@Article{CiCP-2-87,
author = {J. Fuite, R. E. Marsh and J. A. Tuszynski},
title = {An Application of Prony's Sum of Exponentials Method to Pharmacokinetic Data Analysis},
journal = {Communications in Computational Physics},
year = {2007},
volume = {2},
number = {1},
pages = {87--98},
abstract = {<p style="text-align: justify;">We discuss the basic concept of compartmental modelling in pharmacokinetics
and demonstrate that all the solutions admitted by multi-compartment models
of classical pharmacokinetics are expressed as linear combinations of exponential
functions of time. This lends itself to data analysis that depends on fitting exponential
functions to finite size sets. A mathematical method developed a long time ago to deal
with this type of problem is called Prony&#39;s method. We discuss the usefulness of this
method in pharmacokinetic modeling and apply it to a particular data set obtained
for the drug mibefradil. In spite of the method&#39;s power in dealing with well-behaved
data sets, we indicate the existence of severe limitations since real concentration curves
coming from pharmacokinetic data are seldom purely exponential.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7897.html}
}