Acessibilidade / Reportar erro

Sex-Specific Equations to Estimate Maximum Oxygen Uptake in Cycle Ergometry

Abstract

Background:

Aerobic fitness, assessed by measuring VO2max in maximum cardiopulmonary exercise testing (CPX) or by estimating VO2max through the use of equations in exercise testing, is a predictor of mortality. However, the error resulting from this estimate in a given individual can be high, affecting clinical decisions.

Objective:

To determine the error of estimate of VO2max in cycle ergometry in a population attending clinical exercise testing laboratories, and to propose sex-specific equations to minimize that error.

Methods:

This study assessed 1715 adults (18 to 91 years, 68% men) undertaking maximum CPX in a lower limbs cycle ergometer (LLCE) with ramp protocol. The percentage error (E%) between measured VO2max and that estimated from the modified ACSM equation (Lang et al. MSSE, 1992) was calculated. Then, estimation equations were developed: 1) for all the population tested (C-GENERAL); and 2) separately by sex (C-MEN and C-WOMEN).

Results:

Measured VO2max was higher in men than in WOMEN: -29.4 ± 10.5 and 24.2 ± 9.2 mL.(kg.min)-1 (p < 0.01). The equations for estimating VO2max [in mL.(kg.min)-1] were: C-GENERAL = [final workload (W)/body weight (kg)] x 10.483 + 7; C-MEN = [final workload (W)/body weight (kg)] x 10.791 + 7; and C-WOMEN = [final workload (W)/body weight (kg)] x 9.820 + 7. The E% for MEN was: -3.4 ± 13.4% (modified ACSM); 1.2 ± 13.2% (C-GENERAL); and -0.9 ± 13.4% (C-MEN) (p < 0.01). For WOMEN: -14.7 ± 17.4% (modified ACSM); -6.3 ± 16.5% (C-GENERAL); and -1.7 ± 16.2% (C-WOMEN) (p < 0.01).

Conclusion:

The error of estimate of VO2max by use of sex-specific equations was reduced, but not eliminated, in exercise tests on LLCE.

Keywords:
Breathing Exercise / utilization; Physical Exertion; Oxygen Consumption; Cardiopulmonary Exercise Testing; Demographic Data; Ergometry

Resumo

Fundamento:

A condição aeróbica, avaliada pela medida do VO2máx no teste cardiopulmonar de exercício máximo (TCPE) ou estimada por equações no teste de exercício, é preditora de mortalidade. Porém, o erro obtido pela estimativa em um dado indivíduo pode ser alto, afetando decisões clínicas.

Objetivo:

Determinar o erro de estimativa do VO2máx em cicloergometria em população atendida nos serviços de ergometria e propor equações específicas por sexo para minimizar o erro na estimativa do VO2máx.

Métodos:

Foram avaliados 1715 adultos (18 a 91 anos) (68% homens) submetidos a TCPE máximo em cicloergômetro de membros inferiores (CMI) com protocolo de rampa. Calculou-se o erro percentual (E%) entre o VO2máx medido e o estimado pela equação ACSM modificada (Lang e col. MSSE, 1992). A seguir, foram desenvolvidas equações de estimativa: 1) para toda a amostra testada (C-GERAL) e 2) separadamente por sexo (C-HOMENS e C-MULHERES).

Resultados:

O VO2máx medido foi maior em homens do que em mulheres - 29,4 ± 10,5 e 24,2 ± 9,2 mL.(kg.min)-1 (p < 0,01) -. As equações de estimativa do VO2máx foram mL.(kg.min)-1: C-GERAL = [carga final (W)/peso (kg)] x 10,483 + 7; C‑HOMENS = [carga final (W)/peso (kg)] x 10,791 + 7; e C-MULHERES = [carga final (W)/peso (kg)] x 9,820 + 7. Os E% em homens foram -3,4 ± 13,4% (ACSM modificada), 1,2 ± 13,2% (C-GERAL) e -0,9 ± 13,4% (C-HOMENS) (p < 0,01). Em mulheres, obtivemos: -14,7 ± 17,4% (ACSM modificada), -6,3 ± 16,5% (C-GERAL) e -1,7 ± 16,2% (C-MULHERES) (p < 0,01).

Conclusão:

O erro de estimativa do VO2máx através de equações específicas por sexo foi reduzido, porém não eliminado, nos testes de exercício em CMI.

Palavras-chave:
Exercício Respiratório / utilização; Esforço Físico; Consumo de Oxigênio; Teste Cardiopulmonar de Exercício; Dados Demográficos; Ergometria

Introduction

Aerobic fitness is an independent predictor of mortality 1 1. Barry VW, Baruth M, Beets MW, Durstine JL, Liu J, Blair SN. Fitness vs. fatness on all-cause mortality: a meta-analysis. Prog Cardiovasc Dis. 2014;56(4):382-90.

