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A study on nonlinear estimation of submaximal effort tolerance based on the generalized MET concept and the 6MWT in pulmonary rehabilitation

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Listed:
  • Jan Szczegielniak
  • Krzysztof J Latawiec
  • Jacek Łuniewski
  • Rafał Stanisławski
  • Katarzyna Bogacz
  • Marcin Krajczy
  • Marek Rydel

Abstract

Background: The six-minute walk test (6MWT) is considered to be a simple and inexpensive tool for the assessment of functional tolerance of submaximal effort. The aim of this work was 1) to background the nonlinear nature of the energy expenditure process due to physical activity, 2) to compare the results/scores of the submaximal treadmill exercise test and those of 6MWT in pulmonary patients and 3) to develop nonlinear mathematical models relating the two. Methods: The study group included patients with the COPD. All patients were subjected to a submaximal exercise test and a 6MWT. To develop an optimal mathematical solution and compare the results of the exercise test and the 6MWT, the least squares and genetic algorithms were employed to estimate parameters of polynomial expansion and piecewise linear models. Results: Mathematical analysis enabled to construct nonlinear models for estimating the MET result of submaximal exercise test based on average walk velocity (or distance) in the 6MWT. Conclusions: Submaximal effort tolerance in COPD patients can be effectively estimated from new, rehabilitation-oriented, nonlinear models based on the generalized MET concept and the 6MWT.

Suggested Citation

  • Jan Szczegielniak & Krzysztof J Latawiec & Jacek Łuniewski & Rafał Stanisławski & Katarzyna Bogacz & Marcin Krajczy & Marek Rydel, 2018. "A study on nonlinear estimation of submaximal effort tolerance based on the generalized MET concept and the 6MWT in pulmonary rehabilitation," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-18, February.
    • Handle: RePEc:plo:pone00:0191875
    DOI: 10.1371/journal.pone.0191875
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    References listed on IDEAS

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    1. Toriello, Alejandro & Vielma, Juan Pablo, 2012. "Fitting piecewise linear continuous functions," European Journal of Operational Research, Elsevier, vol. 219(1), pages 86-95.
    2. J P Stellmann & A Neuhaus & N Götze & S Briken & C Lederer & M Schimpl & C Heesen & M Daumer, 2015. "Ecological Validity of Walking Capacity Tests in Multiple Sclerosis," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-11, April.
    3. Zhang, Yongli & Yang, Yuhong, 2015. "Cross-validation for selecting a model selection procedure," Journal of Econometrics, Elsevier, vol. 187(1), pages 95-112.
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    Cited by:

    1. Sebastian Rutkowski & Katarzyna Bogacz & Oliver Czech & Anna Rutkowska & Jan Szczegielniak, 2022. "Effectiveness of an Inpatient Virtual Reality-Based Pulmonary Rehabilitation Program among COVID-19 Patients on Symptoms of Anxiety, Depression and Quality of Life: Preliminary Results from a Randomiz," IJERPH, MDPI, vol. 19(24), pages 1-12, December.
    2. Jan Szczegielniak & Anna Szczegielniak & Jacek Łuniewski & Katarzyna Bogacz, 2022. "Proprietary Model of Qualification for In-Hospital Rehabilitation after COVID-19," IJERPH, MDPI, vol. 19(16), pages 1-12, August.

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