Abstract
The recirculation equation is examined for the case in which the blood concentration is given by a polyexponential expression ⌆ Ai exp (-ait). A matrix is developed whose eigenvalues are the exponential coefficients of the single pass response. These eigenvalues are real and distinct, and the single pass response is monotonic decreasing, when the Ai are all positive. An ordering relation for the eigenvalues is given.
Similar content being viewed by others
References
D. J. Cutler. A linear recirculation model for drug disposition.J. Pharmacokin. Biopharm. 7:101–116 (1979).
J. Z. Hearon. The kinetics of linear systems with special reference to periodic reactions.Bull. Math. Biophys. 15:121–141 (1953).
D. P. Vaughan and M. J. Dennis. Number of exponential terms describing the solution of anN-compartment mamillary model: vanishing exponentials.J. Pharmacokin. Biopharm. 7:511–525 (1979).
I. P. Williams.Matrices for Scientists, Hutchinson, London, 1972, p. 86.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cutler, D.J. Properties of the recirculation model: Matrix description and conditions for a monotonic decreasing single pass response. Journal of Pharmacokinetics and Biopharmaceutics 9, 217–223 (1981). https://doi.org/10.1007/BF01068083
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01068083