Closed-loop stability of pharmacokinetic-pharmacodynamic models.

Abstract:

:In automatic feedback control of intravenous drug infusions, convergence to the setpoint is an important objective. This paper examines the stability of pharmacokinetic-pharmacodynamic models of patient response regulated with proportional integral feedback. The model consists of three components: linear compartmental pharmacokinetics, a first-order lag, and sigmoidal static pharmacodynamics. The permitted pharmacokinetic models obey the principle of detailed balance and admit drug administration into and sampling from the same compartment. Convergence to the setpoint occurs if the reset time of the controller is greater than the maximum possible time constant of the first-order lag. The convergence analysis uses standard Popov stability theory and takes advantage of the little known fact that many pharmacokinetic models possess poles and zeros that alternate on the negative real axis.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Wada DR

doi

10.1016/s0025-5564(97)00076-x

subject

Has Abstract

pub_date

1997-12-01 00:00:00

pages

75-88

issue

2

eissn

0025-5564

issn

1879-3134

pii

S002555649700076X

journal_volume

146

pub_type

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