# Principles of Pharmacokinetics

Pharmacokinetics is the study of the time profile of drugs and metabolites in a physiological organism. It is often described as “what the body does to the drug”. Generally, our goal is to predict a time course of drug concentration that resembles the observations we have collected from an individual. (Observations from a population are covered in Population Models in PoPy.)

To make these predictions we build a mathematical model that, for an individual, has two main components:

1. A deterministic structural model with parameters that define the shape of the time course

2. A stochastic residual error model that specifies how observations deviate from the deterministic predictions

- [MouldUpton2012]

- [MouldUpton2013]

- [UptonMould2013]

- [RowlandTozer2012]

This part of the book provides a detailed description of how various pharmacokinetic (PK) models are implemented in PoPy. It assumes no prior knowledge of PK, hence experienced modellers may be tempted to skip this section. It is, however, probably valuable to look at the syntax for absorption models, particular the Weibull model, which is not available in other population modelling software.

- Elimination, Clearance and Volume of Distribution
- Compartment Models
- Dose Administration
- Residual Error Model
- Estimating Model Parameters
- Uncertainty and Standard Errors