Modeling and Multivariate Methods - SAS

250 Performing Nonlinear Regression Chapter 9
Nonlinear Fitting with Fit Curve
Table 9.1 Fit Curve Model Formulas (Continued)
Model
Gaussian Peak
Formula
1
aExp
x – b
–------------ 2
2
c
a = Peak Value
b = Critical Point
c = Growth Rate
Lorentzian Peak
ab
-----------------------------
2
( x – c) 2 + b 2
a = Peak Value
b = Growth Rate
c = Critical Point
One Compartment Oral Dose
abc
c
---------- (
– b
Exp (– b x) – Exp( – cx)
)
a = Area Under Curve
b = Elimination Rate
c = Absorption Rate
Two Compartment IV Bolus Dose
a
α
------------ (( – β
α – b )Exp(– αx) – ( β – b)Exp( – βx)
)
1
α = -- ( b + c+ d + ( b + c + d) 2
2 – 4bd )
1
β = -- ( b + c+
d–
( b + c+
d) 2
2 – 4bd )
a = Initial Concentration
b = Transfer Rate In
c = Transfer Rate Out
d = Elimination Rate
Michaelis Menten
ax
----------
b + x
a = Max Reaction Rate
b = Inverse Affinity