Table 1.

Quantitative, external–internal volumetric relationship and quantitative descriptors of breathing pattern. The maximum torso volume change (TVC) and lung air volume change (AVC) are in close agreement. The volume descriptor is the volume ratio: (tVC/TVC)^Max (as defined in equation (8)), while the height descriptors are the maximum height variation at five anatomical sites (as shown in figure 1), and the height ratio ${\left(\overline{H_{\text{tho}}}/\overline{H_{\text{abd}}}\right)}^{\text{Max}}$ (as defined in equation (9)).

Patient	Gender	Ext–int volumetric relationship Max volume changes (cm3)			Volume and height descriptors of breathing pattern
					Volume ratio (tVC/TVC)Max	Maximum height variation (mm)					Height ratio ${\left(\overline{H_{\text{tho}}}/\overline{H_{\text{abd}}}\right)}^{\text{Max}}$b
		TVC Max	AVCMax	Δ/Avg a		ΔH1	ΔH2	ΔH3	ΔH4	ΔH5
1	M	506.6	559.3	−9.9%	0.100	0.5	1.5	7.9	8.8	6.4	0.087
2	M	619.2	637.8	−3.0%	0.199	3.9	1.9	8.8	12.7	7.8	0.198
3	M	694.0	724.5	−4.3%	0.314	1.9	2.0	6.4	12.2	5.9	0.159
4	F	322.5	287.9	11.3%	0.089	1.9	1.4	4.4	8.8	4.9	0.182
5	F	530.8	505.7	4.8%	0.103	1.4	1.5	8.8	7.5	8.8	0.116
6	M	500.2	485.4	3.0%	0.027	1.9	0.5	7.8	8.8	5.9	0.107
7	M	477.0	514.8	−7.6%	0.083	1.5	1.0	9.8	8.8	5.8	0.102
8	F	345.2	384.5	−10.8%	0.167	1.5	1.4	5.4	4.9	3.4	0.212
9	M	1742.5	1655.2	5.1%	0.175	4.4	3.0	15.6	19.5	15.1	0.147
10	F	374.2	388.6	−3.8%	0.140	1.4	1.5	7.4	7.8	4.9	0.144
11	M	558.9	638.6	−13.3%	0.062	1.0	1.5	8.3	8.3	5.9	0.111
12	M	468.6	487.1	−3.9%	0.458	2.9	2.5	3.0	7.8	2.9	0.394
13	M	467.7	452.8	3.2%	0.161	2.0	1.0	5.8	7.8	4.4	0.167
14	M	257.2	282.1	−9.2%	0.231	1.0	0.5	2.9	5.4	2.9	0.134
Average		561.8	571.7	−2.7%	0.16	1.9	1.5	7.3	9.2	6.1	0.16
St. Dev.		359.4	336.9	7.3%	0.11	1.1	0.7	3.2	3.6	3.1	0.08

^aIn the relative difference (Δ/Avg), Δ = TVC − AVC and Avg = (TVC + AVC)/2.

^bIn the height ratio $\left(\overline{H_{\text{tho}}}/\overline{H_{\text{abd}}}\right)$, $\overline{H_{\text{tho}}}=\left(\Delta H_1+\Delta H_2\right)/2$ and $\overline{H_{\text{abd}}}=\left(\Delta H_3+\Delta H_4+\Delta H_5\right)/3$.