Abstract
During non-steady-state exercise, dynamic changes in pulmonary oxygen uptake (\(\dot{V} {\text{O}_{\text{2pulm}}}\)) are dissociated from skeletal muscle \( \dot{V} {\text{O}_2}\) (\(\dot{V} {\text{O}_{\text{2musc}}}\)) by changes in lung and venous O2 concentrations (CvO2), and the dynamics and distribution of cardiac output (CO) between active muscle and remaining tissues (\( \dot{Q}_{\text{rem}}\)). Algorithms can compensate for fluctuations in lung O2 stores, but the influences of CO and CvO2 kinetics complicate estimation of \(\dot{V} {\text{O}_{\text{2musc}}}\) from cardio-pulmonary measurements. We developed an algorithm to estimate \(\dot{V} {\text{O}_{\text{2musc}}}\) kinetics from \(\dot{V} {\text{O}_{\text{2pulm}}}\) and heart rate (HR) during exercise. 17 healthy volunteers (28 ± 7 years; 71 ± 12 kg; 7 females) performed incremental exercise using recumbent cycle ergometry (\(\dot{V} {\text{O}_{\text{2peak}}}\) 52 ± 8 ml min−1 kg−1). Participants completed a pseudo-random binary sequence (PRBS) test between 30 and 80 W. \(\dot{V} {\text{O}_{\text{2pulm}}}\) and HR were measured, and CO was estimated from HR changes and steady-state stroke volume. \(\dot{V} {\text{O}_{\text{2musc}}}\) was derived from a circulatory model and time series analyses, by solving for the unique combination of venous volume and the perfusion of non-exercising tissues that provided close to mono-exponential \(\dot{V} {\text{O}_{\text{2musc}}}\) kinetics. Independent simulations showed that this approach recovered the \(\dot{V} {\text{O}_{\text{2musc}}}\) time constant (τ) to within 7 % (R 2 = 0.976). Estimates during PRBS were venous volume 2.96 ± 0.54 L; \( \dot{Q}_{\text{rem}}\) 3.63 ± 1.61 L min−1; τHR 27 ± 11 s; τ\(\dot{V} {\text{O}_{\text{2musc}}}\) 33 ± 8 s; τ\(\dot{V} {\text{O}_{\text{2pulm}}}\) 43 ± 14 s; \(\dot{V} {\text{O}_{\text{2pulm}}}\) time delay 19 ± 8 s. The combination of stochastic test signals, time series analyses, and a circulatory model permitted non-invasive estimates of \(\dot{V} {\text{O}_{\text{2musc}}}\) kinetics. Large kinetic dissociations exist between muscular and pulmonary \(\dot{V} {\text{O}_{\text{2}}}\) during rapid exercise transients.
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Abbreviations
- ACF:
-
Auto-correlation function
- ACFoffset :
-
Shift of the auto-correlation function baseline
- CaO2 :
-
Arterial oxygen concentration
- CCF:
-
Cross-correlation function
- CCFmax :
-
Peak of cross-correlation function
- CO:
-
Cardiac output
- CvmuscO2 :
-
Venous oxygen concentration in exercising muscle
- CvremO2 :
-
Oxygen concentration in venous from non-exercising tissues
- HR:
-
Heart rate
- PRBS:
-
Pseudo-random binary sequence
- \( \dot{Q}_{\text{rem}}\) :
-
Perfusion of non-exercising tissues
- \( \dot{Q}_{\text{musc}}\) :
-
Perfusion of exercising muscle
- SV:
-
Stroke volume
- τ:
-
Time constant of mono-exponential function
- TD:
-
Time delay of mono-exponential function
- t max :
-
Time (relative to exercise onset) of CCFmax
- \(\dot{V} {\text{O}_{\text{2musc}}}\) :
-
Exercising muscle oxygen uptake
- \(\dot{V} {\text{O}_{\text{2pulm}}}\) :
-
Pulmonary oxygen uptake
- \(\dot{V} {\text{O}_{\text{2rem}}}\) :
-
Oxygen uptake in non-exercising tissues
- V v :
-
Venous volume
- WR:
-
Work rate
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Acknowledgments
The study was supported by: the DLR (Deutsches Zentrum für Luft- und Raumfahrt), Germany (FKZ 50WB0726); and the Biotechnology and Biological Sciences Research Council, UK (BB/I00162/X).
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The authors declare that they have no conflict of interest.
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Communicated by Keith Phillip George.
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Hoffmann, U., Drescher, U., Benson, A.P. et al. Skeletal muscle \( \dot{V} {\text{O}_2}\) kinetics from cardio-pulmonary measurements: assessing distortions through O2 transport by means of stochastic work-rate signals and circulatory modelling. Eur J Appl Physiol 113, 1745–1754 (2013). https://doi.org/10.1007/s00421-013-2598-7
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DOI: https://doi.org/10.1007/s00421-013-2598-7