2. Kodama S, Saito K, Tanaka S, Maki M, Yachi Y, Asumi M, et al. Cardiorespiratory fitness as a quantitative predictor of all-cause mortality and cardiovascular events in healthy men and women: a meta-analysis. JAMA. 2009;301(19):2024-35.
-3 3. Laukkanen JA, Rauramaa R, Salonen JT, Kurl S. The predictive value of cardiorespiratory fitness combined with coronary risk evaluation and the risk of cardiovascular and all-cause death. J Intern Med. 2007;262(2):263-72. and provides relevant diagnostic and prognostic information4 4. Myers J, Prakash M, Froelicher V, Do D, Partington S, Atwood JE. Exercise capacity and mortality among men referred for exercise testing. N Engl J Med. 2002;346(11):793-801.

5. Chang JA, Froelicher VF. Clinical and exercise test markers of prognosis in patients with stable coronary artery disease. Curr Probl Cardiol. 1994;19(9):533-87.

6. Pate RR, Pratt M, Blair SN, Haskell WL, Macera CA, Bouchard C, et al. Physical activity and public health. A recommendation from the Centers for Disease Control and Prevention and the American College of Sports Medicine. JAMA. 1995;273(5):402-7.

7. Kavanagh T, Mertens DJ, Hamm LF, Beyene J, Kennedy J, Corey P, et al. Peak oxygen intake and cardiac mortality in women referred for cardiac rehabilitation. J Am Coll Cardiol. 2003;42(12):2139-43.
-8 8. Mitchell JH, Sproule BJ, Chapman CB. The physiological meaning of the maximal oxygen intake test. J Clin Invest. 1958;37(4):538-47.. It is non-invasively assessed by measuring maximum oxygen uptake (VO2max) during exercise testing, in which expired gases are collected and analyzed. This procedure is called maximum cardiopulmonary exercise testing (CPX)9 9. Albouaini K, Egred M, Alahmar A, Wright DJ. Cardiopulmonary exercise testing and its application. Heart. 2007;93(10):1285-92.,1010. Haskell WL, Lee IM, Pate RR, Powell KE, Blair SN, Franklin BA, et al. Physical activity and public health: updated recommendation for adults from the American College of Sports Medicine and the American Heart Association. Med Sci Sports Exerc. 2007;39(8):1423-34..

Although available at several clinical exercise testing laboratories, VO2max measurement requires professional training1111. Guazzi M, Adams V, Conraads V, Halle M, Mezzani A, Vanhees L, et al. EACPR/AHA Joint Scientific Statement. Clinical recommendations for cardiopulmonary exercise testing data assessment in specific patient populations. Eur Heart J. 2012;33(23):2917-27. and specific equipment, and increases the time for test performance, hindering the wider use of CPX.

When CPX cannot be performed, VO2max can be estimated by use of equations based on duration1212. Bruce RA, Kusumi F, Hosmer D. Maximal oxygen intake and nomographic assessment of functional aerobic impairment in cardiovascular disease. Am Heart J. 1973;85(4):546-62. or intensity at peak exertion1313. American College of Sports Medicine. (ACSM). Guidelines for graded exercise testing and training. 3rd ed. Philadelphia: Lea & Febiger; 1986. p. 162-3.,1414. Lang PB, Latin RW, Berg KE, Mellion MB. The accuracy of the ACSM cycle ergometry equation. Med Sci Sports Exerc. 1992;24(2):272-6.. By applying these equations to groups of individuals, the association between estimated and measured VO2max values tends to be good. However, the margin of error of estimate (EE) for a given subject can be large, greater than 15%1515. Araújo CG, Herdy AH, Stein R. Maximum oxygen consumption measurement: valuable biological marker in health and in sickness. Arq Bras Cardiol. 2013;100(4):e51-3.. Errors of such magnitude are rarely accepted in other biological variables, and exceed those observed in laboratory tests or in clinical and anthropometric measurements (height and weight). Considering that small variations in VO2max can lead to important differences in clinical management or sports training guidance1616. Kavanagh T, Mertens DJ, Hamm LF, Beyene J, Kennedy J, Corey P, et al. Prediction of long-term prognosis in 12 169 men referred for cardiac rehabilitation. Circulation. 2002;106(6):666-71., such errors can be challenging, requiring some effort to minimize them.

Theoretically, the mechanical efficiency in performing a certain motor gesture is expressed by the ratio between the work generated and the oxygen consumed in its performance1717. Jobson AS, Hopker JG, Korff T, Passfield L. Gross efficiency and cycling performance: a brief review. J Sci Cycling. 2012;1(1):3-8.. That efficiency varies between individuals and depends on age, sex, clinical condition and physical fitness. Most equations available for estimating VO2max, however, do not consider those possible relationships, which might contribute to errors in VO2max estimate. For example, considering anthropometric, physiological and biomechanical differences, as well as sports performance, the influence of sex on the EE of VO2max is worth assessing.

The objectives of this study were: a) to determine the EE of VO2max in cycle ergometry for a population undergoing CPX at a clinical exercise testing laboratory; and b) to propose sex-specific equations aimed at reducing the EE of aerobic capacity in cycle ergometry.

