Table 3:

Fitted equations for the realistic breathing patterns (MB and NB).

(a) Mouth Breathing				(b) Nose Breathing
Fourier Series with 8 Terms $Q=a_0+\sum _{i=1}^8{a}_i\text{cos}(iwx)+b_i\text{sin}(iwx)$				Sum of Sines with 7 Terms $Q=\sum _{i=1}^7{a}_i\text{sin}\left(b_{i}x+c_i\right)$
i	ai	bi		i	ai	bi	ci
0	−1.462	N/A		1	263.7	0.6369	3.015
1	19.55	60.38		2	330.7	0.1254	−3.727
2	−10.90	−0.9638		3	73.19	4.86	−0.7755
3	−1.6	7.435		4	48.58	7.822	−0.7588
4	−2.737	1.096		5	16.06	13.33	0.03013
5	−2.057	−0.4919		6	253.6	2.011	−0.4039
6	−0.4734	0.7077		7	43.69	10.85	−1.085
7	−0.4042	−0.8452
8	0.08115	0.6936
W=1.561