Roy, Tuhin K.

World record speeds at different distances for men and women in different age categories are used to develop a model to predict running performance as a function of race distance, age, and sex. This empirical model quantifies the decline in running speed with distance and age in a way that provides insight into the aerobic and anaerobic contributions to running speed and may help with developing training strategies for different age groups at various distances.

Severe impairment of oxygenation in critically ill patients is a major cause of morbidity and mortality, and can occur even with normal alveolar ventilation and cardiac output under conditions of decreased diffusing capacity or increased flow heterogeneity. A theoretical model of pulmonary oxygen uptake under resting conditions is used to simulate decreased diffusing capacity (DL) as well as increased heterogeneity (characterized by an increase in the coefficient of variation [CV] of pulmonary capillary blood flow), with the assumed normal value of CV based on observations of microvascular networks. Under resting conditions with nominal values of DL and CV, the model predicts an oxygen saturation (SO 2 ) of 97% (PO 2 = 94 mmHg). Simulating a 10‐fold reduction in DL leads to an SO 2 of 85% (PO 2 = 51 mmHg), whereas doubling the CV from its normal value leads to an SO 2 of 95% (PO 2 = 78 mmHg); both of these predictions suggest a high degree of reserve in the healthy resting lung. However, simulating these conditions simultaneously leads to a large reduction in SO 2 to 71% (PO 2 = 37 mmHg), exhausting the reserve capacity of the lung and demonstrating the detrimental synergistic effect of heterogeneity in the context of an attenuated diffusing capacity. These results imply that a combination of increased heterogeneity and decreased diffusing capacity can explain the severe impairment in pulmonary oxygen uptake and decreased saturations seen in critical illness. Support or Funding Information Supported by NIH grant HL070657.

AbstractOxygen transport from the lungs to peripheral tissue is dependent on the affinity of hemoglobin for oxygen. Recent experimental data have suggested that the maximum human capacity for oxygen uptake and utilization (V̇O2max) at sea level and altitude (~3000 m) is sensitive to alterations in hemoglobin‐oxygen affinity. However, the effect of such alterations on V̇O2max at extreme altitudes remains largely unknown due to the rarity of mutations affecting hemoglobin‐oxygen affinity. This work uses a mathematical model that couples pulmonary oxygen uptake with systemic oxygen utilization under conditions of high metabolic demand to investigate the effect of hemoglobin‐oxygen affinity on V̇O2max as a function of altitude. The model includes the effects of both diffusive and convective limitations on oxygen transport. Pulmonary oxygen uptake is calculated using a spatially‐distributed model that accounts for the effects of hematocrit and hemoglobin‐oxygen affinity. Systemic oxygen utilization is calculated assuming Michaelis–Menten kinetics. The pulmonary and systemic model components are solved iteratively to compute predicted arterial and venous oxygen levels. Values of V̇O2max are predicted for several values of hemoglobin‐oxygen affinity and hemoglobin concentration based on data from humans with hemoglobin mutations. The model predicts that increased hemoglobin‐oxygen affinity leads to increased V̇O2max at altitudes above ~4500 m.