Methods

Sample

This study reviewed data of patients voluntarily submitted to CPX between January 2008 and June 2014 at a private clinical exercise testing laboratory. Patients simultaneously meeting the following inclusion criteria were selected: a) no previous assessment at the private clinical exercise testing laboratory; b) age ≥ 18 years; and c) maximum CPX performed on a lower limbs cycle ergometer (LLCE) (Inbrasport CG-04, Inbrasport, Brazil).

During that period, 3874 assessments were performed and, after applying the inclusion criteria, 1715 individuals (1172 men) were included (Figure 1). In addition, 200 individuals subsequently undergoing CPX and meeting the inclusion criteria were used to validate the equations developed.

Figure 1
Flowchart of study sample selection.

Ethical considerations

All patients provided written informed consent before undergoing CPX. The retrospective analysis of data was approved by the Committee on Ethics and Research of the institution.

Clinical assessment and body weight and height measurements

Before performing CPX, clinical history was taken, with emphasis on regularly used medications and cardiovascular risk factors, and physical examination was undertaken. Body weight and height of all individuals were measured. The prescribed medications were not suspended before CPX.

Body weight was measured with a Cardiomed scale, Welmy model, with 0.1-kg resolution. Height was measured with a Sanny stadiometer with 0.1-cm resolution.

Maximum cardiopulmonary exercise testing

The CPX was conducted in a specific room, with temperature ranging from 21°C to 24°C, and relative air humidity between 40% and 60%. The test was performed according to an individualized ramp protocol, aimed at 8-12-minute duration, on an LLCE, according to the Brazilian Society of Cardiology guidelines 1818. Meneghelo RS, Araújo CG, Stein R, Mastrocolla LE, Albuquerque PF, Serra SM, et al; Sociedade Brasileira de Cardiologia. III Guidelines of Sociedade Brasileira de Cardiologia on the exercise test. Arq Bras Cardiol. 2010;95(5 supl 1):1-26., in the presence of a qualified physician, at a laboratory properly equipped to manage occasional clinical events. Only four physicians performed all the tests, following a routine of well-defined procedures, especially regarding the stimulus to reach truly maximum exertion. The height of the saddle was individually adjusted to provide both an almost complete knee extension at the lowest pedal position, and a lower-hip 90-degree flexion at the highest pedal position. The pedaling frequency was kept between 65 and 75 rotations per minute.

During CPX, the individuals were monitored with a digital electrocardiograph (ErgoPC Elite, versions 3.2.1.5 or 3.3.4.3 or 3.3.6.2, Micromed, Brazil), and heart rate (HR) was measured on the ECG recording (leads CC5 or CM5) at the end of each minute. Expired gases were collected by use of a Prevent pneumotacograph (MedGraphics, USA) coupled to a mouthpiece, with concomitant nasal occlusion. The expired gases were measured and analyzed by using a VO2000 metabolic analyzer (MedGraphics, USA), daily calibrated before the first assessment and whenever necessary. The mean results of the expired gases were read every 10 seconds, and consolidated at every minute. The highest VO2 value obtained at a certain point of the CPX was considered the VO2max. Blood pressure was measured every minute on the right arm by using a manual sphygmomanometer.

The maximum intensity of the exercise, which is more easily assessed by using CPX - presence of anaerobic threshold and U-pattern curves of ventilatory equivalents -, was confirmed by maximum voluntary exhaustion (score 10 in the Borg scale ranging from 0 to 101919. Borg GA. Psychophysical bases of perceived exertion. Med Sci Sports Exerc. 1982;14(5):377-81.) represented by the incapacity to continue pedaling at the previously established frequency despite strong verbal encouragement. As already reported in a previous study2020. Balassiano DH, Araújo CG. Maximal heart rate: influence of sport practice during childhood and adolescence. Arq Bras Cardiol. 2013;100(4):333-8., the characterization of CPX as maximum was also confirmed by the impression of the physician in charge, and recorded on the CPX description. It is worth noting that CPX was neither interrupted nor considered maximum based exclusively on HR.

Equations to predict VO2max and maximum HR

The predicted values of VO2max for each patient, as a mere reference for comparison with the actually measured VO2max values, were obtained based on specific equations for men [60 - 0.55 x age (years)] and women [48 - 0.37 x age (years)]2121. Jones NL, Campbell EK, Edwards RH, Robertson DG. Clinical exercise testing. Philadelphia: WB Saunders; 1975..

The predicted values of maximum HR were obtained from the equation 208 - 0.7 x age2222. Duarte CV. Araujo CG. Cardiac vagal index does not explain age-independent maximal heart rate. Int J Sports Med. 2013;34(6):502-6., for patients of both sexes.

