emax function

Emax model

The model function for the Emax model is defined as [REMOVE_ME]$f(d,\theta)=E_0+E_{max}\frac{d}{ED_{50}+d}f(d,theta)=E0+Emax d/(ED50 + d). [REMOVE_ME_2]$

Description

The model function for the Emax model is defined as

emax(dose, e0, eMax, ed50)

Arguments

• dose: Dose variable
• e0: Placebo effect
• eMax: Asymptotic maximum change from placebo effect
• ed50: Dose giving half of the asymptotic maximum effect

Details

The emax model is used to represent monotone, concave dose-response shapes. To distinguish it from the more general sigmoid emax model it is sometimes also called hyperbolic emax model.

Returns

Response value

References

MacDougall, J. (2006). Analysis of dose-response studies - Emax model,in N. Ting (ed.), Dose Finding in Drug Development, Springer, New York, pp. 127--145

Pinheiro, J. C., Bretz, F. and Branson, M. (2006). Analysis of dose-response studies - modeling approaches, in N. Ting (ed.). Dose Finding in Drug Development, Springer, New York, pp. 146--171

See Also

sigEmax, logistic, betaMod, linlog, linear, quadratic, exponential