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ABSTRACT: This the model from the article without the time delays: This model was taken from the CellML repository and automatically converted to SBML. This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2011 The BioModels.net Team. In summary, you are entitled to use this encoded model in absolutely any manner you deem suitable, verbatim, or with modification, alone or embedded it in a larger context, redistribute it, commercially or not, in a restricted way or not..
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.
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
To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.
To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.
ORGANISM(S): Rattus
SUBMITTER: Lukas Endler
PROVIDER: MODEL6963432821 | biostudies-other |
SECONDARY ACCESSION(S): 17024552
REPOSITORIES: biostudies-other

Bulletin of mathematical biology 20070101 1
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 physio ...[more]