2.6 Plant Physiology Fitting Functions
This opx, Plant Physiology Fitting Functions will add five fitting functions for plant physiology to Origin automatically.
BoxLucas1ModP3
Function
\[y=y_0+a(1-b^x)\]
Brief Description
a parameterization of Box Lucas Model with 3 parameters
Sample Curve
Parameters
Number: 3
Names: a, b, y0
Meanings: a = amplitude, b = base, y0 = offset
Lower Bounds: none
Upper Bounds: none
Script Access
nlf_BoxLucas1ModP3(x,a,b,y0)
Function File
fitfunc\BoxLucas1ModP3.fdf
Category
Exponential
BoxLucas1P3
Function
\[y=y_0+a(1-e^{-bx})\]
Brief Description
Box Lucas Model with 3 parameters
Sample Curve
Parameters
Number: 3
Names: a, b, y0
Meanings: a = amplitude, b = rate constant, y0 = offset
Lower Bounds: none
Upper Bounds: none
Script Access
nlf_BoxLucas1P3(x,a,b,y0)
Function File
fitfunc\BoxLucas1P3.fdf
Category
Exponential
ExpDec2Mod
Function
\[y=A_1(1-e^{-k_1x})+A_2(1-e^{-k_2x})\]
Brief Description
Double, four-parameter exponential decay function.
Sample Curve
Parameters
Number: 4
Names: A1, k1, A2, k2
Meanings: A1 = amplitude, k1 = rate constant, A2 = amplitude, k2 = rate constant
Lower Bounds: 0<k1,k2
Upper Bounds: none
Derived Parameters
Individual decay constant:
t1=1/k1
t2=1/k2
Script Access
nlf_ExpDec2Mod(x,A1,A2,k1,k2)
Function File
fitfunc\ExpDec2Mod.fdf
Category
Exponential
NonRectHyperbola
Function
\[y=\frac{1}{2\theta}\left[ {\alpha}x+y_m-\sqrt{({\alpha}x+y_m)^2-4{\alpha}{\theta}y_mx } \right]-y_0\]
Brief Description
Non-rectangular hyperbola
Sample Curve
Parameters
Number: 4
Names: \(\alpha\), \(\theta\), \(y_m\), \(y_0\)
Meanings: \(\alpha\) = initial slope, \(\theta\) = convexity factor, \(y_m\) = asymptotic value, \(y_0\) = offset
Lower Bounds: 0 < \(\theta\)
Upper Bounds: \(\theta\) < 1
Derived Parameters
light compensation point \(x_c = \frac{y_0({\theta}y_0-y_m)}{\alpha(y_0-y_m)}\)
light saturation estimate \(x_s = y_m/\alpha\)
Script Access
nlf_NonRectHyperbola(x,theta,alpha,ym,y0)
Function File
fitfunc\NonRectHyperbola.fdf
Category
Hyperbola
RLC
Function
\[P=P_s(1-e^{{-\alpha}E_d/P_s})e^{-{\beta}E_d/P_s}\]
Brief Description
Rapid light curve fitting model
Sample Curve
Parameters
Number: 3
Names: \(P_s\), \(\alpha\), \(\beta\)
Meanings: \(P_s\) = Scale Factor, \(\alpha\) = Initial Slope, \(\beta\) = RLC Slope
Lower Bounds: 0 <= \(\alpha\), \(\beta\)
Upper Bounds: none
Derived Parameters
\[rETR_{max}=\left\{\begin{matrix} P_s\frac{\alpha }{\alpha +\beta }\left ( \frac{\beta }{\alpha +\beta} \right )^{\frac{\beta }{\alpha }} \quad \beta \neq 0\\ P_s \qquad\qquad\qquad\qquad\beta =0 \end{matrix}\right.\]
\(E_k=\left\{\begin{matrix}
\frac{P_s}{\alpha +\beta }\left ( \frac{\beta }{\alpha +\beta} \right )^{\frac{\beta }{\alpha }} \quad \beta \neq 0\\
\frac{P_s}{\alpha} \qquad\qquad\qquad\qquad\beta =0
\end{matrix}\right.\)
Script Access
nlf_RLC(Ed,Ps,alpha,beta)
Function File
fitfunc\RLC.fdf
Category
Plant Physiology