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Lactate after exercise in man: IV. Physiological observations and model predictions

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Summary

Following earlier papers that established the mathematical form of the time dependence of lactate concentrations during recovery from several types of exercise, and that set up a two-compartment model predicting the same time dependences, the present work applies the model to obtain parameters of specific physiological processes. Satisfactory agreement between predictions of the model and our experiment and literature data is obtained in the cases where comparisons can be made, as in the muscular lactate time evolution measured from biopsy samples, in blood flows through the active muscle at the end of exercise or at rest and their evolution during recovery, as well as in the volume of the active muscle compartment. The model prediction that lactate efflux from the muscles to the blood can reduce to zero during recovery is verified experimentally.

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Abbreviations

A 1, A 2 :

Amplitudes of the two exponential terms fitted to arterial lactate concentrations (Μmol·1−1)

α 12, α 21 :

Transfer coefficients from (M) to (S) and (S) to (M) respectively (min−1)

A D :

Area of the body according to Dubois (m2)

BM :

Body mass (kg)

C 1, C 2 :

Amplitudes of the exponential terms of L m (t) (Μmol·1−1)

c 1, d 1 :

Rates of lactate production in (M) and (S), respectively (Μmol·min−1)

c 2, d 2 :

Coefficients of lactate disappearance in (M) and (S) respectively (min−1)

F 1 :

Field of validity of the model (see [32])

γ 1, γ 2 :

Velocity constants of the exponential terms fitted to arterial lactate concentrations (min−1)

L a (t):

Arterial lactate concentration at time t (mmol·1−1 or Μmol·1−1)

L a max:

Maximum arterial lactate concentration of the recovery (mmol·1−1)

L fv (t):

Femoral venous blood lactate concentration at time t (mmol·−1)

L M (t), L S (t):

Lactate concentrations in (M) and (S), respectively at time t (mmol·1−1 or Μmol·1−1)

(M):

Working or active muscle space

q(t) :

Blood flow through (M) at time t (ml·100 ml−1·min−1)

Φ MS (t):

Rate of net lactate release from (M) to (S) at time t (mmol·min−1)

Μ :

Rate of net lactate release from (M) to (S) at t→∞(Μmol·min−1)

(S):

Remaining lactate space

t :

Time after the end of exercise (min)

θ, θ′ :

Moments at which the net lactate release from (M) to (S) becomes zero (min)

θ 2 :

Moment of the intersection of the arterial and brachial venous blood lactate curves (min)

θ fa1, θ fa2 :

Moments of the intersection of the arterial and femoral venous blood lactate curves (min)

V M , V s , V TLS :

Volume of (M), (S), and (TLS), respectively, [1]

(TLS):

Total lactate space

ε :

Difference between L M (∞) and L s (∞)

References

  1. Ahlborg G, Hagenfeldt L, Wahren J (1975) Substrate utilization by the inactive leg during one-leg or arm exercise. J Appl Physiol 39: 718–723

    Google Scholar 

  2. Bergström J, Guarnieri G, Hultman E (1971) Carbohydrate metabolism and electrolyte changes in human muscle tissue during heavy work. J Appl Physiol 30: 122–125

    Google Scholar 

  3. Bonde-Petersen F, Henriksson J, Lundin B (1975) Blood flow in thigh muscle during bicycling exercise at varying work rates. Eur J Appl Physiol 34: 191–197

    Google Scholar 

  4. Cerretelli P, Sikand R, Fahri LE (1966) Readjustments in cardiac output and gas exchange during onset of exercise and recovery. J Appl Physiol 21: 1345–1350

    Google Scholar 

  5. Diamant B, Karlsson J, Saltin B (1968) Muscle tissue lactate after maximal exercise in man. Acta Physiol Scand 72: 383–384

    Google Scholar 

  6. Donald KW, Wormald PN, Taylor SH, Bishop JM (1957) Changes in the oxygen content of femoral venous blood and leg blood flow during leg exercise in relation to cardiac output response. Clin Sci 16: 567–591

    Google Scholar 

  7. Ekblom B, Hermansen L (1968) Cardiac output in athletes. J Appl Physiol 25: 619–625

    Google Scholar 

  8. Essen B, Jansson E, Henriksson J, Taylor AW, Saltin B (1975) Metabolic characteristics of fibre types in human skeletal muscle. Acta Physiol Scand 95: 153–165

    Google Scholar 

  9. Freund H, Gendry P (1978) Lactate kinetics after short strenuous exercise in man. Eur J Appl Physiol 39: 123–135

    Google Scholar 

  10. Freund H, Zouloumian P (1981) Lactate after exercise in man: I. Evolution kinetics in arterial blood. Eur J Appl Physiol 46: 121–133

    Google Scholar 

  11. Gollnick PD, Piehl K, Saubert CW, Armstrong RB, Saltin B (1972) Diet, exercise and glycogen changes in human muscle fibers. J Appl Physiol 33: 421–425

