A diffusion approximation analysis of a general n-compartment system
By: by Donald P. Gaver and John P. Lehoczky
Contributors: Lehoczky, John P.; Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1977
Place of publication: Monterey, Calif
Language: eng
Number of pages: 41
Subjects: Compartmental analysis (Biology); Diffusion processes; Stochastic differential equations; Mathematical models
Description: A new approach to the stochastic analysis of general compartment models is presented. The analysis is based on the concept of diffusion approximations. The state of a compartment system is represented as the superposition of a deterministic process, characterized by a system of ordinary differential equations, and a random noise process characterized by stochastic differential equations. All transition rate parameters are permitted to be time dependent. Numerical solutions are presented for the two-compartment case. Extensions to non-linear compartment models are discussed.
Notes: Title from cover.

"Research supported in part by Grant AFOSR 74-2642 from the Air Force Office of Scientific Research and by NSF grant AG467 at the Naval Postgraduate School.

"April 1977"--Cover.

"NPS-55-77-16"--Cover.

Author(s) subject terms:Diffusion theory, pharmacokinetics, probability, compartments, kinetics.

Includes bibliographical references (p. 25-28)

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1977.