DualEndpointEmax-class {crmPack}

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))