Generalized stochastic compartmental models with Erlang transit times. Academic Article

abstract

• This paper considers the use of semi-Markov process models with Erlang transit times for the description of compartmental systems. The semi-Markov models seem particularly useful for systems with nonhomogeneous "poorly-stirred" compartments. The paper reviews the Markov process models with exponential transit times, and illustrates the application of such models, describing the clearance of calcium in man. The semi-Markov model with Erlang transit times is then developed, and the solutions for its concentration-time curves and residence time moments are given. The use of semi-Markov models is illustrated with the same calcium data, and the results from the two models are compared. The example demonstrates that these semi-Markov models are physiologically more realistic than standard models and may be fitted to pharmacokinetic data using readily available software.

authors

• Wehrly, Thomas

published proceedings

• J Pharmacokinet Biopharm

author list (cited authors)

• Matis, J. H., & Wehrly, T. E.

citation count

• 34

complete list of authors

• Matis, JH||Wehrly, TE

publication date

• December 1990

publisher

• Springer Nature  Publisher

published in

• Journal of Pharmacokinetics and Pharmacodynamics  Journal

keywords

• Mathematics
• Models, Biological
• Pharmacokinetics

PubMed Central ID

• 2280350

Digital Object Identifier (DOI)

• 10.1007/BF01073940

start page

• 589

end page

• 607

volume

• 18

issue

• 6

URL

• http://dx.doi.org/10.1007/bf01073940