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Exceeding a “critical” muscle Pi: implications for \(\dot{\text{V}}\text{O}_{2}\) and metabolite slow components, muscle fatigue and the power–duration relationship

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Abstract

Purpose

The consequences of the assumption that the additional ATP usage, underlying the slow component of oxygen consumption (\(\dot{\text{V}}\text{O}_{2}\)) and metabolite on-kinetics, starts when cytosolic inorganic phosphate (Pi) exceeds a certain “critical” Pi concentration, and muscle work terminates because of fatigue when Pi exceeds a certain, higher, “peak” Pi concentration are investigated.

Methods

A previously developed computer model of the myocyte bioenergetic system is used.

Results

Simulated time courses of muscle \(\dot{\text{V}}\text{O}_{2}\), cytosolic ADP, pH, PCr and Pi at various ATP usage activities agreed well with experimental data. Computer simulations resulted in a hyperbolic power–duration relationship, with critical power (CP) as an asymptote. CP was increased, and phase II \(\dot{\text{V}}\text{O}_{2}\) on-kinetics was accelerated, by progressive increase in oxygen tension (hyperoxia).

Conclusions

Pi is a major factor responsible for the slow component of the \(\dot{\text{V}}\text{O}_{2}\) and metabolite on-kinetics, fatigue-related muscle work termination and hyperbolic power–duration relationship. The successful generation of experimental system properties suggests that the additional ATP usage, underlying the slow component, indeed starts when cytosolic Pi exceeds a “critical” Pi concentration, and muscle work terminates when Pi exceeds a “peak” Pi concentration. The contribution of other factors, such as cytosolic acidification, or glycogen depletion and central fatigue should not be excluded. Thus, a detailed quantitative unifying mechanism underlying various phenomena related to skeletal muscle fatigue and exercise tolerance is offered that was absent in the literature. This mechanism is driven by reciprocal stimulation of Pi increase and additional ATP usage when “critical” Pi is exceeded.

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Abbreviations

AUT :

Relative ATP usage activity

CP:

Critical power

OXPHOS:

Oxidative phosphorylation

PCr:

Phosphocreatine

Pi :

Inorganic phosphate

PO:

Power output

\(\dot{\text{V}}\text{O}_{2}\) :

Oxygen uptake (muscle or pulmonary)

References

  • Allen DG, Westerblad H (2001) Role of phosphate and calcium stores in muscle fatigue. J Physiol 536:657–665

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Allen DG, Lamb GD, Westerblad H (2008) Skeletal muscle fatigue: cellular mechanisms. Physiol Rev 88:287–332

    Article  CAS  PubMed  Google Scholar 

  • Barker T, Poole DC, Noble ML, Barstow TJ (2006) Human critical power-oxygen uptake relationship at different pedalling frequencies. Exp Physiol 91:621–632

    Article  PubMed  Google Scholar 

  • Barstow TJ, Molé PA (1991) Linear and nonlinear characteristics of oxygen uptake kinetics during heavy exercise. J Appl Physiol 71:2099–2106

    Article  CAS  PubMed  Google Scholar 

  • Broxterman RM, Hureau TJ, Layec G, Morgan DE, Bledsoe AD, Jessop JE, Amann M, Richardson RS (2018) Influence of group III/IV muscle afferents on small muscle mass exercise performance: a bioenergetics perspective. J Physiol 596:2301–2314

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Burnley M, Jones AM (2007) Oxygen uptake kinetics as a determinant of sports performance. Eur J Sport Sci 7:63–79

    Article  Google Scholar 

  • Cannon DT, White AC, Andriano MF, Kolkhorst FW, Rossiter HB (2011) Skeletal muscle fatigue precedes the slow component of oxygen uptake kinetics during exercise in humans. J Physiol 589:727–739

    Article  CAS  PubMed  Google Scholar 

  • Cannon DT, Bimson WE, Hampson SA, Bowen TS, Murgatroyd SR, Marwood S, Kemp GJ, Rossiter HB (2014) Skeletal muscle ATP turnover by 31P magnetic resonance spectroscopy during moderate and heavy bilateral knee extension. J Physiol 592:5287–5300

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Cooke R, Franks K, Luciani GB, Pate E (1988) The inhibition of rabbit skeletal muscle contraction by hydrogen ions and phosphate. J Physiol 395:77–97

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Davies MJ, Benson AP, Cannon DT, Marwood S, Kemp GJ, Rossiter HB, Ferguson C (2017) Dissociating external power from intramuscular exercise intensity during intermittent bilateral knee-extension in humans. J Physiol 595:6673–6686

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Enoka RM, Duchateau J (2008) Muscle fatigue: what, why and how it influences muscle function. J Physiol 586:11–23

    Article  CAS  PubMed  Google Scholar 

  • Gandevia SC (2001) Spinal and supraspinal factors in human muscle fatigue. Physiol Rev 81:1725–1789

