On some stochastic formulations and related statistical moments of pharmacokinetic models. Academic Article

abstract

• This paper presents the deterministic and stochastic model for a linear compartment system with constant coefficients, and it develops expressions for the mean residence times (MRT) and the variances of the residence times (VRT) for the stochastic model. The expressions are relatively simple computationally, involving primarily matrix inversion, and they are elegant mathematically, in avoiding eigenvalue analysis and the complex domain. The MRT and VRT provide a set of new meaningful response measures for pharmacokinetic analysis and they give added insight into the system kinetics. The new analysis is illustrated with an example involving the cholesterol turnover in rats.

authors

• Wehrly, Thomas

published proceedings

• J Pharmacokinet Biopharm

author list (cited authors)

• Matis, J. H., Wehrly, T. E., & Metzler, C. M.

citation count

• 49

complete list of authors

• Matis, JH||Wehrly, TE||Metzler, CM

publication date

• February 1983

publisher

• Springer Nature  Publisher

published in

• Journal of Pharmacokinetics and Pharmacodynamics  Journal

keywords

• Animals
• Cholesterol
• Kinetics
• Models, Biological
• Pharmaceutical Preparations
• Rats
• Statistics As Topic
• Stochastic Processes
• Time Factors

PubMed Central ID

• 6875812

Digital Object Identifier (DOI)

• 10.1007/BF01061769

start page

• 77

end page

• 92

volume

• 11

issue

• 1

URL

• http://dx.doi.org/10.1007/bf01061769