Add effect compartment
Examples
readModelDb("PK_2cmt_no_depot") |>
addEffectCmtLin()
#>
#>
#> ── rxode2-based free-form 3-cmt ODE model ──────────────────────────────────────
#> ── Initalization: ──
#> Fixed Effects ($theta):
#> lcl lvc lvp lq propSd lke0 uEk effectSd
#> 1.0 3.0 5.0 0.1 0.5 0.1 0.1 0.1
#>
#> States ($state or $stateDf):
#> Compartment Number Compartment Name
#> 1 1 central
#> 2 2 peripheral1
#> 3 3 Ce
#> ── Multiple Endpoint Model ($multipleEndpoint): ──
#> variable cmt dvid*
#> 1 Cc ~ … cmt='Cc' or cmt=4 dvid='Cc' or dvid=1
#> 2 effect ~ … cmt='effect' or cmt=5 dvid='effect' or dvid=2
#> * If dvids are outside this range, all dvids are re-numered sequentially, ie 1,7, 10 becomes 1,2,3 etc
#>
#> ── Model (Normalized Syntax): ──
#> function() {
#> ini({
#> lcl <- 1
#> label("Clearance (CL)")
#> lvc <- 3
#> label("Central volume of distribution (V)")
#> lvp <- 5
#> label("Peripheral volume of distribution (Vp)")
#> lq <- 0.1
#> label("Intercompartmental clearance (Q)")
#> propSd <- c(0, 0.5)
#> label("Proportional residual error (fraction)")
#> lke0 <- 0.1
#> label("effect compartment rate (ke0)")
#> uEk <- 0.1
#> label("untransformed linear slope (Ek)")
#> effectSd <- c(0, 0.1)
#> label("additive error for effect")
#> })
#> model({
#> ke0 <- exp(lke0)
#> Ek <- uEk
#> cl <- exp(lcl)
#> vc <- exp(lvc)
#> vp <- exp(lvp)
#> q <- exp(lq)
#> kel <- cl/vc
#> k12 <- q/vc
#> k21 <- q/vp
#> d/dt(central) <- -kel * central - k12 * central + k21 *
#> peripheral1
#> d/dt(peripheral1) <- k12 * central - k21 * peripheral1
#> Cc <- central/vc
#> Cc ~ prop(propSd)
#> d/dt(Ce) <- ke0 * (Cc - Ce)
#> effect <- Ce * Ek
#> effect ~ add(effectSd)
#> })
#> }
# Can also be changed to the more typical Emax with constant (estimated) baselie
readModelDb("PK_2cmt_no_depot") |>
addEffectCmtLin() |>
convertEmaxHill() |>
addBaselineConst()
#>
#>
#> ── rxode2-based free-form 3-cmt ODE model ──────────────────────────────────────
#> ── Initalization: ──
#> Fixed Effects ($theta):
#> lcl lvc lvp lq propSd lke0 effectSd lEmax
#> 1.000000 3.000000 5.000000 0.100000 0.500000 0.100000 0.100000 0.100000
#> lEC50 lgg uEb
#> 0.100000 -2.302585 0.100000
#>
#> States ($state or $stateDf):
#> Compartment Number Compartment Name
#> 1 1 central
#> 2 2 peripheral1
#> 3 3 Ce
#> ── Multiple Endpoint Model ($multipleEndpoint): ──
#> variable cmt dvid*
#> 1 Cc ~ … cmt='Cc' or cmt=4 dvid='Cc' or dvid=1
#> 2 effect ~ … cmt='effect' or cmt=5 dvid='effect' or dvid=2
#> * If dvids are outside this range, all dvids are re-numered sequentially, ie 1,7, 10 becomes 1,2,3 etc
#>
#> ── Model (Normalized Syntax): ──
#> function() {
#> ini({
#> lcl <- 1
#> label("Clearance (CL)")
#> lvc <- 3
#> label("Central volume of distribution (V)")
#> lvp <- 5
#> label("Peripheral volume of distribution (Vp)")
#> lq <- 0.1
#> label("Intercompartmental clearance (Q)")
#> propSd <- c(0, 0.5)
#> label("Proportional residual error (fraction)")
#> lke0 <- 0.1
#> label("effect compartment rate (ke0)")
#> effectSd <- c(0, 0.1)
#> label("additive error for effect")
#> lEmax <- 0.1
#> label("Maximum effect (Emax)")
#> lEC50 <- 0.1
#> label("Concentration of 50% Emax (Emax)")
#> lgg <- -2.30258509299405
#> label("logit-constrained Hill coefficient g")
#> uEb <- 0.1
#> label("untransformed constant baseline (Eb)")
#> })
#> model({
#> Eb <- uEb
#> Emax <- exp(lEmax)
#> EC50 <- exp(lEC50)
#> g <- expit(lgg, 0.1, 10)
#> ke0 <- exp(lke0)
#> cl <- exp(lcl)
#> vc <- exp(lvc)
#> vp <- exp(lvp)
#> q <- exp(lq)
#> kel <- cl/vc
#> k12 <- q/vc
#> k21 <- q/vp
#> d/dt(central) <- kel * central - k12 * central + k21 *
#> peripheral1
#> d/dt(peripheral1) <- k12 * central - k21 * peripheral1
#> Cc <- central/vc
#> Cc ~ prop(propSd)
#> d/dt(Ce) <- ke0 * (Cc - Ce)
#> effect <- Ce * Ek + Eb
#> effect ~ add(effectSd)
#> })
#> }