Table 2.
a1 | a2 | a3 | a4 | a5 | a6 | α | |
---|---|---|---|---|---|---|---|
#1 | 0.0984 (0.641) | 2.02 (2.20) | 2.81 (1.88) | 0.0584 (0.682) | 13.5 (33.2) | 16.2 (14.3) | 21.8 (3.59) |
#2 | 0.000949 (0.218) | 4.47 (4.37) | 1.89 (1.14) | 0.00917 (1.50) | 14.8 (42.0) | 12.7 (11.1) | 73.4 (0.303) |
#3 | 0.00121 (0.255) | 4.91 (4.47) | 1.53 (1.07) | 0.0183 (1.99) | 13.4 (22.7) | 13.0 (9.82) | 55.4 (0.241) |
#4 | 0.00300 (0.564) | 3.69 (3.64) | 2.21 (1.19) | 0.0115 (1.22) | 16.7 (56.3) | 11.4 (11.4) | 66.3 (0.323) |
#5 | 0.000374 (0.256) | 4.34 (4.27) | 1.94 (1.14) | 0.00333 (1.51) | 15.9 (44.0) | 12.5 (11.2) | 219 (0.304) |
#6 | 0.000761 (0.362) | 4.58 (4.11) | 1.62 (1.12) | 0.00876 (2.04) | 14.5 (23.6) | 12.8 (9.69) | 130 (0.252) |
fit of mean function (MSE=6×10−3) | 0.667 | 2.97 | 1.53 | 1.83 | 32.5 | 10.4 | 0.336 |
Chang et.al. | 0.6/1.0167 | 2.7 | 1.6 | 2.128/1.0167 | 18.0 | 12.0 | 0.0 |
Note: The obtained cardiac response function was parameterized as where . The function hc(t) was scaled such that var(hc(t)) = 1. We have also calculated approximations to the cardiac response function where the coefficient for α is smaller such that the approximate cardiac response function (with small α coefficient) is similar to the exact cardiac response function for most time points (t< 30 s). The numbers in parenthesis give coefficients of approximate wave forms with a small α coefficient. The mean squared error (MSE) between the approximate cardiac response function and the exact cardiac response function (which is the solution of the optimization problem) is less than 7×10−3.