Equations to estimate VO2max

To assess the EE of VO2max, VO2max was initially estimated based on the modified American College of Sports Medicine (ACSM) equation1414. Lang PB, Latin RW, Berg KE, Mellion MB. The accuracy of the ACSM cycle ergometry equation. Med Sci Sports Exerc. 1992;24(2):272-6., in which VO2max is adjusted for body weight [mL.(kg.min)-1] as follows: (W x 11.4 + 260 + body weight x 3.5)/weight. In that equation, W is the maximum workload in watts, body weight is expressed in kg, and the constant 260 mL.min-1 represents the oxygen volume in mL and corresponds to the necessary energetic expenditure to pedal without any additional resistance [approximately 3.5 mL.(kg.min)-1 x mean body weight of the individuals studied by Lang et al.]1414. Lang PB, Latin RW, Berg KE, Mellion MB. The accuracy of the ACSM cycle ergometry equation. Med Sci Sports Exerc. 1992;24(2):272-6.. In addition, the last term in that equation corresponds to the energetic expenditure at rest. Following that line of thought, and in accordance with that adopted by the ACSM2323. American College of Sports Medicine. ACSM's guidelines for exercise testing and prescription. 7th ed. Philadelphia: Lippincott Williams & Wilkins; 2006., in our study, we subtracted 7 mL.(kg.min)-1 from the VO2max value measured [corresponding to 3.5 mL.(kg.min)-1 of VO2 at rest and 3.5 mL.(kg.min)-1 of VO2 expended to pedal without any load]. The result obtained was divided by the ratio between workloads (watts) and body weight (kg), originating the constant “k” for each participant. From the mean value of the constant “k”, we obtained the multiplying factor values of the workloads (watts)/body weight (kg) ratio for the equations for the general sample, men and women, respectively: a) general equation to estimate VO2max (equation C-GENERAL); b) specific equation to estimate VO2max in the male sex (equation C-MEN); and c) specific equation to estimate VO2max in the female sex (equation C-WOMEN).

Error of estimate of VO2max

The magnitude of the EE of VO2max expressed as a function of body weight was assessed based on the calculation of: 1) the difference between the measured and estimated values: (measured VO2max - estimated VO2max) in mL.(kg.min)-1; and the percentage error (E%): [(measured VO2max - estimated VO2max)/measured VO2max] x 100. The measured VO2max was obtained by collecting and analyzing expired gases, as previously detailed. A negative EE or E% value thus means that the estimated VO2max was higher than the measured VO2max, that is, the value calculated by using the equation overestimated the value measured.

Statistical analysis

The results were expressed as mean and standard deviation or as percentage, depending on the nature of the variable. The demographic characteristics and CPX results were compared between men and women by using non-paired t test or chi-square test. The ER and E% of the equations, when appropriate, were compared by using paired t test or ANOVA, when the comparison was performed between three or more groups. The measured VO2max value and that estimated based on the three equations of the study - C-GENERAL, C-MEN and C-WOMEN - were compared and analyzed by using linear regression and intraclass correlation. The statistical analyses were performed with the programs Prism 6 (GraphPad, USA) and SPSS 16 (SPSS, USA), adopting 5% as the significance level.

Results

Demographic and clinical characteristics of the sample

The sample was mostly formed by men (68.3%), with age ranging from 18 to 91 years, and 23.2% had a body mass index (BMI) ≥ 30 kg.m-2. Table 1 and 2 show other demographic and clinical data, as well as the prevalence of some risk factors for coronary artery disease, major morbidities and medications regularly used.

Table 1
Major demographic and morphofunctional characteristics of the sample (n = 1715)* * values expressed as mean ± standard deviation.
Table 2
Major clinical characteristics of the sample and regularly used medications (n = 1715)* * values expressed as N(%).

CPX data

The mean duration of CPX was 10 ± 2 minutes. The mean maximum HR for the set of individuals was 159 ± 25 bpm, corresponding to 92% of that predicted, being higher in patients not on beta-blockers (166 ± 20 bpm) (p < 0.01). Men achieved final workloads higher than women (172 ± 70 vs 111 ± 45 watts; p < 0.01), as well as greater VO2max values [29.4 ± 10.5 vs 24.2 ± 9.2 mL.(kg.min)-1; p < 0.01]. In the sample studied, the measured VO2max tended to be slightly lower than that predicted based on age and sex, corresponding to 96% and 82% of the value predicted by using the equations of Jones et al.2121. Jones NL, Campbell EK, Edwards RH, Robertson DG. Clinical exercise testing. Philadelphia: WB Saunders; 1975. for men and women, respectively. Table 3 shows the major CPX results.

Table 3
Major results of cardiopulmonary exercise test (n = 1715)* * values expressed as mean ± standard deviation.

Estimated VO2max values

Regarding estimated VO2max, the values obtained by using the modified ACSM equation were 29.8 ± 9.8 and 26.9 ± 8.9 mL.(kg.min)-1 for men and women, respectively, showing that the equation tends to overestimate VO2max. Both ER and E% differed between sexes (p < 0.01), with values of -0.4 ± 3.2 mL.(kg.min)-1 and -3.4 ± 13.4% for men, and -2.7 ± 3.5 mL.(kg.min)-1 and -14.7 ± 17.4% for women, respectively.

