# A SixCompartment Linear Mammillary Model

A SixCompartment Linear Mammillary Model Mathematical models have been constructed to aid in the understanding of the pharmacokinetics of different drugs. Gives a mathematical analysis of the courses over time of absorption, distribution and elimination of a drug in a sixcompartment linear mammillary model. A mammillary model is a compartmental model in which a central compartment the udder of a cow is related to all other compartments, but there are no relations between the latter. This linear mammillary model can be used to study the kinetics of protein metabolism in the organism. An optimization method ALIENOR is used which reduces the unknown parameters involved to a single variable. Thus, the problem requires the global minimum of a function of a single variable. The results obtained with the method described are compared with those obtained with the generalized leastsquares method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

# A SixCompartment Linear Mammillary Model

, Volume 21 (1): 7 – Jan 1, 1992
7 pages

/lp/emerald-publishing/a-sixcompartment-linear-mammillary-model-mxb0Ac1Rn7
Publisher
Emerald Publishing
ISSN
0368-492X
DOI
10.1108/eb005914
Publisher site
See Article on Publisher Site

### Abstract

Mathematical models have been constructed to aid in the understanding of the pharmacokinetics of different drugs. Gives a mathematical analysis of the courses over time of absorption, distribution and elimination of a drug in a sixcompartment linear mammillary model. A mammillary model is a compartmental model in which a central compartment the udder of a cow is related to all other compartments, but there are no relations between the latter. This linear mammillary model can be used to study the kinetics of protein metabolism in the organism. An optimization method ALIENOR is used which reduces the unknown parameters involved to a single variable. Thus, the problem requires the global minimum of a function of a single variable. The results obtained with the method described are compared with those obtained with the generalized leastsquares method.

### Journal

KybernetesEmerald Publishing

Published: Jan 1, 1992