A model of a given physiological system has been shown to be a priori nonidentifiable. Discuss possible strategies to cope with nonidentifiability. The kinetics of a drug in the body are described by...

A model of a given physiological system has been shown to be a priori nonidentifiable.

Discuss possible strategies to cope with nonidentifiability.

The kinetics of a drug in the body are described by the model shown below:

Q_ 1ðtÞ 5 2 ðk21 1 k01ÞUQ1ðtÞ 1 U1ðtÞ; Q1ð0Þ 5 0

C1ðtÞ 5 Q1ðtÞ

V1

8

>

>:

• Show that the model is a priori nonidentifiable and derive the uniquely identifiable

parametrization.

• Examine the a priori identifiability of this model if it now includes an additional

output from compartment 2: