28.1.49 ExpAssocDelay2

Function

y=\left\{\begin{matrix}
Yb \qquad\qquad \qquad \qquad\qquad \qquad \qquad\qquad \qquad\qquad \quad \quad \quad\quad x<TD_{1}\\ 
Yb+A_{1}\left ( 1-e^{-\frac {(x-TD_{1})}{Tau_{1}}} \right ) \qquad\qquad \quad \quad \quad \quad \quad \quad\quad TD_{1}\leq x<TD_{2}\\ 
Yb+A_{1}\left ( 1-e^{-\frac {(x-TD_{1})}{Tau_{1}}}\right )+A_{2}\left ( 1-e^{-\frac {(x-TD_{2})}{Tau_{2}}}\right )  \qquad\qquad x\geq TD_{2}
\end{matrix}\right.

Brief Description

Biphasic exponential association equation with plateau before exponential begins.

Sample Curve

ExpAssocDelay2 FitFunc.png

Parameters

Number: 7

Names: TD1,TD2,Yb,A1,A2,Tau1,Tau2

Meanings: TD1 = First time offset: x value at which 1st exponential begins, TD2 = Second time offset: x value at which 2nd exponential begins, Yb = Baseline: y value at which exponential begins, A1 = First amplitude: change in response for 1st exponential, A2 = Second amplitude: change in response for 2nd exponential, Tau1 = First time constant, Tau2 = Second time constant

Lower Bounds: none

Upper Bounds: none

Script Access

nlf_ExpAssocDelay2(x,TD1,TD2,Yb,A1,A2,Tau1,Tau2)

Function File

ExpAssocDelay2.FDF

Category

Exponential