exponential function

Exponential (power) model

Exponential (power) model

The model function for the exponential model is defined as [REMOVE_ME]f(d,θ)=E0+E1(exp(d/δ)1)f(d,theta)=E0+E1(exp(d/delta)1).[REMOVEME2] f(d,\theta)=E_0+E_1(exp(d/\delta)-1)f(d,theta)=E0+E1 (exp(d/delta)-1). [REMOVE_ME_2]

Description

The model function for the exponential model is defined as

f(d,θ)=E0+E1(exp(d/δ)1)f(d,theta)=E0+E1(exp(d/delta)1). f(d,\theta)=E_0+E_1(exp(d/\delta)-1)f(d,theta)=E0+E1 (exp(d/delta)-1).
exponential(dose, e0, e1, delta)

Arguments

  • dose: Dose variable
  • e0: Placebo effect
  • e1: E1 parameter
  • delta: Delta parameter, controlling the convexity of the model.

Details

This model is intended to capture a possible sub-linear or a convex dose-response relationship.

Returns

Response value

References

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

logistic, sigEmax, linlog, linear, quadratic, emax, betaMod

  • Maintainer: Bjoern Bornkamp
  • License: GPL-3
  • Last published: 2020-03-09

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