    Article  CAS  PubMed  Google Scholar 

  • Goulding RP, Roche DM, Marwood S (2019) Hyperoxia speeds pulmonary uptake kinetics and increases critical power during supine cycling. Exp Physiol 104:1061–1073

    Article  CAS  PubMed  Google Scholar 

  • Grassi B, Rossiter HB, Zoladz JA (2015) Skeletal muscle fatigue and decreased efficiency: two sides of the same coin? Exerc Sport Sci Rev 43:75–83

    Article  PubMed  Google Scholar 

  • Hureau TJ, Romer LM, Amann M (2018) The ‘sensory tolerance limit’: a hypothetical construct determining exercise performance? Eur J Sport Sci 18:13–24

    Article  PubMed  Google Scholar 

  • Hureau TJ, Weavil JC, Thurston TS, Wan HY, Gifford JR, Jessop JE, Buys MJ, Richardson RS, Amann M (2019) Pharmacological attenuation of group III/IV muscle afferents improves endurance performance when oxygen delivery to locomotor muscles is preserved. J Appl Physiol (in press).

  • Jenkins DG, Quigley BM (1992) Endurance training enhances critical power. Med Sci Sports Exerc 24:1283–1289

    Article  CAS  PubMed  Google Scholar 

  • Jones AM, Wilkerson DP, DiMenna F, Fulford J, Poole DC (2008) Muscle metabolic responses to exercise above and below the “critical power” assessed using 31P-MRS. Am J Physiol Regul Integr Comp Physiol 294:R585–R593

    Article  CAS  PubMed  Google Scholar 

  • Jones DA, Turner DL, McIntyre DB, Newham DJ (2009) Energy turnover in relation to slowing of contractile properties during fatiguing contractions of the human anterior tibialis muscle. J Physiol 587:4329–4338

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Jones AM, Vanhatalo A, Burnley M, Morton RH, Poole DC (2010) Critical power: implications for determination of \(\dot{\text{V}}\text{O}_{2}\)max and exercise tolerance. Med Sci Sports Exerc 42:1876–1890

    Article  PubMed  Google Scholar 

  • Jones AM, Grassi B, Christensen B, Krustrup P, Bangsbo J, Poole DC (2011) Slow component of \(\dot{\text{V}}\text{O}_{2}\) kinetics: mechanistic bases and practical applications. Med Sci Sports Exerc 43:2046–2062

    Article  PubMed  Google Scholar 

  • Keir DA, Copithorne DB, Hodgson MD, Pogliaghi S, Rice CL, Kowalchuk JM (2016) The slow component of pulmonary O2 uptake accompanies peripheral muscle fatigue during high-intensity exercise. J Appl Physiol 121:493–502

    Article  CAS  PubMed  Google Scholar 

  • Keir DA, Paterson DH, Kowalchuk JM, Murias JM (2018) Using ramp-incremental \(\dot{\text{V}}\text{O}_{2}\) responses for constant-intensity exercise selection. Appl Physiol Nutr Metab 43:882–892

    Article  PubMed  Google Scholar 

  • Korzeniewsk B (2019) Pi-induced muscle fatigue leads to near-hyperbolic power–duration dependence. Eur J Appl Physiol 119:2201–2213

    Article  CAS  Google Scholar 

  • Korzeniewski B (1998) Regulation of ATP supply during muscle contraction: theoretical studies. Biochem J 330:1189–1195

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Korzeniewski B (2006) AMP deamination delays muscle acidification during heavy exercise and hypoxia. J Biol Chem 281:3057–3066

    Article  CAS  PubMed  Google Scholar 

  • Korzeniewski B (2017a) Regulation of oxidative phosphorylation through each-step activation (ESA): evidences from computer modeling. Prog Biophys Mol Biol 125:1–23

    Article  CAS  PubMed  Google Scholar 

  • Korzeniewski B (2017b) Contribution of proton leak to oxygen consumption in skeletal muscle during intense exercise is very low despite large contribution at rest. PLoS ONE 12:e0185991

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Korzeniewski B (2018a) Regulation of oxidative phosphorylation is different in electrically- and cortically-stimulated skeletal muscle. PLoS ONE 13:e0195620

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Korzeniewski B (2018b) Muscle \(\dot{\text{V}}\text{O}_{2}\)-power output nonlinearity in constant-power, step-incremental, and ramp-incremental exercise: magnitude and underlying mechanisms. Physiol Rep 6:e13915

    Article  PubMed Central  CAS  Google Scholar 

  • Korzeniewski B, Liguzinski P (2004) Theoretical studies on the regulation of anaerobic glycolysis and its influence on oxidative phosphorylation in skeletal muscle. Biophys Chem 110:147–169

    Article  CAS  PubMed  Google Scholar 

  • Korzeniewski B, Rossiter HB (2015) Each-step activation of oxidative phosphorylation is necessary to explain muscle metabolite kinetic responses to exercise and recovery in humans. J Physiol 593:5255–5268

