FIM_mixed_inhibition {ICAOD}

Fisher Information Matrix for the Mixed Inhibition Model.

Description

It provides the cpp function for FIM for the model ~ V*S/(Km * (1 + I/Kic)+ S * (1 + I/Kiu))

Usage

FIM_mixed_inhibition(S, I, w, param)

Arguments

S

Vector of S component of design points. S is the substrate concentration.

I

Vector of I component of design points. I is the inhibitor concentration.

w

Vector of design weight. Its length must be equal to the length of S and I, besides sum(w) = 1.

param

Vector of values for the model parameters c(V, Km, Kic, Kiu).

Details

The optimal design does not depend on parameter V.

Value

Fisher information matrix of design.

References

Bogacka, B., Patan, M., Johnson, P. J., Youdim, K., & Atkinson, A. C. (2011). Optimum design of experiments for enzyme inhibition kinetic models. Journal of biopharmaceutical statistics, 21(3), 555-572.

Examples

FIM_mixed_inhibition(S = c(30, 3.86, 30, 4.60),
                     I = c(0, 0, 5.11, 4.16), w = rep(.25, 4),
                     param = c(1.5, 5.2, 3.4, 5.6))