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

Tuza, Fábio Augusto d´Alegria; de Sá, Paula Morisco; Castro, Hermano A.; Lopes, Agnaldo José; de Melo, Pedro Lopes

doi:10.1186/s12938-020-00836-6

Table 5 Correlation analysis among traditional, eRIC, and fractional-order parameters, and the spirometric results

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

	FEV₁ (L)	FEV₁ (%)	FVC (L)	FVC(%)	FEV₁/FVC	FEF (L)	FEF25–75 (%)	FEF25–75/CVF
Resistive
R₀	− 0.33 ns	− 0.35 < 0.05	− 0.13 ns	− 0.11 ns	− 0.46 < 0.009	− 0.29 ns	− 0.44 < 0.02	− 0.43 < 0.02
R_m	− 0.27 ns	− 0.27 ns	− 0.15 ns	− 0.12 ns	− 0.31 ns	− 0.30 ns	− 0.33 ns	− 0.29 ns
S	0.39 < 0.03	0.45 < 0.02	0.10 ns	0.12 ns	0.65 < 0.0001	0.22 ns	0.58 0.0005	0.62 0.0001
R₄	− 0.30 ns	− 0.31 ns	− 0.12 ns	− 0.08 ns	− 0.43 < 0.02	− 0.28 ns	− 0.42 < 0.02	− 0.40 < 0.03
R₁₂	− 0.29 ns	− 0.29 ns	− 0.16 ns	− 0.14 ns	− 0.32 ns	− 0.31 ns	− 0.35 < 0.05	− 0.30 ns
R₂₀	− 0.17 ns	− 0.13 ns	− 0.16 ns	− 0.10 ns	− 0.07 ns	− 0.31 ns	− 0.05 ns	− 0.43 < 0.02
R₄− R₂₀	− 0.32 ns	− 0.37 < 0.04	− 0.01 ns	− 0.01 ns	− 0.66 < 0.0001	− 0.09 ns	− 0.55 < 0.002	− 0.64 < 0.0001
Reactive
X_m	0.47 < 0.007	0.53 < 0.003	0.22 ns	0.24 ns	0.65 < 0.0001	0.24 ns	0.60 0.0002	0.62 0.0001
Fr	− 0.51 < 0.003	− 0.56 0.0008	− 0.25 ns	− 0.32 ns	− 0.63 0.0001	− 0.34 ns	− 0.66 < 0.0001	− 0.65 < 0.0001
C_dyn	0.31 ns	0.33 ns	0.25 ns	0.24 ns	0.24 ns	0.21 ns	0.35 ns	0.26 ns
Axt	− 0.43 < 0.02	− 0.49 < 0.005	− 0.21 ns	− 0.24 ns	− 0.57 0.0006	− 0.23 ns	− 0.52 < 0.003	− 0.52 < 0.003
Axi	− 0.44 < 0.02	− 0.49 < 0.005	− 0.20 ns	− 0.22 ns	− 0.61 0.0002	− 0.23 ns	− 0.54 < 0.002	− 0.55 < 0.002
Z₄	− 0.36 < 0.05	− 0.39 < 0.03	− 0.18 ns	− 0.16 ns	− 0.47 < 0.008	− 0.25 ns	− 0.44 < 0.02	− 0.42 < 0.02
eRIC
R	− 0.05 ns	0.008 ns	− 0.10 ns	− 0.02 ns	0.11 ns	− 0.26 ns	− 0.01 ns	0.08 ns
R_p	− 0.37 < 0.04	− 0.41 < 0.02	− 0.10 ns	− 0.09 ns	− 0.62 0.0001	− 0.17 ns	− 0.53 < 0.002	− 0.59 0.0001
R_t	− 0.31 ns	− 0.31 ns	− 0.14 ns	− 0.09 ns	− 0.41 < 0.03	− 0.28 ns	− 0.42 < 0.02	− 0.40 < 0.03
I	0.37 < 0.05	0.42 < 0.02	0.14 ns	0.21 ns	0.54 < 0.002	0.14 ns	0.48 < 0.006	0.53 < 0.002
C	0.24 ns	0.30 ns	0.13 ns	0.17 ns	0.28 ns	0.14 ns	0.37 < 0.04	0.33 ns
FrOr
G	− 0.38 < 0.0026	− 0.35 0.0058	− 0.30 < 0.02	− 0.32 < 0.02	− 0.14 ns	− 0.33 < 0.009	− 0.28 < 0.026	− 0.12 ns
H	0.12 ns	0.07 ns	− 0.11 ns	0.00 ns	0.16 ns	013 ns	0.15 ns	0.15 ns
η	− 0.40 < 0.002	− 0.28 < 0.03	− 0.32 < 0.02	− 0.19 ns	− 0.36 < 0.004	− 0.31 < 0.02	− 0.34 < 0.007	− 0.33 < 0.009

Significance was analyzed after Bonferroni correction. The significant associations are described in italic
FEV1: forced expiratory volume in the first second; FVC: forced vital capacity; FEF: forced expiratory flow between 25 and 75% of the FVC; %: percentage of the predicted values; R₀: intercept resistance; R_m: mean resistance; S: slope of the resistive values; R₄: resistance in 4 Hz; R₁₂: resistance in 12 Hz; R₂₀: resistance in 20 Hz; X_m: mean reactance; Fr: resonance frequency; C_dyn: dynamic compliance; Axt: area under the reactance curve using the approximation by a triangle; Axi: area under the reactance curve using the integral based on the trapezoidal rule; Z₄: impedance modulus in 4 Hz; eRIC: extended resistance–inertance–compliance model; FrOr: fractional order; R: central airway resistance; R_p: peripheral resistance; R_t: total resistance; I: pulmonary inertance; C: alveolar compliance; G: damping factor; H: elastance; η: hysteresivity coefficient

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ISSN: 1475-925X

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