Background: Hemoglobin, the primary oxygen-carrying protein in humans, provides the intermediate link between pulmonary oxygen uptake and tissue oxygen consumption. Oxygen transport is greatly influenced by the hemoglobin-oxygen affinity, which is commonly characterized by the metric P50 - defined as the oxygen tension at which 50% of hemoglobin is saturated. Humans with rare hemoglobin mutations causing a low P50 (high hemoglobin-oxygen affinity) have demonstrated remarkable preservation of exercise tolerance at high altitude conditions (~3,000m). However, the influence of a low P50 on V̇O2max at extreme altitudes (>5,500m) remains largely unexamined. To examine the dependence of V̇O2max on P50 and altitude, we developed a computational model of oxygen uptake and utilization. We hypothesized that a low P50 would result in a better maintained V̇O2max at extreme altitudes compared to conditions of normal P50 and high P50 (low hemoglobin-oxygen affinity). Methods: We created a model that couples pulmonary oxygen uptake with systemic oxygen utilization to estimate V̇O2max as a function of P50, hemoglobin concentration, and altitude. Fixed values for cardiac output and tissue oxygen demand for V̇O2max at sea level were assigned in accordance with experimental data. The pulmonary oxygen uptake model assumes a single blood compartment exposed to alveolar gas, from which the arterial oxygen tension may be estimated from venous input. Using the alveolar gas equation, we interpolated respiratory parameters from data obtained during human sojourn to the summit of Everest. The systemic oxygen utilization model uses arterial input parameters along with Michaelis-Menten kinetics to compute oxygen consumption. The Fick principle was used to determine the venous oxygen tension, which was assumed to approximate tissue oxygen tension. From these values, systemic oxygen extraction and V̇O2max were determined as a function of P50, hemoglobin concentration, and altitude. Results: We present the results for several cases of P50 (low, normal, and high) and hemoglobin concentrations as a function of altitude. For a low P50, the model demonstrated a greater arterial oxygen saturation, greater oxygen content, and lower systemic extraction at extreme altitudes compared to values determined for cases of normal and high P50. Additionally, a low P50 led to better maintenance of V̇O2max at ~8,850m (~38% decrease from sea-level V̇O2max) compared to values determined for normal P50 and high P50 (~53% and ~67% decrease from sea-level V̇O2max, respectively, P<0.05). Conclusion: This model demonstrates the importance of P50 in the determination of V̇O2max at various altitudes. At low altitudes, a low P50 does not confer an advantage in terms of oxygen utilization, likely due to diffusive oxygen limitations. However, at high and extreme altitudes, a greater convective oxygen transport associated with a low P50 likely outweighs impairments in oxygen diffusivity. This project was supported by the National Institutes of Health R-35-HL139854. This is the full abstract presented at the American Physiology Summit 2023 meeting and is only available in HTML format. There are no additional versions or additional content available for this abstract. Physiology was not involved in the peer review process.

During hypoxic exposure, humans with high-affinity hemoglobin (and compensatory polycythemia) have blunted increases in heart rate compared with healthy humans with typical oxyhemoglobin dissociation curves. This response may be associated with altered autonomic control of heart rate. Our hypothesis-generating study aimed to investigate cardiac baroreflex sensitivity and heart rate variability among nine humans with high-affinity hemoglobin [6 females, O2 partial pressure at 50% [Formula: see text] (P50) = 16 ± 1 mmHg] compared with 12 humans with typical affinity hemoglobin (6 F, P50 = 26 ± 1 mmHg). Participants breathed normal room air for a 10-min baseline, followed by 20 min of isocapnic hypoxic exposure, designed to lower the arterial partial pressure O2 ([Formula: see text]) to ∼50 mmHg. Beat-by-beat heart rate and arterial blood pressure were recorded. Data were averaged in 5-min periods throughout the hypoxia exposure, beginning with the last 5 min of baseline in normoxia. Spontaneous cardiac baroreflex sensitivity and heart rate variability were determined using the sequence method and the time and frequency domain analyses, respectively. Cardiac baroreflex sensitivity was lower in humans with high-affinity hemoglobin than controls at baseline and during isocapnic hypoxic exposure (normoxia: 7 ± 4 vs. 16 ± 10 ms/mmHg, hypoxia minutes 15–20: 4 ± 3 vs. 14 ± 11 ms/mmHg; group effect: P = 0.02, high-affinity hemoglobin vs. control, respectively). Heart rate variability calculated in both the time (standard deviation of the N-N interval) and frequency (low frequency) domains was lower in humans with high-affinity hemoglobin than in controls (all P < 0.05). Our data suggest that humans with high-affinity hemoglobin may have attenuated cardiac autonomic function.