    Google Scholar 

  12. Hagenfeldt L, Wahren J (1972) Human forearm muscle metabolism during exercise. VII. FFA uptake and oxydation at different work intensities. Scand J Clin Lab Invest 30: 429–436

    Google Scholar 

  13. Harris RC, Sahlin K, Hultman E (1977) Phosphagen and lactate contents of m. quadriceps femoris of man after exercise. J Appl Physiol 43: 852–857

    Google Scholar 

  14. Hermansen L, Maehlum S, Pruett EDR, Vaage O, Waldum H, Wessel-Aas T (1975) Lactate removal at rest and during exercise. In: Howald H, Poortmans JR (eds) Metabolic adaptation to prolonged physical exercise. BirkhÄuser, Basel, pp 101–105

    Google Scholar 

  15. Hermansen L, Stensvold I (1972) Production and removal of lactate during exercise in man. Acta Physiol Scand 86: 191–201

    Google Scholar 

  16. Hermansen L, Vaage O (1977) Lactate disappearance and glycogen synthesis in human muscle after maximal exercise. Am J Physiol 233: E422-E429

    Google Scholar 

  17. Hughes RL, Clode M, Edwards RHT, Goodwin TJ, Jones NL (1968) Effect of inspired O2 on cardiopulmonary and metabolic responses to exercise in man. J Appl Physiol 24: 336–347

    Google Scholar 

  18. Jorfeldt L, Juhlin-Dannfeldt A, Karlsson J (1978) Lactate release in relation to tissue lactate in human skeletal muscle during exercise. J Appl Physiol 44: 350–352

    Google Scholar 

  19. Karlsson J (1971) Lactate and phosphagen concentrations in working muscle of man. Acta Physiol Scand 81: [Suppl] 358

    Google Scholar 

  20. Karlsson J, Nordesjö LO, Jorfeldt L, Saltin B (1972) Muscle lactate, ATP and CP levels during exercise after physical training in man. J Appl Physiol 33: 199–203

    Google Scholar 

  21. Knuttgen HG, Saltin B (1972) Muscle metabolites and oxygen uptake in short-term submaximal exercise in man. J Appl Physiol 32: 690–694

    Google Scholar 

  22. McGrail JC, Bonen A, Belcastro AN (1978) Dependence of lactate removal on muscle metabolism in man. Eur J Appl Physiol 39: 89–97

    Google Scholar 

  23. Rowell LB (1974) Human cardiovascular adjustments to exercise and thermal stress. Physiol Rev 54: 75–159

    Google Scholar 

  24. Sahlin K, Harris RC, Nylind B, Hultman E (1976) Lactate content and pH in muscle samples obtained after dynamic exercise. Pflügers Arch 367: 143–149

    Google Scholar 

  25. Saltin B, Wahren J, Pernow B (1974) Phosphagen and carbohydrate metabolism during exercise in trained middle-aged men. Scand J Clin Lab Invest 33: 71–77

    Google Scholar 

  26. Searle GL, Cavalieri RR (1972) Determination of lactate kinetics in the human analysis of data from single injection versus continuous infusion methods. Proc Soc Exp Biol (NY) 139: 1002–1006

    Google Scholar 

  27. Stenberg J, Astrand PO, Ekblom B, Royce J, Saltin B (1967) Hemodynamic response to work with different muscle groups, sitting and supine. J Appl Physiol 22: 61–70

    Google Scholar 

  28. Tesch P, Sjödin B, Karlsson J (1978) Relationship between lactate accumulation, LDH activity, LDH isozyme, and fibre type distribution in human skeletal muscle. Acta Physiol Scand 103: 40–46

    Google Scholar 

  29. Tesch P, Sjödin B, Thorstensson A, Karlsson J (1978) Muscle fatigue and its relation to lactate accumulation and LDH activity in man. Acta Physiol Scand 103: 413–420

    Google Scholar 

  30. Wahren J, Felig P, Hagenfeldt L, Hendler R, Ahlborg G (1975) Splanchnic and leg metabolism of glucose, free fatty acids, and amino acids during prolonged exercise in man. In: Howald H, Poortmans JR (eds) Metabolic adaptation to prolonged physical exercise. BirkhÄuser, Basel, pp 144–153

    Google Scholar 

  31. Zouloumian P, Freund H (1981) Lactate after exercise in man. II. Mathematical model. Eur J Appl Physiol 46: 135–147

    Google Scholar 

  32. Zouloumian P, Freund H (1981) Lactate after exercise in man. III. Properties of the compartment model. Eur J Appl Physiol 46: 149–160

    Google Scholar 

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  1. Centre d'Etudes Bioclimatiques (CNRS), 21, rue Becquerel, F-67087, Strasbourg Cedex, France

    H. Freund & P. Zouloumian

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  1. H. Freund
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Freund, H., Zouloumian, P. Lactate after exercise in man: IV. Physiological observations and model predictions. Europ. J. Appl. Physiol. 46, 161–176 (1981). https://doi.org/10.1007/BF00428868

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