32.1.37 CompetitiveBinding

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

Function

\(y = Q \left( \frac{K_4 \text{Diff}}{K_F K_S} + (K_4 - K_F) \frac{e^{-K_F x}}{K_F} - (K_4 - K_S) \frac{e^{-K_S x}}{K_S} \right) \)

\( \text{where } K_A = K_2 + K_1 L \times 1\text{E}-9, \quad K_B = K_4 + K_3 I \times 1\text{E}-9, \)

\( \quad S = \sqrt{(4\text{E}-18) \times K_1 K_3 L I + (K_A - K_B)^2},\)

\( K_F = 0.5 K_A + 0.5 K_B + 0.5 S, \quad K_S = 0.5 K_A + 0.5 K_B - 0.5 S,\)

\( \quad \text{Diff} = K_F - K_S, \quad Q = \frac{K_1 L B_{\text{max}}}{\text{Diff}} \times 1\text{E}-9\)

Brief Description

Evaluate a multi-curve model (Motulsky-Mahan) to predict hot ligand binding over time in the presence of varying cold competitor concentrations.

Sample Curve

Parameters

Number: 6

Names: K1, L, K2, K3, I, K4, Bmax

Meanings: K1=association rate constant of hot ligand, L=radioligand concentration of hot ligand in nM, K2=dissociation rate constant of hot competitor, K3=association rate constant of cold competitor, I=radioligand concentration of cold competitor in nM, K4=dissociation rate constant of cold competitor, Bmax=max binding capacity

Lower Bounds: K4>0, Bmax>0

Upper Bounds: none

Script Access

nlf_CompetitiveBinding(x,K1,L,K2,K3,I,K4,Bmax)

Function File

CompetitiveBinding.fdf