New Findings What is the central question of this study? Do humans with high‐affinity haemoglobin (HAH) demonstrate attenuated skeletal muscle deoxygenation during normoxic and hypoxic exercise? What is the main finding and its importance? Examination of near‐infrared spectroscopy‐derived muscle oxygenation profiles suggests that fractional oxygen extraction is blunted during hypoxic exercise in humans with HAH compared with control subjects. However, muscle tissue oxygen saturation levels were higher in humans with HAH during exercise in normoxia compared with control subjects. These alterations in fractional oxygen extraction in humans with HAH might influence blood flow regulation and exercise capacity during hypoxia. AbstractRecently, researchers in our laboratory have shown that humans with genetic mutations resulting in high‐affinity haemoglobin (HAH) demonstrate better maintained aerobic capacity and peak power output during hypoxic exercise versus normoxic exercise in comparison to humans with normal‐affinity haemoglobin. However, the influence of HAH on tissue oxygenation within exercising muscle during normoxia and hypoxia is unknown. Therefore, we examined near‐infrared spectroscopy‐derived oxygenation profiles of the vastus lateralis during graded cycling exercise in normoxia and hypoxia among humans with HAH (n = 5) and control subjects with normal‐affinity haemoglobin (n = 12). The HAH group elicited a blunted increase of deoxygenated haemoglobin + myoglobin during hypoxic exercise compared with the control group (P = 0.03), suggesting reduced fractional oxygen extraction in the HAH group. In addition, the HAH group maintained a higher level of muscle tissue oxygen saturation during normoxic exercise (HAH, 75 ± 4% vs. controls, 65 ± 3%, P = 0.049) and there were no differences between groups in muscle tissue oxygen saturation during hypoxic exercise (HAH, 68 ± 3% vs. controls, 68 ± 2%, P = 0.943). Overall, our results suggest that humans with HAH might demonstrate divergent patterns of fractional oxygen extraction during hypoxic exercise and elevated muscle tissue oxygenation during normoxic exercise compared with control subjects.

Abstract In the vascular system, an extensive network structure provides convective and diffusive transport of oxygen to tissue. In the microcirculation, parameters describing network structure, blood flow, and oxygen transport are highly heterogeneous. This heterogeneity can strongly affect oxygen supply and organ function, including reduced oxygen uptake in the lung and decreased oxygen delivery to tissue. The causes of heterogeneity can be classified as extrinsic or intrinsic. Extrinsic heterogeneity refers to variations in oxygen demand in the systemic circulation or oxygen supply in the lungs. Intrinsic heterogeneity refers to structural heterogeneity due to stochastic growth of blood vessels and variability in flow pathways due to geometric constraints, and resulting variations in blood flow and hematocrit. Mechanisms have evolved to compensate for heterogeneity and thereby improve oxygen uptake in the lung and delivery to tissue. These mechanisms, which involve long‐term structural adaptation and short‐term flow regulation, depend on upstream responses conducted along vessel walls, and work to redistribute flow and maintain blood and tissue oxygenation. Mathematically, the variance of a functional quantity such as oxygen delivery that depends on two or more heterogeneous variables can be reduced if one of the underlying variables is controlled by an appropriate compensatory mechanism. Ineffective regulatory mechanisms can result in poor oxygen delivery even in the presence of adequate overall tissue perfusion. Restoration of endothelial function, and specifically conducted responses, should be considered when addressing tissue hypoxemia and organ failure in clinical settings.

