32.1.6 AllostericShiftLog

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

Function

\(y =A_1+\frac{A_2 - A_1}{10^{p(\text{LogEC}-x)+1}} \)

\(\text{where LogEC = LogEC50} + \text{log}10 \left( \frac{B/K_b + 1}{alpha \cdot B/K_b + 1}\right),\)

\(K_b = 10^{\text{LogKb}}, \text{and } alpha = 10^{\text{Logalpha}} \)

Brief Description

Allosteric EC50 shift function with log(X)

Sample Curve

Parameters

Number: 7

Names: LogEC50, LogKb, Logalpha, B, A1, A2, p

Meanings: LogEC50= Logarithm of concentration of agonist at half max response without modulator., LogKb=Logarithm of equilibrium dissociation constant, Logalpha=Logarithm of ternary complex constant, B=Concentration of modulator, A1=Bottom asymptote, A2=Top asymptote, p=Hill slope

Lower Bounds: none

Upper Bounds: none

Derived Parameters

Kb=10^LogKb

Script Access

nlf_AllostericShiftLog(x,LogEC50,LogKb,Logalpha,B,A1,A2,p)

Function File

AllostericShiftLog.fdf