Description Usage Arguments Details Value Author(s) See Also Examples
Calculates the response of a four-parameter Hill (or log-logistic) dose-response model, or determines the concentrations which yield the given response.
1 2 | evalHillEqn(conc, parv)
invertHillEqn(val, parv)
|
conc |
a vector of concentrations to be passed as input into the model |
parv |
a four-element vector specifying the full parameter set of a particular Hill model |
val |
a vector of responses to be inverted in a particular Hill model |
There is some ambiguity in how the parameters of a Hill or log-logistic model are specified. We have chosen to use the following equation:
E(D) = E0 + (Ef-E0)/(1+(D/IDM)^(-n))
where the Hill slope n is always positive. Using this equation, the parameter vector for a Hill model is (n,E0,Ef,ln(IDM)) (note that the fourth parameter value is log-transformed in the parameter vector).
For evalHillEqn
a vector of responses resulting from the given concentrations. For invertHillEqn
, a vector
of concentrations that produce the given responses; responses beyond the model's maximal effect will produce a value of Inf
,
while responses that do not reach the model's baseline effect produce a value of 0.
Nathaniel R. Twarog
1 2 |
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