32.1.84 ExpDecayDelay1

1 Function
2 Brief Description
3 Sample Curve
4 Parameters
5 Derived Parameters
6 Script Access
7 Function File
8 Category

Function

\[y = \begin{cases}y_0 & (x < TD) \\[1.2em]\text{Plateau} + (y_0 - \text{Plateau}) e^{-\frac{(x - TD)}{\tau}} & (x \ge TD)\end{cases} \]

Brief Description

Plateau followed by one phase decay.

Sample Curve

Parameters

Number: 4

Names: TD, y0, Plateau, Tau

Meanings: TD=Time offset: x value at which exponential begins, y0=Baseline value before any decay begins, Plateau=Horizontal asymptote, Tau=Time constant

Lower Bounds: Tau>0

Upper Bounds: none

Derived Parameters

k=1.0/Tau

HalfLife=ln(2)*Tau

Span=y0-Plateau

Script Access

nlf_ExpDecayDelay1(x,TD,y0,Plateau,Tau)

Function File

ExpDecayDelay1.fdf