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## Warfarin example from software comparison in: | ||
## Nyberg et al., "Methods and software tools for design evaluation | ||
## for population pharmacokinetics-pharmacodynamics studies", | ||
## Br. J. Clin. Pharm., 2014. | ||
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## Evaluating with uncertainty around parameter values in the model | ||
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library(PopED) | ||
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library(babelmixr2) | ||
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f <- function() { | ||
ini({ | ||
tCl <- 0.15 | ||
tV <- 8 | ||
tKA <- 1.0 | ||
tFavail <- fix(1) | ||
eta.cl ~ 0.07 | ||
eta.v ~ 0.02 | ||
eta.ka ~ 0.6 | ||
prop.sd <- sqrt(0.01) # nlmixr2 uses sd | ||
add.sd <- sqrt(0.25) | ||
}) | ||
model({ | ||
CL <- tCl*exp(eta.cl) | ||
V <- tV*exp(eta.v) | ||
KA <- tKA*exp(eta.ka) | ||
Favail <- tFavail | ||
y <- (DOSE*Favail*KA/(V*(KA-CL/V)))*(exp(-CL/V*time)-exp(-KA*time)) | ||
y ~ prop(prop.sd) + add(add.sd) | ||
}) | ||
} | ||
# First define standard controler from nlmixr2 | ||
e <- et(c(0.5, 1,2,6,24,36,72,120)) %>% | ||
as.data.frame() | ||
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babel.db <- nlmixr2(f, e, "poped", | ||
popedControl(groupsize=32, | ||
minxt=0, | ||
maxxt=120, | ||
a=70, | ||
mina=0, | ||
maxa=100)) | ||
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# Adding 10% Uncertainty to all fixed effects (not Favail) | ||
bpop_vals_ed <- babel.db$parameters$bpop | ||
for (n in row.names(bpop_vals_ed)) { | ||
if (n %in% c("tCl", "tV", "tKA")) { | ||
bpop_vals_ed[n,] <- c(4, # log-normal distribution; | ||
# note 1: normal distribution | ||
bpop_vals_ed[n,2], # original value | ||
(bpop_vals_ed[n,2]*0.1)^2 # 10% of original value | ||
) | ||
} | ||
} | ||
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# Now update the database to include these new values | ||
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babel.db <- create.poped.database(babel.db, bpop=bpop_vals_ed, | ||
ED_samp_size=20) | ||
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## -- Define initial design and design space | ||
## ElnD: E(ln(det(FIM))) evaluate. | ||
## result is inaccurate (run several times to see) | ||
## increase ED_samp_size for a more accurate calculation | ||
tic();evaluate_design(babel.db,d_switch=FALSE,ED_samp_size=20); toc() | ||
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## optimization with line search search | ||
output_ls <- poped_optim(babel.db, opt_xt=T, parallel=T, method = "LS", d_switch=F, ED_samp_size=20) | ||
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## Fixme: | ||
## laplace does not seem to work with babelmixr2 | ||
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## ED: E(det(FIM)) using Laplace approximation | ||
## deterministic calculation, relatively fast | ||
## can be more stable for optimization | ||
## tic(); evaluate_design(babel.db,d_switch=FALSE,use_laplace=TRUE); toc() | ||
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## optimization with Laplace | ||
## output_ls <- poped_optim(babel.db, opt_xt=T, parallel=T, method = "LS", d_switch=F, use_laplace=T) |