The ability of the lung to take up oxygen can be characterized by its effective diffusing capacity, which is determined by the transport characteristics of the alveolar‐capillary membrane as well as heterogeneity of pulmonary blood flow. At rest, the healthy lung has a high degree of tolerance for pulmonary flow heterogeneity, but under conditions of physiological stress such as exercise, oxygen uptake may be inadequate to satisfy tissue demand if flow is very heterogeneous. We previously used a mathematical model of pulmonary oxygen uptake to examine the ability of hypoxic pulmonary vasoconstriction (HPV) to mitigate flow heterogeneity. In the model, flow heterogeneity is characterized by the coefficient of variation (CV) of pulmonary capillary blood flow. Assuming an initial lognormal distribution of blood flow with a normal level of heterogeneity (CV = 1.66), we simulate flow regulation over a range of oxygen consumption from rest to maximal exercise by adjusting pulmonary flow resistance in each vessel in accordance with an HPV response curve obtained from previously published experimental data. The effect of HPV on vessel flow resistance is assumed to be characterized by a sigmoidal response dependent on the capillary oxygen tension, which is approximated as the mean of the venous and arterial values in each pulmonary capillary; its maximal sensitivity occurs at a stimulus oxygen tension of approximately 30 torr. The purpose of the present study was to determine whether altering the shape of the HPV response curve would result in an improvement in CV reduction. Altering the HPV by shifting the sigmoidal curve to the right by 10 or 20 torr worsened CV, extraction and total pulmonary vascular resistance (PVR). Similar detrimental results were obtained when the range of oxygen tensions over which HPV varied was expanded by a factor of two, increasing the oxygen tension at which the sensitivity of HPV to oxygen tension was maximal. On the other hand, shrinking the range of variation of the HPV curve by a factor of two neither improved nor significantly worsened the CV or extraction, and resulted in a PVR distribution similar to the case of the normal HPV curve. These results demonstrate that the observed shape of the HPV response tends to minimize heterogeneity of pulmonary flow under conditions of exercise.

Background Humans with high O 2 affinity hemoglobin (HAH) have a markedly lower partial pressure of O 2 at which 50% of hemoglobin is saturated (P 50 ) and a leftward shift of the oxy‐hemoglobin dissociation curve. Humans with HAH have attenuated heart rate responses during both acute and chronic hypoxic exposure relative to humans with typical P 50 . Despite the attenuated heart rate responses to hypoxia, there are typically no blood pressure differences found in humans with HAH relative to humans with typical P 50 . Due to the blunted heart rate and normal blood pressure responses to hypoxia in humans with HAH, this study aimed to investigate the impact of HAH on cardiac autonomic function during normoxia and hypoxia. We hypothesized that humans with HAH would have lower cardiac baroreflex sensitivity (cBRS) and heart rate variability (HRV) during normoxia and hypoxia relative to individuals with typical P 50. Methods Nine humans with a HAH mutation (6 female, Age: 40±12yrs, P 50 : 16±1 mmHg) and 12 controls with typical affinity hemoglobin (6 female, Age: 40±10yrs, P 50 : 26±1 mmHg) laid supine for 10‐minutes prior to 20‐minutes of isocapnic hypoxia, titrated to reduce arterial O 2 pressure to ~50 mmHg (Avg. F i O 2 = 11.9±0.0%). Beat‐to‐beat arterial pressures (arterial catheter) and heart rate (electrocardiogram) were continuously recorded. Data were averaged in five‐minute segments starting with the last five minutes of supine normoxic rest. Spontaneous cBRS was quantified using the sequence method. HRV was measured in time and frequency domains. Standard deviation of the RR interval (SDRR) was calculated as the standard deviation of all RR intervals in a data segment. Low frequency (LF) HRV was calculated using Fast Fourier Transformation and assessed as absolute spectral intensity in the LF band (0.04‐0.15Hz). Results Arterial oxygen (P a O 2 ) and carbon dioxide (P a CO 2 ) pressures were not different between humans with HAH and controls during normoxia or isocapnic hypoxia [P a O 2 : (HAH vs. Control): 48±3 vs. 47±2 mmHg, p=0.612; P a CO 2 : (HAH vs. Control): 40±3 vs. 39±1 mmHg, p=0.328] exposure. cBRS was lower in humans with HAH compared to controls in normoxia and throughout isocapnic hypoxia [normoxia (HAH vs. Control): 7±4 vs. 16±10 ms/mmHg; hypoxia minutes 15‐20 (HAH vs. Control): 4±3 vs. 14±11 ms/mmHg; Hb type, p=0.024]. Several metrics of HRV were lower in humans with HAH relative to control (SDRR: Hb type, p≤0.001; LF: Hb type, p=0.030) and HRV was blunted to a similar extent in both groups with hypoxia (SDRR: time effect, p=0.009). Conclusion The findings of this study are twofold. Compared to controls, humans with HAH have: 1) attenuated cardiac baroreflex sensitivity and 2) lower heart rate variability in both normoxia and isocapnic hypoxia.