ABSTRACT:
This the model from the article without the time delays:
A Delayed Nonlinear PBPK Model for Genistein Dosimetry in Rats.
Zager MG, Schlosser PM, Tran HT. Bull Math Biol.
2007 Jan;69(1):93-117. Pubmed ID: 17024552
,
doi: 0.1007/s11538-006-9068-x
.
Abstract:
Genistein is an endocrine-active compound (EAC) found in soy products. It has been linked to beneficial effects such as mammary tumor growth suppression and adverse endocrine-related effects such as reduced birth weight in rats and humans. In its conjugated form, genistein is excreted in the bile, which is a significant factor in its pharmacokinetics. Experimental data suggest that genistein induces a concentration-dependent suppression of biliary excretion. In this article, we describe a physiologically based pharmacokinetic (PBPK) model that focuses on biliary excretion with the goal of accurately simulating the observed suppression. The mathematical model is a system of nonlinear differential equations with state-dependent delay to describe biliary excretion. The model was analyzed to examine local existence and uniqueness of a solution to the equations. Furthermore, unknown parameters were estimated, and the mathematical model was compared against published experimental data.
This model was taken from the CellML repository
and automatically converted to SBML.
Both the CellML version and the converted SBML version do not contain the time dalays of the original model.
The original model was:
Zager, Schlosser, Tran, 2007 version03
The original CellML model was created and curated by:
Lloyd, Catherine, May
c.lloyd(at)auckland.ac.nz
The University of Auckland, Bioengineering Institute
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Lukas Endler 
