Algebraic equations for PK models

Source: R/algebraicLibrary.R

Algebraic equations for PK models

pk1cptiv_(t, A1 = 0, TIME, AMT, V, K, SS = 0, II = Inf)

pk1cptinfusion_(t, A1 = 0, TIME, AMT, RATE, V, K, SS = 0, II = Inf)

pk1cptoral_(t, A0 = 0, A1 = 0, TIME, AMT, V, K, KA, SS = 0, II = Inf)

pk2cptiv_(t, A1 = 0, A2 = 0, TIME, AMT, V, K, K12, K21, SS = 0, II = Inf)

pk2cptinfusion_(
  t,
  A1 = 0,
  A2 = 0,
  TIME,
  AMT,
  RATE,
  V,
  K,
  K12,
  K21,
  SS = 0,
  II = Inf
)

pk2cptoral_(
  t,
  A0 = 0,
  A1 = 0,
  A2 = 0,
  TIME,
  AMT,
  V,
  K,
  KA,
  K12,
  K21,
  SS = 0,
  II = Inf
)

pk3cptiv_(
  t,
  A1 = 0,
  A2 = 0,
  A3 = 0,
  TIME,
  AMT,
  V,
  K,
  K12,
  K21,
  K13,
  K31,
  SS = 0,
  II = Inf
)

pk3cptinfusion_(
  t,
  A1 = 0,
  A2 = 0,
  A3 = 0,
  TIME,
  AMT,
  RATE,
  V,
  K,
  K12,
  K21,
  K13,
  K31,
  SS = 0,
  II = Inf
)

pk3cptoral_(
  t,
  A0 = 0,
  A1 = 0,
  A2 = 0,
  A3 = 0,
  TIME,
  AMT,
  V,
  K,
  KA,
  K12,
  K21,
  K13,
  K31,
  SS = 0,
  II = Inf
)

Arguments

t

sampling times
A1

initial state for A1 at TIME
TIME

dosing time
AMT

dosing amount
V

volume of distribution
K

elimination constant
SS

0 for no steady-state, 1 for steady-state
II

inter-dose interval, required for steady-state calculations
RATE

infusion rate
A0

initial state for A0 at TIME
KA

absorption constant
A2

initial state for A2 at TIME
K12

transfer rate from central compartment to peripheral compartment A
K21

transfer rate from peripheral compartment A to central compartment
A3

initial state for A3 at TIME
K13

transfer rate from central compartment to peripheral compartment B
K31

transfer rate from peripheral compartment B to central compartment

Value

vector of same size as `t`, with the concentrations