Estimation of V?O2max from the ratio between HRmax and HRrest ? the Heart Rate Ratio Method

Abstract

Derivation of an equation for a relationship between _ V O 2max and the ratio between HR max and HR rest According to the Fick principle, _ V O 2 may be expressed as the product of cardiac output ð _ QÞand the arterio-venous O 2 difference (CaO 2 ÀC" vO 2 ).Thus, since _ Q is the product of HR and stroke volume (SV), _ V O 2 can be expressed as:When applied to rest _ V O 2 can be expressed as:implying that:During maximal exercise the Fick equation reads:By multiplying the right side of Eq. 5 with 1 in the form of Eq. 4 it follows that:This implies that _ V O 2max may be calculated as the product of _ V O 2rest and the ratios of maximal versus resting values of, respectively, HR, SV, and (CaO 2 ÀC" vO 2 ). _ V O 2rest is dependent on and increases with the individual's body mass. Å strand and Rodahl (1986) suggest that, relative to body mass (BM), resting _ V O 2 equals about 3.5 mlAEmin À1 AEkg À1 (one MET), but slightly lower values were reported by McCann and Adams (2002) (3.3 for men and 3.1 for women, respectively). As a compromise we chose 3.4 mlAEmin À1 AEkgÀ1 to represent the massspecific resting _ V O 2 . Accordingly, _ V O 2rest (mlAEmin À1 ) may be expressed as 3.4 mlAEmin À1 AEkg À1 times BM in kg.From a test perspective only the HR max -to-HR rest ratio is readily obtainable. The other two ratios in the equation involve complicated measurements, in factThe online version of the original article can be found at http:// dx

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