The goal:
The goal of pharmacokinetic data analysis is to estimate the pharmacokinetic parameters that determine the rate of drug absorption, distribution and elimination. Estimation of these parameters requires the assumption of a specific pharmacokinetic model.
Pharmacokinetic models:
Pharmacokinetic models allow quantitative (mathematical) description of the rate of drug absorption, distribution and elimination after administration.
Why modeling ?
Modeling allows prediction of the drug pharmacokinetic behavior after administration of different dosing regimens by different routes of administration. Also, modeling allows prediction of the changes in drug pharmacokinetic behavior due to physiological and pathological changes.
a- Compartmental modeling
The body is divided into one or more compartments. The model describes the distribution of the drug between the compartments and drug elimination from one or more of the compartments.
b- Physiological modeling
The body is divided into a series of organs or tissue spaces and the model describes the uptake and disposition of the drug in each of these organs.
c- Model-independent approach
This approach does not assume a specific model, but it uses the
and to describe the rate of drug disposition.The total body clearance is the volume of the plasma or blood which is completely cleared from the drug per unit time. It has units of volume/time.
The CLT for a drug is constant within a patient (dose and concentration independent) when the elimination processes follow first-order kinetics.
The total body clearance is a measure of the efficiency of all eliminating organs in eliminating the drug and it is the sum of all organ clearances (i.e. CLT is the sum of the renal clearance, hepatic clearance and all other organ clearances).
The elimination rate constant and the half life (the dependent pharmacokinetic parameters) are dependent on (is determined from) the total body clearance and the volume of distribution (the independent pharmacokinetic parameters).
CLT
Vd = k andCLT
Vd =0.693
t 1/2The volume of distribution is the apparent volume in which the drug can distribute in. It is the factor that relates the amount of drug in the body to the concentration of the drug in the sampling site. It is not an actual volume, however it is a hypothetical volume determined by the drug distribution behavior.
The volume of distribution ranges from 3-5 liters to more than 25 L/kg. Drugs with higher affinity for tissues, have higher volume of distribution.
After drug administration drug molecules will spend different time intervals in the body despite the fact that all the molecules are similar. Some molecules will be eliminated very quickly and some will stay in the body for longer time based on the statistical probability.
The mean residence time is the average time that drug molecules stay in the body. The mean residence time has units of time