Table 15. Maternal kidney blood flow models (flow rate in L/h vs. maternal mass in kg for power law models, flow rate in L/h 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	59.979	0.41969	—	—	-944.39	1892.78
Quadratic	54.042	2.6204	-0.065712	—	-894.31	1794.63
Cubic	53.248	3.6447	-0.15357	0.0016968	-891.88	1791.76
Modified Gompertz	9.6979	2.0563	1.8668	43.402	-901.80	1811.59
Modified Logistic	38.466	1.6729	0.015416	34.115	-901.80	1811.59
Power Law	1.8508	0.85156	—	—	-950.55	1905.09
Luecke Power Law	4.9856×10−5	5.8656	-0.59716	—	-948.88	1903.76

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.