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. 1990 Dec;18(6):589-607.
doi: 10.1007/BF01073940.

Generalized stochastic compartmental models with Erlang transit times

J H Matis  1 , T E Wehrly
Affiliations

Generalized stochastic compartmental models with Erlang transit times

J H Matis et al. J Pharmacokinet Biopharm. 1990 Dec.

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.

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