Physicians commonly prescribe drugs in a multiple dosage regimen for p
rolonged therapeutic activity. To study the effect of multiple dosing
on drug concentration in blood, researchers often use deterministic mo
dels with the assumption that drugs are administered at a fixed dosage
, with equal or unequal (fixed) dosing intervals. In practice, many pa
tients do not comply with such a rigid schedule. Hence, two possible s
cenarios might occur: patients might not take the prescribed dosing am
ount, resulting in erratic dosing sizes; they might not adhere to the
dosing schedule, resulting in erratic dosing times. We propose separat
e statistical models for these two scenarios and study their impact on
blood serum/plasma concentration. With non-compliance, some basic con
cepts such as steady state need new definition. We provide a rigorous
formulation for the principle of superposition which enables us to gen
eralize the concept of steady state. Applying the proposed models, we
demonstrate that non-compliance causes the drug concentration time cur
ve to exhibit an increase in fluctuation. The increase in fluctuation
due to non-compliance cannot be explained with use of the classical de
terministic multiple dose model.