# DualEndpointEmax-class: Dual endpoint model with emax function for dose-biomarker... In crmPack: Object-Oriented Implementation of CRM Designs

 DualEndpointEmax-class R Documentation

## Dual endpoint model with emax function for dose-biomarker relationship

### Description

This class extends the DualEndpoint class. Here the dose-biomarker relationship f(x) is modelled by a parametric EMAX function:

### Details

f(x) = E_{0} + \frac{(E_{max} - E_{0}) * (x/x^{*})}{ED_{50} + (x/x^{*})}

where x^{*} is a reference dose, E_{0} and E_{max} are the minimum and maximum levels for the biomarker and ED_{50} is the dose achieving half of the maximum effect 0.5 * E_{max}.

All parameters can currently be assigned uniform distributions or be fixed in advance.

### Slots

E0

either a fixed number or the two uniform distribution parameters

Emax

either a fixed number or the two uniform distribution parameters

ED50

either a fixed number or the two uniform distribution parameters

refDoseEmax

the reference dose x^{*}

### Examples


model <- DualEndpointEmax(E0 = c(0, 100),
Emax = c(0, 500),
ED50 = c(10,200),
refDoseEmax = 1000,
mu = c(0, 1),
Sigma = matrix(c(1, 0, 0, 1), nrow=2),
sigma2W = c(a=0.1, b=0.1),
rho = c(a=1, b=1))



crmPack documentation built on Sept. 3, 2022, 1:05 a.m.