C-GENERAL equation

Determining the specific equation for the sample studied, with no distinction between sexes and with the same variables of the modified ACSM equation, the following C-GENERAL equation was obtained: (final workload/body weight x 10.483 + 7, where 7, as previously explained, corresponds to a simplification of the last two terms of that equation [the addition of oxygen uptake at rest (3.5 mL.(kg.min)-1and an identical oxygen uptake value to pedal with no resistance]. Applying the C-GENERAL equation, the estimated VO2max values obtained were 28.3 ± 8.9 mL.(kg.min)-1 and 24.9 ± 7.9 mL.(kg.min)-1 for men and women, respectively. Although EE and E% values remained similar in men [1.1 ± 3.3 mL.(kg.min)-1 and 1.2 ± 13.2%, respectively], a significant reduction in the EE of VO2max was observed in women [-0.7 ± 3.5 mL.(kg.min)-1], and E% was -6.3 ± 16.5% (p < 0.01).

C-MEN and C-WOMEN equations

Then the following sex-specific equations, C-MEN and C-WOMEN were obtained: (final workload/body weight) x 10.791 + 7 and (final workload/body weight) x 9.820 + 7, respectively. Using these equations, the estimated VO2max values were 28.9 ± 9.2 mL.(kg.min)-1 and 23.7 ± 7.4 mL.(kg.min)-1 for men and women, respectively. Errors of estimate were reduced in both sexes, but more expressively for women. For men, EE and E% were 0.5 ± 3.2 mL.(kg.min)-1 and -0.9 ± 13.4% (p < 0.01), respectively, while for women, they were reduced to 0.5 ± 3.6 mL.(kg.min)-1 and only -1.7 ± 16.2% (p < 0.01), respectively (Figure 2).

Figure 2
Percentage errors obtained from the comparison between measured VO2max and estimated VO2max by using the modified ACSM equations, and the C-GENERAL, C-MEN e C-WOMEN equations.

Figure 3 shows the standard EE and the association between the estimated and measured VO2max values for the general sample and for men and women, analyzed separately. It is worth noting the high intraclass correlation coefficients, with their respective confidence intervals (CI) obtained: C-GENERAL, 0.9703 (95%CI: 0.9674 - 0.9730); C-MEN, 0.9725 (95%CI: 0.9691 - 0.9755), and C-WOMEN, 0.9680 (95%CI: 0.9621 - 0.9729). The visual inspection of the distributions allowed characterizing the linear regressions as homoscedastic.

Figure 3
Correlation between measured VO2max values and those estimated by using the equations: a) C-GENERAL, b) C-MEN and c) C-WOMEN. SEE: standard error of estimate; ric: intraclass correlation coefficient.

Based on the application of the equations developed in the present study, the following EE and E% were obtained in the validation sample: C-GENERAL (n = 200) 0.5 ± 2.5 mL.(kg.min)-1 and 0.7 ± 9.1%; C-MEN (n = 135) 0.5 ± 2.5 mL.(kg.min)-1 and 1.0 ± 8.6%; and C-WOMEN (n = 65) 0.5 ± 2.0 mL.(kg.min)-1 and 0.5 ± 8.5%, respectively.

Discussion

The CPX is the most appropriate test to assess aerobic capacity. However, the use of the exercise test with neither collection nor analysis of expired gases is very common among us, even though accompanied by a significant margin of error 1515. Araújo CG, Herdy AH, Stein R. Maximum oxygen consumption measurement: valuable biological marker in health and in sickness. Arq Bras Cardiol. 2013;100(4):e51-3.. Therefore, it is important to develop specific equations to reduce that EE in exercise tests performed at hospitals and clinics.

Although previous studies with that same objective have been conducted2424. Artero EG, Jackson AS, Sui X, Lee DC, O'Connor DP, Lavie CJ, et al. Longitudinal algorithms to estimate cardiorespiratory fitness: associations with nonfatal cardiovascular disease and disease-specific mortality. J Am Coll Cardiol. 2014;63(21):2289-96.

25. Grant S, Corbett K, Amjad AM, Wilson J, Aitchison T. A comparison of methods of predicting maximum oxygen uptake. Br J Sports Med. 1995;29(3):147-52.

