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#' Create degradation functions for known analytical solutions
#'
#' @param spec List of model specifications as contained in mkinmod objects
#' @param use_of_ff Minimum or maximum use of formation fractions
#' @return Degradation function to be attached to mkinmod objects
#' @examples
#'
#' SFO_SFO <- mkinmod(
#' parent = mkinsub("SFO", "m1"),
#' m1 = mkinsub("SFO"))
#' FOCUS_D <- subset(FOCUS_2006_D, value != 0) # to avoid warnings
#' fit_1 <- mkinfit(SFO_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE)
#' \dontrun{
#' fit_2 <- mkinfit(SFO_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE)
#' if (require(rbenchmark))
#' benchmark(
#' analytical = mkinfit(SFO_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE),
#' deSolve = mkinfit(SFO_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE),
#' replications = 2)
#' DFOP_SFO <- mkinmod(
#' parent = mkinsub("DFOP", "m1"),
#' m1 = mkinsub("SFO"))
#' benchmark(
#' analytical = mkinfit(DFOP_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE),
#' deSolve = mkinfit(DFOP_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE),
#' replications = 2)
#' }
#' @export
create_deg_func <- function(spec, use_of_ff = c("min", "max")) {
use_of_ff <- match.arg(use_of_ff)
min_ff <- use_of_ff == "min"
obs_vars <- names(spec)
parent <- obs_vars[1]
parent_type <- spec[[1]]$type
supported <- TRUE # This may be modified below
predicted_text <- character(0)
if (parent_type == "SFO") {
if (min_ff) {
targets <- c(spec[[1]]$to, if (spec[[1]]$sink) "sink" else NULL)
k_parent <- paste(paste0("k_", parent, "_", targets), collapse = " + ")
} else {
k_parent <- paste0("k_", parent)
}
}
predicted_text[parent] <- paste0(parent_type, ".solution(t, odeini['", parent,
if (parent_type == "SFORB") "_free", "'], ",
switch(parent_type,
SFO = k_parent,
FOMC = "alpha, beta",
IORE = paste0("k__iore_", parent, if (min_ff) "_sink" else "", ", N_", parent),
DFOP = "k1, k2, g",
SFORB = paste0("k_", parent, "_free_bound, k_", parent, "_bound_free, k_", parent, "_free", if (min_ff) "_sink" else ""),
HS = "k1, k2, tb",
logistic = "kmax, k0, r"
),
")")
if (length(obs_vars) >= 2) supported <- FALSE
# Except for the following cases:
if (length(obs_vars) == 2) {
n1 <- obs_vars[1]
n2 <- obs_vars[2]
n10 <- paste0("odeini['", parent, "']")
n20 <- paste0("odeini['", n2, "']")
# sfo_sfo
if (all(
spec[[1]]$sink == FALSE,
spec[[1]]$type == "SFO",
spec[[2]]$type == "SFO",
is.null(spec[[2]]$to))) {
supported <- TRUE
k1 <- k_parent
k2 <- paste0("k_", n2, if(min_ff) "_sink" else "")
predicted_text[n2] <- paste0(
"(((", k2, "-", k1, ")*", n20, "-", k1, "*", n10, ")*exp(-", k2, "*t)+",
k1, "*", n10, "*exp(-", k1, "*t))/(", k2, "-", k1, ")")
}
# sfo_f12_sfo
if (all(
use_of_ff == "max",
spec[[1]]$sink == TRUE,
spec[[1]]$type == "SFO",
spec[[2]]$type == "SFO",
is.null(spec[[2]]$to))) {
supported <- TRUE
k1 <- k_parent
k2 <- paste0("k_", n2)
f12 <- paste0("f_", n1, "_to_", n2)
predicted_text[n2] <- paste0(
"(((", k2, "-", k1, ")*", n20, "-", f12, "*", k1, "*", n10, ")*exp(-", k2, "*t)+",
f12, "*", k1, "*", n10, "*exp(-", k1, "*t))/(", k2, "-", k1, ")")
}
# sfo_k120_sfo
if (all(
use_of_ff == "min",
spec[[1]]$sink == TRUE,
spec[[1]]$type == "SFO",
spec[[2]]$type == "SFO",
is.null(spec[[2]]$to))) {
supported <- TRUE
k12 <- paste0("k_", n1, "_", n2)
k10 <- paste0("k_", n1, "_sink")
k2 <- paste0("k_", n2, "_sink")
predicted_text[n2] <- paste0(
"(((", k2, "-", k12, "-", k10, ")*", n20, "-", k12, "*", n10, ")*exp(-", k2, "*t)+",
k12, "*", n10, "*exp(-(", k_parent, ")*t))/(", k2, "-(", k_parent, "))")
}
# dfop_f12_sfo
if (all(
use_of_ff == "max",
spec[[1]]$sink == TRUE,
spec[[1]]$type == "DFOP",
spec[[2]]$type == "SFO",
is.null(spec[[2]]$to))) {
supported <- TRUE
f12 <- paste0("f_", n1, "_to_", n2)
k2 <- paste0("k_", n2)
predicted_text[n2] <- paste0(
"((", f12, "* g - ", f12, ") * k2 * ", n10, " * exp(- k2 * t))/(k2 - ", k2, ") - ",
"((", f12, "* g) * k1 * ", n10, " * exp(- k1 * t))/(k1 - ", k2, ") + ",
"(((k1 - ", k2, ") * k2 - ", k2, "* k1 + ", k2, "^2) * ", n20, "+",
"((", f12, "* k1 + (", f12, "*g - ", f12, ") * ", k2, ") * k2 - ", f12, " * g * ", k2, " * k1) * ", n10, ") * ",
"exp( - ", k2, " * t)/((k1 - ", k2, ") * k2 - ", k2, " * k1 + ", k2, "^2)")
}
}
if (supported) {
deg_func <- function(observed, odeini, odeparms) {}
f_body <- paste0("{\n",
"predicted <- numeric(0)\n",
"with(as.list(odeparms), {\n")
for (obs_var in obs_vars) {
f_body <- paste0(f_body,
"t <- observed[observed$name == '", obs_var, "', 'time']\n",
"predicted <<- c(predicted, ", predicted_text[obs_var], ")\n")
}
f_body <- paste0(f_body,
"})\n",
"return(predicted)\n}\n")
body(deg_func) <- parse(text = f_body)
return(deg_func)
} else {
return(NULL)
}
}
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