Dual endpoint model with emax function for dose-biomarker relationship
This class extends the DualEndpoint
class. Here the
dose-biomarker relationship f(x) is modelled by a parametric EMAX function:
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.
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^{*}
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))
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