26. Harrison MH, Bruce DL, Brown GA, Cochrane LA. A comparison of some indirect methods for predicting maximal oxygen uptake. Aviat Space Environ Med. 1980;51(10):1128-33.
-2727. Peterson MJ, Pieper CF, Morey MC. Accuracy of VO2(max) prediction equations in older adults. Med Sci Sports Exerc. 2003;35(1):145-9., the use of small samples hinders the extrapolation of the results found. For example, Lang et al.1414. Lang PB, Latin RW, Berg KE, Mellion MB. The accuracy of the ACSM cycle ergometry equation. Med Sci Sports Exerc. 1992;24(2):272-6. and Latin et al.2828. Latin RW, Berg KE. The accuracy of the ACSM and a new cycle ergometry equation for young women. Med Sci Sports Exerc. 1994;26(5):642-6. have used the ACSM equation to estimate VO2max1313. American College of Sports Medicine. (ACSM). Guidelines for graded exercise testing and training. 3rd ed. Philadelphia: Lea & Febiger; 1986. p. 162-3. for 60 men and 60 women, respectively, and have found lower estimated VO2max values than the measured ones, for both sexes. On the other hand, Greiwe et al.2929. Greiwe JS, Kaminsky LA, Whaley MH, Dwyer GB. Evaluation of the ACSM submaximal ergometer test for estimating VO2max. Med Sci Sports Exerc. 1995;27(9):1315-20., applying that same equation to 15 men and 15 women with similar clinical profiles, have obtained overestimated VO2max values. In addition, the introduction by Lang et al.1414. Lang PB, Latin RW, Berg KE, Mellion MB. The accuracy of the ACSM cycle ergometry equation. Med Sci Sports Exerc. 1992;24(2):272-6. of the factor 260 mL.min-1, which corresponds to the energetic expenditure of pedaling without additional resistance, has produced estimated results more similar to measured VO2max results in their sample. In our study, however, the use of that modified ACSM equation maintained significant errors in the comparison between estimated and measured values. The discrepancy in the results described suggests significant errors when the equations are developed based on small samples.

In addition, the difference in EE between men and women using the same equation suggests that sex-specific equations should be developed. Storer et al.3030. Storer TW, Davis JA, Caiozzo VJ. Accurate prediction of VO2max in cycle ergometry. Med Sci Sports Exerc. 1990;22(5):704-12. have developed three equations of to estimate VO2max using the variables workload, body weight and age: one general for both sexes; one specific for men; and one specific for women. Those authors have reported a significant increase in the coefficient of determination when the variable ‘sex' was added to the linear regression model used to create the equations. However, when applied to 77 men and 30 women of the Brazilian population3131. Magrani P, Pompeu FA. Equations for predicting aerobic power (VO2) of young Brazilian adults. Arq Bras Cardiol. 2010;94(6):763-70., a trend to overestimate VO2max was observed in men, evidencing the need to develop specific equations for each population.

Recently, Almeida et al.3232. Almeida AE, Stefani CM, Nascimento JA, Almeida NM, Santos AC, Ribeiro JP, et al. An equation for the prediction of oxygen consumption in a Brazilian population. Arq Bras Cardiol. 2014;103(4):299-307. have conducted an important study with a large sample of Brazilians (3119 individuals), aimed at developing an equation to predict VO2max for treadmill exercise tests, based on age, sex, BMI and physical activity level. However, it is worth noting that, despite the importance of having VO2max reference data from equations developed for the Brazilian population, this does not contemplate the EE of VO2max when expired gases are not collected and analyzed during exercise testing. While the predicted VO2max is obtained based on pre-test clinical variables, such as age and sex, the estimated VO2max is calculated based on variables obtained during exercise testing, such as workload and test duration. To the best of our knowledge, there is no study on the Brazilian population with a large sample (more than 1000 cases) developing specific equations to estimate VO2max in exercise tests performed on a LLCE.

In reality, sample size and representability are extremely relevant. Neder et al.3333. Neder JA, Nery LE, Castelo A, Andreoni S, Lerario MC, Sachs A, et al. Prediction of metabolic and cardiopulmonary responses to maximum cycle ergometry: a randomised study. Eur Respir J. 1999;14(6):1304-13. have observed that individuals typically selected to participate in studies did not represent those most commonly referred for exercise testing, which could lead to selection biases. Thus, in our study, we chose not to exclude obese patients, individuals with cardiovascular or pulmonary diseases and/or individuals on regular use of medications that could influence the physiological responses to exercise, to guarantee a sample representing the individuals most commonly referred to clinical exercise testing laboratories. It is worth noting that despite that varied clinical profile, the VO2max predicted for age was relatively close to that actually measured, especially in men. Comparing the data obtained in our study with those reported by Herdy and Uhlendorf3434. Herdy AH, Uhlendorf D. Reference values for cardiopulmonary exercise testing for sedentary and active men and women. Arq Bras Cardiol. 2011;96(1):54-9. in the Brazilian Southern region, the VO2max values measured in men were similar to the reference values for sedentary individuals aged 55 to 64 years [30.0 ± 6.3 mL.(kg.min)-1] or active individuals aged 65 to 74 years [30.0 ± 6.1 mL.(kg.min)-1]. The VO2max values found for women were similar to the reference values of sedentary individuals aged 55 to 64 years [23.9 ± 4.2 mL.(kg.min)-1]3434. Herdy AH, Uhlendorf D. Reference values for cardiopulmonary exercise testing for sedentary and active men and women. Arq Bras Cardiol. 2011;96(1):54-9.. The most probable reason for that slight discrepancy is due to the fact that the study by Herdy and Uhlendorf3434. Herdy AH, Uhlendorf D. Reference values for cardiopulmonary exercise testing for sedentary and active men and women. Arq Bras Cardiol. 2011;96(1):54-9. used CPX on a treadmill, which might explain the tendency towards higher values for the same age group.

