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ORIGINAL RESEARCH article

Front. Physiol.

Sec. Exercise Physiology

Entropy as a Marker of Physiological Transition During Pediatric Cardiopulmonary Exercise Testing

Provisionally accepted
Kaleigh  O'HaraKaleigh O'Hara1*Donald  E BrownDonald E Brown1Dan  M CooperDan M Cooper2Annamarie  StehliAnnamarie Stehli2Shlomit  Radom AizikShlomit Radom Aizik2Natalie  KuppermanNatalie Kupperman1
  • 1University of Virginia, Charlottesville, United States
  • 2University of California Irvine, Irvine, United States

The final, formatted version of the article will be published soon.

This research analyzed the sample entropy (SampEn) of breath-by-breath cardiopulmonary exercise testing (CPET) data from 170 healthy pediatric participants (85 males) 8 to 18-years-old, using a Bayesian statistics approach. SampEn measures the complexity of time series data, providing quantitative insight into the predictability of breathing patterns in pediatric participants. To address non-stationarity, signals were differenced prior to SampEn calculation. In addition to sex and age group comparisons, we examined SampEn before and after the midpoint of each participant's CPET to assess how SampEn changes as exercise intensity increases. We corroborated previous findings that SampEn decreases in the later half of CPET for healthy pediatric participants for oxygen uptake ($\dot{V}O_2$), carbon dioxide output ($\dot{V}CO_2$), ventilation ($\dot{V}E$), and heart rate ($HR$). Females tended to have higher SampEn than their male counterparts, with a statistically significant difference between the sexes in older participants for $\dot{V}O_2$, $\dot{V}CO_2$, $\dot{V}E$, $HR$, and respiratory rate ($RR$). Age-related findings included: significantly higher SampEn in younger males compared to older males for $\dot{V}O_2$ and $\dot{V}E$ and older female participants had a higher SampEn in older females compared to younger females for HR. These findings support SampEn as a sensitive, non-invasive marker of physiological transition during pediatric CPET, with potential applications in exercise physiology research and clinical assessment.

Keywords: entropy, Pediatrics, Cardiopulmonary exercise testing, Breath-by-breath, bayesian statistics

Received: 03 Sep 2025; Accepted: 28 Oct 2025.

Copyright: © 2025 O'Hara, Brown, Cooper, Stehli, Radom Aizik and Kupperman. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Kaleigh O'Hara, ear3cg@virginia.edu

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