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Table 4 Mean square errors (MSE) and relative distances (Rd) in the integer and fractional-order models studied in control individuals and patients with work-related asthma pre- and post-bronchodilator use

From: Combined forced oscillation and fractional-order modeling in patients with work-related asthma: a case–control study analyzing respiratory biomechanics and diagnostic accuracy

  MSEr (cmH2O/L/s) MSEx (cmH2O/L/s) MSEt (cmH2O/L/s) Rd (%)
Control
 eRIC 0.073 ± 0.055 0.051 ± 0.036 0.094 ± 0.058 3.873 ± 1.465
 FrOr 0.083 ± 0.131 0.055 ± 0.041 0.109 ± 0.130 3.900 ± 1.590
WRA pre
 eRIC 0.214 ± 0.892 0.237 ± 0.469 0.367 ± 0.991 3.363 ± 1.098
 FrOr 0.102 ± 0.249 0.114 ± 0.234 0.156 ± 0.340 3.026 ± 1.072*
WRA post
 eRIC 0.039 ± 0.037 0.117 ± 0.281 0.132 ± 0.280 4.327 ± 1.616
 FrOr 0.043 ± 0.049 0.088 ± 0.163 0.105 ± 0.166 5.509 ± 6.432
  1. eRIC: extended resistance–inertance–compliance model; FrOr: fractional order; MSEr: real mean square error value; MSEx: imaginary mean square error value; MSEt: total mean square error value; Rd: mean relative distance from the model and measured resistance and reactance; WRA: work-related asthma
  2. * Indicates a significantly small error in the evaluated models