The strong points of our study are as follows: 1) to our knowledge, no other Brazilian study assessing equations for VO2max estimation was based on such a large number of individuals (over 1000); 2) the cycle ergometers and gas analyzers were periodically calibrated according to the specifications of their manufacturers; and 3) all original information of test reports was available in the digital format (data bank) and carefully reviewed to exclude those incomplete.

This study has limitations. All tests were performed following the ramp protocol. Thus, one cannot know if the equations for VO2max estimate here presented can be applied to exercise tests performed following other protocols.

Other factors, such as age, adiposity level, recent pattern or history of regular physical training, and use of certain medications, might contribute to the EE by influencing mechanical efficiency. This was a preliminary study to assess the influence of sex on the EE of VO2max. Other variables are being assessed, as already reported. Subsequent statistical analyses, such as multivariate regression, using the variables that evidenced influence on EE of VO2max can lead to the development of one single equation for VO2max estimate capable of effectively reducing EE.

Briefly, the present study contributed to current knowledge by proposing equations derived from a large sample of Brazilian adults, with clinical characteristics and profiles similar to those usually observed at clinical exercise testing laboratories. The equations are specific to the male and female sexes, thus contributing to reduce EE when VO2max measurement is not available.

Conclusion

Our study identified that the use of foreign equations (modified ACSM) induced an important EE when applied to a typical population of clinical exercise testing laboratories in Brazil. Thus, an equation was developed - C-GENERAL -, partially reducing EE. However, an analysis separated by sex identified the need to develop specific equations - C-MEN and C-WOMEN - that could further reduce, but not eliminate, EE. Thus, more accurate alternatives to VO2max estimate in exercise tests of lower limbs are presented to places with no condition to effectively perform CPX to measure VO2max.

  • Sources of Funding
    This study was partially funded by CNPq and FAPERJ.
  • Study Association
    This article is part of the MSc thesis submitted by Christina G. de Souza e Silva, from Instituto do Coração Edson Saad - Universidade Federal do Rio de Janeiro.

