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Updated: Feb 27, 2026

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Published on: June 27, 2025
Mathematical Modeling and Expression of Heart Rate Deflection Point using Heart Rate and Oxygen Consumption
Kayla M Baker1, David H Fukuda1, David D Church1
1Department of Educational and Human Sciences, University of Central Florida, Orlando, FL, USA.
Abstract:
Heart rate deflection point (HRDP) can be determined through different mathematical-modeling procedures, such as bi-segmental linear regression (2SEG) or maximal distance model (Dmax). The purpose was to compare heart rate (HR) and oxygen consumption (VO2) at HRDP when using 2SEG and Dmax, and to examine their relationships with respiratory compensation point (RCP) and running performance. Nineteen participants completed a graded exercise test (GXT), to determine HRDP and RCP, and a 5km treadmill time trial (5Ktime). No differences were found in HR or VO2 when comparing HRDP2SEG, HRDPDmax, and RCP. Strong correlations were found between HRDP2SEG, HRDPDmax, and RCP when using HR and VO2. No relationships were found between 5Ktime and HR at HRDP or RCP; however, strong relationships were found with VO2. While 2SEG and Dmax may be interchangeable in determining HRDP, VO2 at HRDP and RCP yielded stronger relationships to 5Ktime than HR. Therefore, VO2 at HRDP may be a better predictor of running performance than HR.
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