Table 28. Models for fetal blood flow through the ductus venosus (mL/min vs. fetal mass in g for power law models, mL/min vs. gestational age in weeks for all other models).

Model	${\widehat{\mathit{\theta }}}_0$	${\widehat{\mathit{\theta }}}_1$	${\widehat{\mathit{\theta }}}_2$	${\widehat{\mathit{\theta }}}_3$	$\mathcal{l}\left(\widehat{\mathit{\theta }}\right)$	AIC
Linear Growth	1.0214	—	—	—	-1578.25	3158.5
Quadratic Growth	-0.41055	0.046294	—	—	-1330.9	2665.8
Cubic Growth	0.39477	-0.0095095	9.2087×10−4	—	-1327.59	2661.18
Gompertz	1.8920	0.098249	0.0064374	—	-1326.87	2659.75
Logistic	2072.9	0.081565	82.890	—	-1327.09	2660.18
Power Law	0.14986	0.72500	—	—	-1347.34	2698.68
Luecke Power Law	180.87	-1.2763	0.13957	—	-1335.16	2676.32

For each model considered, the maximum likelihood parameter estimates ($\widehat{\theta }$), log-likelihood ($\mathcal{l}\left(\widehat{\theta }\right)$), and AIC are provided. The row describing the selected model is shown in boldface.