References

  • 1
    1. Barry VW, Baruth M, Beets MW, Durstine JL, Liu J, Blair SN. Fitness vs. fatness on all-cause mortality: a meta-analysis. Prog Cardiovasc Dis. 2014;56(4):382-90.
  • 2
    2. Kodama S, Saito K, Tanaka S, Maki M, Yachi Y, Asumi M, et al. Cardiorespiratory fitness as a quantitative predictor of all-cause mortality and cardiovascular events in healthy men and women: a meta-analysis. JAMA. 2009;301(19):2024-35.
  • 3
    3. Laukkanen JA, Rauramaa R, Salonen JT, Kurl S. The predictive value of cardiorespiratory fitness combined with coronary risk evaluation and the risk of cardiovascular and all-cause death. J Intern Med. 2007;262(2):263-72.
  • 4
    4. Myers J, Prakash M, Froelicher V, Do D, Partington S, Atwood JE. Exercise capacity and mortality among men referred for exercise testing. N Engl J Med. 2002;346(11):793-801.
  • 5
    5. Chang JA, Froelicher VF. Clinical and exercise test markers of prognosis in patients with stable coronary artery disease. Curr Probl Cardiol. 1994;19(9):533-87.
  • 6
    6. Pate RR, Pratt M, Blair SN, Haskell WL, Macera CA, Bouchard C, et al. Physical activity and public health. A recommendation from the Centers for Disease Control and Prevention and the American College of Sports Medicine. JAMA. 1995;273(5):402-7.
  • 7
    7. Kavanagh T, Mertens DJ, Hamm LF, Beyene J, Kennedy J, Corey P, et al. Peak oxygen intake and cardiac mortality in women referred for cardiac rehabilitation. J Am Coll Cardiol. 2003;42(12):2139-43.
  • 8
    8. Mitchell JH, Sproule BJ, Chapman CB. The physiological meaning of the maximal oxygen intake test. J Clin Invest. 1958;37(4):538-47.
  • 9
    9. Albouaini K, Egred M, Alahmar A, Wright DJ. Cardiopulmonary exercise testing and its application. Heart. 2007;93(10):1285-92.
  • 10
    Haskell WL, Lee IM, Pate RR, Powell KE, Blair SN, Franklin BA, et al. Physical activity and public health: updated recommendation for adults from the American College of Sports Medicine and the American Heart Association. Med Sci Sports Exerc. 2007;39(8):1423-34.
  • 11
    Guazzi M, Adams V, Conraads V, Halle M, Mezzani A, Vanhees L, et al. EACPR/AHA Joint Scientific Statement. Clinical recommendations for cardiopulmonary exercise testing data assessment in specific patient populations. Eur Heart J. 2012;33(23):2917-27.
  • 12
    Bruce RA, Kusumi F, Hosmer D. Maximal oxygen intake and nomographic assessment of functional aerobic impairment in cardiovascular disease. Am Heart J. 1973;85(4):546-62.
  • 13
    American College of Sports Medicine. (ACSM). Guidelines for graded exercise testing and training. 3rd ed. Philadelphia: Lea & Febiger; 1986. p. 162-3.
  • 14
    Lang PB, Latin RW, Berg KE, Mellion MB. The accuracy of the ACSM cycle ergometry equation. Med Sci Sports Exerc. 1992;24(2):272-6.
  • 15
    Araújo CG, Herdy AH, Stein R. Maximum oxygen consumption measurement: valuable biological marker in health and in sickness. Arq Bras Cardiol. 2013;100(4):e51-3.
  • 16
    Kavanagh T, Mertens DJ, Hamm LF, Beyene J, Kennedy J, Corey P, et al. Prediction of long-term prognosis in 12 169 men referred for cardiac rehabilitation. Circulation. 2002;106(6):666-71.
  • 17
    Jobson AS, Hopker JG, Korff T, Passfield L. Gross efficiency and cycling performance: a brief review. J Sci Cycling. 2012;1(1):3-8.
  • 18
    Meneghelo RS, Araújo CG, Stein R, Mastrocolla LE, Albuquerque PF, Serra SM, et al; Sociedade Brasileira de Cardiologia. III Guidelines of Sociedade Brasileira de Cardiologia on the exercise test. Arq Bras Cardiol. 2010;95(5 supl 1):1-26.
  • 19
    Borg GA. Psychophysical bases of perceived exertion. Med Sci Sports Exerc. 1982;14(5):377-81.
  • 20
    Balassiano DH, Araújo CG. Maximal heart rate: influence of sport practice during childhood and adolescence. Arq Bras Cardiol. 2013;100(4):333-8.
  • 21
    Jones NL, Campbell EK, Edwards RH, Robertson DG. Clinical exercise testing. Philadelphia: WB Saunders; 1975.
  • 22
    Duarte CV. Araujo CG. Cardiac vagal index does not explain age-independent maximal heart rate. Int J Sports Med. 2013;34(6):502-6.
  • 23
    American College of Sports Medicine. ACSM's guidelines for exercise testing and prescription. 7th ed. Philadelphia: Lippincott Williams & Wilkins; 2006.
  • 24
    Artero EG, Jackson AS, Sui X, Lee DC, O'Connor DP, Lavie CJ, et al. Longitudinal algorithms to estimate cardiorespiratory fitness: associations with nonfatal cardiovascular disease and disease-specific mortality. J Am Coll Cardiol. 2014;63(21):2289-96.
  • 25
    Grant S, Corbett K, Amjad AM, Wilson J, Aitchison T. A comparison of methods of predicting maximum oxygen uptake. Br J Sports Med. 1995;29(3):147-52.
  • 26
    Harrison MH, Bruce DL, Brown GA, Cochrane LA. A comparison of some indirect methods for predicting maximal oxygen uptake. Aviat Space Environ Med. 1980;51(10):1128-33.
  • 27
    Peterson MJ, Pieper CF, Morey MC. Accuracy of VO2(max) prediction equations in older adults. Med Sci Sports Exerc. 2003;35(1):145-9.
  • 28
    Latin RW, Berg KE. The accuracy of the ACSM and a new cycle ergometry equation for young women. Med Sci Sports Exerc. 1994;26(5):642-6.
  • 29
    Greiwe JS, Kaminsky LA, Whaley MH, Dwyer GB. Evaluation of the ACSM submaximal ergometer test for estimating VO2max. Med Sci Sports Exerc. 1995;27(9):1315-20.
  • 30
    Storer TW, Davis JA, Caiozzo VJ. Accurate prediction of VO2max in cycle ergometry. Med Sci Sports Exerc. 1990;22(5):704-12.
  • 31
    Magrani P, Pompeu FA. Equations for predicting aerobic power (VO2) of young Brazilian adults. Arq Bras Cardiol. 2010;94(6):763-70.
  • 32
    Almeida AE, Stefani CM, Nascimento JA, Almeida NM, Santos AC, Ribeiro JP, et al. An equation for the prediction of oxygen consumption in a Brazilian population. Arq Bras Cardiol. 2014;103(4):299-307.
  • 33
    Neder JA, Nery LE, Castelo A, Andreoni S, Lerario MC, Sachs A, et al. Prediction of metabolic and cardiopulmonary responses to maximum cycle ergometry: a randomised study. Eur Respir J. 1999;14(6):1304-13.
  • 34
    Herdy AH, Uhlendorf D. Reference values for cardiopulmonary exercise testing for sedentary and active men and women. Arq Bras Cardiol. 2011;96(1):54-9.

Publication Dates

  • Publication in this collection
    31 July 2015
  • Date of issue
    Oct 2015

History

  • Received
    29 Jan 2015
  • Reviewed
    04 May 2015
  • Accepted
    06 May 2015
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