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Korzeniewski B, Zoladz JA (2001) A model of oxidative phosphorylation in mammalian skeletal muscle. Biophys Chem 92:17–34

    Article  CAS  PubMed  Google Scholar 

  • Korzeniewski B, Zoladz JA (2003) Possible factors determining the non-linearity in the VO2-power output relationship in humans” theoretical studies. Jpn J Physiol 53:271–280

    Article  PubMed  Google Scholar 

  • Korzeniewski B, Zoladz JA (2015) Possible mechanisms underlying slow component of \(\dot{\text{V}}\text{O}_{2}\) on-kinetics in skeletal muscle. J Appl Physiol 118:1240–1249

    Article  PubMed  Google Scholar 

  • Korzeniewski B, Rossiter HB, Zoladz JA (2018) Mechanisms underlying extremely fast muscle VO2 on-kinetics in humans. Phys Rep 6:e13808

    Article  CAS  Google Scholar 

  • Murgatroyd SR, Wylde LA (2011) The power–duration relationship of high-intensity exercise: from mathematical parameters to physiological mechanisms. J Physiol 589:2443–2445

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Özyener F, Rossiter HB, Ward SA, Whipp BJ (2001) Influence of exercise intensity on the on- and off-transient kinetics of pulmonary oxygen uptake in humans. J Physiol 533:891–902

    Article  PubMed  PubMed Central  Google Scholar 

  • Paterson DH, Whipp BJ (1991) Asymmetries of oxygen uptake transients at the on- and offset of heavy exercise in humans. J Physiol 443:575–586

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Poole DC, Ward SA, Gardner GW, Whipp BJ (1988) Metabolic and respiratory profile of the upper limit for prolonged exercise in man. Ergonomics 31:1265–1279

    Article  CAS  PubMed  Google Scholar 

  • Poole DC, Burnley M, Vanhatalo A, Rossiter HB, Jones AM (2016) Critical power: an important fatigue threshold in exercise physiology. Med Sci Sports Exerc 48:2320–2334

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Rossiter HB (2011) Exercise: kinetic considerations for gas exchange. Compr Physiol 1:203–244

    PubMed  Google Scholar 

  • Rossiter HB, Ward SA, Kowalchuk JM, Howe FA, Griffiths JR, Whipp BJ (2002) Dynamic asymmetry of phosphocreatine concentration and O2 uptake between the on- and off-transients of moderate- and high-intensity exercise in humans. J Physiol 541:991–1002

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Stirling JR, Zakynthinaki M (2009) Counterpoint: the kinetics of oxygen uptake during muscular exercise do not manifest time-delayed phases. J Appl Physiol 107:1665–1667 (Discussion 1667–1668)

    Article  PubMed  Google Scholar 

  • Sundberg CW, Prost RW, Fitts RH, Hunter SK (2019) Bioenergetic basis for the increased fatigability with ageing. J Physiol 597:4943–4957

    Article  CAS  PubMed  Google Scholar 

  • Vanhatalo A, Fulford J, DiMenna FJ, Jones AM (2010) Influence of hyperoxia on muscle metabolic responses and the power–duration relationship during severe-intensity exercise in humans: a 31P magnetic resonance spectroscopy study. Exp Physiol 95:528–540

    Article  CAS  PubMed  Google Scholar 

  • Wan J-j, Quin Z, Wang P-y, Liu X (2017) Muscle fatigue: general understanding and treatment. Exp Mol Med 49:e384

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Wilkerson DP, Koppo K, Barstow TJ, Jones AM (2004) Effect of work rate on the functional ‘gain’ of Phase II pulmonary O2 uptake response to exercise. Resp Physiol Neurobiol 142:211–223

    Article  Google Scholar 

  • Wilson JR, McCully KK, Mancini DM, Boden B, Chance B (1988) Relationship of muscular fatigue to pH and diprotonated Pi in humans: a 31P-NMR study. J Appl Physiol 64:2333–2339

    Article  CAS  PubMed  Google Scholar 

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Contributions

BK and HBR invented the general idea; BK invented the detailed mechanism, carried out computer simulations and made figures; BK and HBR interpreted and discussed the results; BK and HBR wrote the article; BK and HBR accepted the final version of the manuscript.

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Correspondence to Bernard Korzeniewski.

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The authors declare that they do not have any conflict of interest.

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Communicated by Susan Hopkins.

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Korzeniewski, B., Rossiter, H.B. Exceeding a “critical” muscle Pi: implications for \(\dot{\text{V}}\text{O}_{2}\) and metabolite slow components, muscle fatigue and the power–duration relationship. Eur J Appl Physiol 120, 1609–1619 (2020). https://doi.org/10.1007/s00421-020-04388-4

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  • DOI: https://doi.org/10.1007/s00421-020-04388-4

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