Table 3.

Parameters of respiratory response functions

	b1	b2	b3	b4	b5	b6	β
#1	12.9	2,25	0.628	0.0784	2.19	4.93	−6.9×10−5
#2	6.55	2.13	0.925	0.0358	2.30	4.69	1.4×10−4
#3	0.682	2.12	1.56	0.00266	3.73	4.40	−8.9×10−5
#4	1.28	2.22	1.68	0.00496	3.23	4.22	−1.0×10−4
#5	0.468	2.10	1.52	0.00184	3.87	4.51	−1.7×10−4
#6	1.84	2.00	1.65	0.00619	3.03	4.38	−4.4×10−4
fit of mean function (MSE=3.5×10−4)	2.50	1.59	1.48	0.0035	3.50	4.38	0.0
Birn et. al.	0.6/0.5618	2.1	1.6	0.0023/0.5618	3.54	4.25	0.0

Note: The obtained respiratory response function was parameterized as $h_R\left(t\right)=h_R^{\left(0\right)}\left(t\right)+\beta \frac{d}{dt}{h}_R^{\left(0\right)}\left(t\right)$ where $h_R^{\left(0\right)}\left(t\right)=b_1{t}^{b_2}{e}^{-\frac{t}{b_3}}-b_4{t}^{b_5}{e}^{-\frac{t}{b_6}}$. The function h_R(t) was scaled such that var(h_R(t)) = 1.