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Merge pull request #72 from nlmixr2/phenylalanine_charbonneau_2021-v2
Add phenylalanine_charbonneau_2021 model; allow models not to have estimated parameters
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phenylalanine_charbonneau_2021 <- function() { | ||
description <- "Phenylalanine model for absorption and metabolism in healthy subjects and patients with PKU" | ||
reference <- "Charbonneau, M.R., Denney, W.S., Horvath, N.G. et al. Development of a mechanistic model to predict synthetic biotic activity in healthy volunteers and patients with phenylketonuria. Commun Biol 4, 898 (2021). https://doi.org/10.1038/s42003-021-02183-1" | ||
covariates <- | ||
list( | ||
WT = "Body weight in kg", | ||
time = "Time in hours", | ||
f_pah = "Fraction of healthy PAH activity (healthy = 1; PKU patient = 0 to 0.03)", | ||
bl_phe = "Typical values are about 0.075 mmol/L in healthy subjects and 1.18 mmol/L in patients" | ||
) | ||
# parameters come from Table 4 in paper | ||
ini({ | ||
bl_phe <- 1.18; label("Baseline Phenylalanine (Phe) concentration (mmol/L)") | ||
bl_gut <- 0; label("Baseline Phe in the gut (mg)") | ||
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ka_gut <- 0.25; label("Absorption rate from gut to plasma") | ||
v_npd <- 0.015; label("Rate of net protein breakdown ((mmol/L)/hr)") | ||
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vmax_pah <- 0.9; label("Maximum rate of Phe breakdown by PAH in a healthy subject ((mmol/L)/hr)") | ||
f_pah <- 0; label("Fraction of healthy PAH activity (PKU patient = 0 to 0.02)") | ||
km_pah <- 0.51; label("Michaelis-Menten constant for Phe with PAH (mmol/L)") | ||
kact_pah <- 0.54; label("Phe activation constant for PAH") | ||
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vmax_trans <- 0.063; label("Maximum rate of Phe breakdown by transaminase ((mmol/L)/hr)") | ||
km_trans <- 1.37; label("Michaelis-Menten constant for Phe with transaminase (mmol/L)") | ||
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cl_renal <- 5.696e-4; label("Renal clearance of Phe per body weight ((L/kg)/hr)") | ||
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vd <- 0.5; label("Body-weight normalized volume distribution of Phe (L/kg)") | ||
}) | ||
model({ | ||
# Molecular weight of Phe (g/mol) | ||
mw_phe <- 165.19 | ||
# Unit conversion adjustment from Gut to Plasma concentrations (mmol/L)/mg | ||
f_gut_plasma <- 1/(mw_phe * vd_phe * WT) | ||
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v_pah <- vmax_pah*f_pah / (1 + km_pah/phe + km_pah*kact_pah/(phe^2)) # units: (mmol/L)/hr | ||
v_trans <- vmax_trans / (1 + km_trans/phe) # units: (mmol/L)/hr | ||
v_renal <- phe * cl_renal * vd # units: (mmol/L)/hr | ||
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d/dt(gut) <- -ka_gut*gut | ||
d/dt(phe) <- ka*gut*f_gut_plasma + v_npd - v_pah - v_trans - v_renal | ||
gut(0) <- bl_gut | ||
phe(0) <- bl_phe | ||
phe_umol <- phe * 1000 # units: umol/L (more commonly used in clinical laboratories) | ||
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# The following is an augmentation of the model reported in the paper. It | ||
# indicates the approximate daily Phe intake (in mg) to achieve | ||
# steady-state. | ||
daily_phe_intake <- 24 * vd * (v_pah + v_trans + v_renal - v_npd) / f_gut_plasma | ||
}) | ||
} |
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