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Blood lactate concentration increases as a continuous function in progressive exercise.

R L Hughson, K H Weisiger, G D Swanson

    Journal of Applied Physiology (Bethesda, Md. : 1985)
    |May 1, 1987
    PubMed
    Summary
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    A continuous mathematical model better describes the relationship between blood lactate concentration and oxygen uptake during exercise than the log-log threshold model. This finding suggests a new lactate slope index for assessing exercise fitness.

    Area of Science:

    • Exercise Physiology
    • Sports Science
    • Biophysics

    Background:

    • Understanding the relationship between blood lactate concentration ([La-]) and oxygen uptake (VO2) is crucial for assessing exercise performance and fitness.
    • Previous models, such as the [La-] threshold concept proposed by Beaver et al., have been used to characterize this relationship.
    • The accuracy and appropriateness of different mathematical models for describing [La-] and VO2 kinetics during incremental exercise require further investigation.

    Purpose of the Study:

    • To compare the goodness-of-fit of two mathematical models: a log-log transformation and a continuous exponential model, for describing the [La-]–VO2 relationship.
    • To evaluate the suitability of a continuous model for representing [La-] accumulation during incremental exercise.
    • To propose a novel index, the lactate slope index, derived from the continuous model, as a potential indicator of exercise fitness.

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    Main Methods:

    • Twenty-three incremental exercise tests were conducted on eight subjects using a cycle ergometer with a 50-W/min ramp function.
    • Blood lactate concentration ([La-]) and oxygen uptake (VO2) were measured throughout the exercise tests.
    • Two mathematical models were fitted to the [La-]–VO2 data: a log-log transformation and a continuous exponential model (La- = a + b[exp(cVO2)]).

    Main Results:

    • The continuous exponential model demonstrated a significantly better fit to the [La-]–VO2 data compared to the log-log model in 21 out of 23 datasets (P < 0.001).
    • The Mean Square Error (MSE) was, on average, 3.5 times greater for the log-log model than for the continuous model.
    • Residual analysis indicated random distribution for the continuous model, whereas the log-log model showed non-random patterns, suggesting inappropriateness.
    • A novel lactate slope index, defined as the VO2 where the rate of increase of [La-] equals the rate of increase of VO2 (d[La-]/dVO2 = 1), was determined to be 2.241 ± 0.081 L/min, averaging 64.6% of maximal VO2.

    Conclusions:

    • A continuous mathematical model provides a more accurate and appropriate description of the relationship between blood lactate concentration and oxygen uptake during incremental exercise than the log-log threshold model.
    • The proposed lactate slope index, derived from the continuous model, offers a potential alternative to the traditional lactate threshold concept for assessing relative exercise fitness.
    • The findings support the use of continuous modeling for analyzing [La-] kinetics and suggest a new metric for evaluating physiological responses to exercise.