gtoxHillACXX {GladiaTOX} | R Documentation

## Functions to solve the Hill model

### Description

These functions solve for Hill model parameters.

### Usage

    gtoxHillACXX(XX, tp, ga, gw, bt = 0)

    gtoxHillConc(val, tp, ga, gw, bt = 0)

    gtoxHillVal(logc, tp, ga, gw, bt = 0)

### Arguments

`XX` | Numeric, the activity level (percentage of the top value)
`tp` | Numeric, the top value from the Hill model
`ga` | Numeric, the logAC50 value from the Hill model
`gw` | Numeric, the Hill coefficient from the Hill model
`bt` | Numierc, the bottom value from the Hill model
`val` | Numeric, the activity value
`logc` | Numeric, the log concentration

### Details

`gtoxHillVal` computes the value of the Hill model for a given log concentration.

`gtoxHillACXX` computes the activity concentration for a Hill model for a given activity level.

`gtoxHillConc` computes the Hill model concentration for a given value.

### Value

None

### Examples

    ## The following code gives examples for a Hill model with a top of 50,
    ## bottom of 0, AC50 of 1 and Hill coefficient of 1.
    ## gtoxHillVal calculates activity value given a concentration. gtoxHillVal
    ## will return the tp/2 when logc equals ga:
    gtoxHillVal(logc = 1, tp = 50, ga = 1, gw = 1, bt = 0)

    ## Here, gtoxHillConc returns the concentration where the value equals 20
    gtoxHillConc(val = 20, tp = 50, ga = 1, gw = 1, bt = 0)

    ## Note how this differs from gtoxHillACXX:
    gtoxHillACXX(XX = 20, tp = 50, ga = 1, gw = 1, bt = 0)

    ## gtoxHillACXX is based on the top value and allows the user to calculate
    ## specifc activity concentrations based on a percentage of the top value

    ## For example, we can calculate the value for the concentration 0.25, then
    ## use that value to check the other two functions.

    value <- gtoxHillVal(logc = 0.25, tp = 50, ga = 1, gw = 1, bt = 0)
    c1 <- gtoxHillConc(val = value, tp = 50, ga = 1, gw = 1, bt = 0)
    c2 <- gtoxHillACXX(XX = value/50*100, tp = 50, ga = 1, gw = 1, bt = 0)
    all.equal(0.25, c1, c2)

    ## Notice, the value had to be transformed to a percentage of the top value
    ## when using gtoxHillACXX

[Package GladiaTOX version 1.8.0 Index]