques.

Respiratory control in humans after 8 h of lowered arterial Po 2, hemodilution, or carboxyhemoglobinemia

2001 ◽  
Vol 90 (4) ◽  
pp. 1189-1195 ◽  
Author(s):  
Xiaohui Ren ◽  
Keith L. Dorrington ◽  
Peter A. Robbins
Keyword(s):  
Oxygen Content ◽  
Ventilatory Response ◽  
Acute Hypoxia ◽  
Venous Blood ◽  
Respiratory Control ◽  
Progressive Increase ◽  
Arterial Oxygen ◽  
Hypoxic Ventilatory Response ◽  
Arterial Oxygen Content ◽  
End Tidal

In humans exposed to 8 h of isocapnic hypoxia, there is a progressive increase in ventilation that is associated with an increase in the ventilatory sensitivity to acute hypoxia. To determine the relative roles of lowered arterial Po 2 and oxygen content in generating these changes, the acute hypoxic ventilatory response was determined in 11 subjects after four 8-h exposures: 1) protocol IH (isocapnic hypoxia), in which end-tidal Po 2 was held at 55 Torr and end-tidal Pco 2 was maintained at the preexposure value; 2) protocol PB (phlebotomy), in which 500 ml of venous blood were withdrawn; 3) protocol CO, in which carboxyhemoglobin was maintained at 10% by controlled carbon monoxide inhalation; and 4) protocol C as a control. Both hypoxic sensitivity and ventilation in the absence of hypoxia increased significantly after protocol IH ( P < 0.001 and P < 0.005, respectively, ANOVA) but not after the other three protocols. This indicates that it is the reduction in arterial Po 2 that is primarily important in generating the increase in the acute hypoxic ventilatory response in prolonged hypoxia. The associated reduction in arterial oxygen content is unlikely to play an important role.

Possible alterations in brain monoamine metabolism during hypoxia-induced tachypnea in cats

1980 ◽  
Vol 49 (5) ◽  
pp. 769-777 ◽  
Author(s):  
H. Gautier ◽  
M. Bonora
Keyword(s):  
Control Systems ◽  
Ventilatory Response ◽  
Respiratory Control ◽  
Monoamine Metabolism ◽  
Moderate Hypoxia ◽  
Significant Depression ◽  
Brain Monoamine ◽  
Conscious Animals ◽  
Ventilatory Response To Hypoxia ◽  
Stimulation Of

In carotid body-denervated cats, moderate hypoxia, or even normoxia when compared to hyperoxia, provokes a significant depression of the respiratory output. This is observed in conscious or anesthetized or decerebrated animals. On the other hand, more severe hypoxia induces tachypnea (hypoxic tachypnea of Miller and Tenney, Respir. Physiol. 23: 31-39, 1975) in conscious cats, whereas the same hypoxia is followed by marked respiratory depression or apnea in the anesthetized or decerebrated animals. Hypoxic tachypnea can be partly or completely reversed by injection of dopa or xanthines such as caffeine or aminophylline. This suggests that alterations in brain monoamine metabolism by hypoxia may be responsible for the alterations in suprapontine respiratory control systems, resulting the tachypnea. Mild hypercapnia can also reverse hypoxic tachypnea. It is concluded that the ventilatory response to hypoxia of conscious animals results from stimulation of peripheral chemoreceptors, inhibition of brain stem neurons, and finally involvement of suprapontine structures that seems to be mediated by depletion of monoamines.

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