Journal of Human Sport and Exercise

A new approach for the determination of anaerobic threshold: Methodological survey on the modified Dmax method

Marefat Siahkouhian, Shabnam Azizan, Babak Nakhostin Roohi



A wide variety of diagnostic techniques can be found in the literature for anaerobic threshold (AT) assessment. The aim of this study was to investigate if the heart rate (HR) at the modified Dmax method (Mod-Dmax) using parallel straight line slope (PSLS) mathematical model and the Narita target heart rate equation was comparable with the HR measured at the AT by the continuous respiratory gas measurements in healthy young girls. Eight (age 19.29±1.70 years) healthy young girls performed an exhaustive treadmill exercise test for determination of the HR at Mod-Dmax using PSLS model and Narita equation. The AT of the participants was also calculated by the continuous respiratory gas measurements according to the Craig method. There was no significant difference between the HR determined at the Mod-Dmax method and the HR measured at the AT by the continuous respiratory gas measurements (167±9.22 vs. 165.25±6.32 b/min). Bland and Altman plots revealed a good agreement between the determined HR at Mod-Dmax and values of the HR measured at the AT by the continuous respiratory gas measurements (95% CI =−20 to+22.8 b/min). According to the results, the Mod-Dmax using PSLS model and the Narita equation during the exhaustive treadmill exercise test is an accurate and reliable noninvasive alternative to the cumbersome, expensive, and time-consuming invasive methods. Therefore, the Mod-Dmax method can be used for the determination of AT in healthy young girls.


PSLS mathematical model; Narita equation; Heart rate deflection point; HRDP


AUNOLA S, RUSKO H. Does anaerobic threshold correlate with maximal lactate steady-state? J Sports Sci. 1992; 10(4):309-323.

BENTLY DJ, MCNAUGHTON LR, THOMPSON D, VLECK VE, BATTERHAM AM. Peak power output, the lactate threshold, and time trial performance in cyclists. Med Sci Sports Exerc. 2001; 33(12):2077.

BINDER RK, WONISCH M, CORRA U, COHEN-SOLAL A, VANHEES L, SANER H, et al. Methodological approach to the first and second lactate threshold in incremental cardiopulmonary exercise testing. Eur J Cardiovas Prev Reh. 2008; 15(6):726.

BODNER ME, RHODES EC. A review of the concept of the heart rate deflection point. Sports Med. 2000; 30(1):31-46.

BROOKS GA. Intra-and extra-cellular lactate shuttles. Med Sci Sports Exerc. 2000; 32(4):790.

CHENG B, KUIPERS H, SNYDER AC, KEIZER HA, JEUKENDRUP A, HESSELINK M. A new approach for the determination of ventilatory and lactate thresholds. In J Sports Med. 1992; 13: 518-518.

CONCONI F, FERRARI M, ZIGLIO PG, DROGHETTI P, CODECA L. Determination of the anaerobic threshold by a noninvasive field test in runners. J Appl Physiol. 1982; 52(4):869.

Craig N, Walsh C, MARTIN DT, WOOLFORD S, BOURDON P, STANEF T, et al. Protocols for the physiological assessment of high-performance track, road and mountain cyclists. Physiological Tests for Elite Athletes/Australian Sports Commission. Champaign (IL): Human Kinetics 2000: 258-77.

ERDOGAN A, CETIN C, KARATOSUN H, BAYDAR ML. Non-invasive Indices for the Estimation of the Anaerobic Threshold of Oarsmen. J Int Med Res. 2010; 38(3):901-915.

FELL JW. The modified D-max is a valid lactate threshold measurement in veteran cyclists. J Sci Med Sport. 2008; 11(5):460-463.

FOLKE M. Estimation of the lactate threshold using an electro acoustic sensor system analysing the respiratory air. Med Bioll Eng Comp. 2008; 46(9):939-942.

GHOSH AK. Review article-Anaerobic Threshold: Its Concept and Role in Endurance Sport. Mala J Medl Sci. 2004; 11(1):24-36.

GRAZZI G, MAZZONI G, CASONI I, ULIARI S, COLLINI G, HEIDE L, et al. Identification of a [latin capital V with dot above] o2 Deflection Point Coinciding With the Heart Rate Deflection Point and Ventilatory Threshold in Cycling. J Stre Cond Res. 2008; 22(4):1116.

Kara M, Gȍkbel H, Bediz C, Ergene N, Üçok K, Uysal H. Determination of the heart rate deflection point by the Dmax method. J Sports Med Phy Fit. 1996; 36(1):31-34.

KARATZANOS E, PARADISIS G, ZACHAROGIANNIS E, TZIORTZIS S, NANAS S. Assessment of ventilatory threshold using near-infrared spectroscopy on the gastrocnemius muscle during treadmill running. Int J Indus Ergono. 2010; 40(2):206-211.

MEYER T, LUCIA A, EARNEST CP, KINDERMANN W. A conceptual framework for performance diagnosis and training prescription from submaximal gas exchange parameters-theory and application. Int J Sports Med. 2005; 26(1):38.

Narita K, Sakamoto S, Mizushige K, Senda S, Matsuo H. Development and evaluation of a new target heart rate formula for the adequate exercise training level in healthy subjects. J Cardiol. 1999; 33(5):265.

PEINADO AB, BENITO PJ, DIAZ V, GONZALEZ C, ZAGICO AG, ALVAREZ M, et al. Discriminant analysis of the speciality of elite cyclists. J Hum Sport Exerc. 2011; 6(3):480-486.

POKAN R, HOFMANN P, VON DUVILLARD SP, BEAUFORT F, SMEKAL G, GASSER R, et al. The heart rate performance curve and left ventricular function during exercise in patients after myocardial infarction. Med Sci Sports Exerc. 1998; 30(10):1475.

SHYAMAL K, JARNAIL S, JASPAL SS. Anthropometric and physiological characteristics on Indian inter-university volleyball players. J Hum Sport Exerc. 2010; 5(3):307-321.

Siahkouhian M. A new mathematical model for determination of heart rate deflection point. Int J Fitness. 2007; 2(3):11-16.

SURIANO R, VERCRUYSSEN F, BISHOP D, BRISSWALTER J. Variable power output during cycling improves subsequent treadmill run time to exhaustion. J Sci Med Sport. 2007; 10(4):244-251.

VERGES S, FLORE P, FAVRE-JUVIN A. Blood lactate concentration/heart rate relationship: laboratory running test vs. field roller skiing test. Int J Sports Med. 2003; 24(6):446-451.

WONISCH M, HOFMANN P, FRUHWALD FM, HOEDL R, SCHWABERGER G, POKAN R, et al. Effect of 1-selective adrenergic blockade on maximal blood lactate steady state in healthy men. European journal of applied physiology. 2002; 87(1):66-71.


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