- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2007-06-20 21:21:05+12:00
- Desc:
- committing version01 of schlosser_selgrade_2000
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/schlosser_selgrade_2000/rawfile/9232a64fd0dcc5a59e643ce077c91a90aa852f73/schlosser_selgrade_2000.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : schlosser_model_2000.xml
CREATED : 20th June 2007
LAST MODIFIED : 20th June 2007
AUTHOR : Catherine Lloyd
Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.1 Specification.
DESCRIPTION : This file contains a CellML description of Schlosser and Selgrade's 2000 mathematical model of gonadotropin regulation during the menstrual cycle in women.
CHANGES:
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="schlosser_selgrade_model_2000_version01" name="schlosser_selgrade_model_2000_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Modelling Gonadotropin Regulation during the Menstrual Cycle in Women</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
There are increasing concerns that environmental pollutants may disrupt the endocrine systems in both humans and wildlife. Of particular concern are compounds that can mimic the effects of endogenous estrogen. These can bind to the estrogen receptor and therefore they are able to anatagonise the effects of endogenous estrogen by preventing its binding to its receptor. It has been suggested that artificial estrogens in the environment are responsible for declining male sperm counts and also increases in the incidence of breast cancer. However, there is considerable uncertainty surrounding these hypotheses.
</para>
<para>
The aim of the study by Schlosser and Selgrade was to develop a mathematical model of the human menstrual cycle which could be used to predict the effects of interactions between exogenous compounds and the sexual endocrine system in adult women. Such a model had to take into consideration the fact the endocrine system is largely self-regulating, and is able to compensate for moderate variations - such as in dietary phytoestrogens (e.g. in soy products), or physiological fluctuations in hormone levels over the course of the menstrual cycle.
</para>
<para>
The model presented here (and summarised in the figure below) describes the synthesis and release of luteinizing hormone (LH) and follicle-stimulating hormone (FSH) and their regulation under normal physiological conditions in adult, cycling women. Two systems of two-dimensional ordinary differential equations are used to model the LH and FSH processes of synthesis, release and clearance. Each system is a two compartment model consisting of the hypothalamus/pituitary and the blood as shown in <xref linkend="fig_reaction_diagram"/> below. Hormone synthesis occurs in the pituitary where the hormones are held in a reserve pool (RP) until they are released into the systemic circulation. Feedback loops are incorporated into the model to capture the various inhibiting and enhancing effects of progesterone (P4) and estradiol (E2) on the synthesis and release of LH and FSH.
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="schlosser_2000.png"/>
</imageobject>
</mediaobject>
<caption>Schematic diagram of the mathematical model of luteinizing hormone (LH) and follicle-stimulating hormone (FSH) synthesis and release. Solid arrows represent pathways of synthesis (syn), release into the blood (rel), and clearance from the blood (clear). Dashed arrows represent regulatory pathways, either positive (+) or negative (-), with feedback from estradiol (E2), progesterone (P4), and inhibin (Ih).</caption>
</informalfigure>
<para>
The complete original paper reference is cited below:
</para>
<para>
<ulink url="http://www.ehponline.org/docs/2000/suppl-5/873-881schlosser/abstract.html">A model of gonadotropin regulation during the menstrual cycle in women: qualitative features</ulink>, Paul M. Schlosser and James F. Selgrade, 2000, <ulink url="http://www.ehponline.org/">
<emphasis>Environmental Health Perspectives</emphasis>
</ulink>, 108, 873-881. (A <ulink url="http://www.ehponline.org/members/2000/suppl-5/873-881schlosser/schlosser-full.html">full text</ulink> HTML version of the article is available free on the <emphasis>Environmental Health Perspectives</emphasis> website.) <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&cmd=Retrieve&dopt=AbstractPlus&list_uids=11226623&query_hl=1&itool=pubmed_docsum">PubMed ID: 11226623</ulink>
</para>
</sect1>
</article>
</documentation>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
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as a whole, as indicated by the empty about attribute on the
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<rdf:Description rdf:about="">
<!--
The Model Builder Metadata. The Dublin Core "creator" element is used
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-->
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Lloyd</vCard:Family>
<vCard:Given>Catherine</vCard:Given>
<vCard:Other>May</vCard:Other>
</vCard:N>
<vCard:EMAIL rdf:parseType="Resource">
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
</vCard:EMAIL>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</vCard:ORG>
</dc:creator>
<!--
The Creation Date metadata. This is the date on which the model
was translated into CellML.
-->
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2007-06-20</dcterms:W3CDTF>
</dcterms:created>
<!--
The Modification History metadata. This lists the changes that have been
made to the document, who made the changes, and when they were made.
-->
<!-- The Publisher metadata. -->
<dc:publisher>
The University of Auckland, Bioengineering Institute
</dc:publisher>
</rdf:Description>
<!--
The following metadata refers to the model itself, as indicated by the
reference to the ID "schlosser_model_2000", which is declared
on the <model> element.
-->
<rdf:Description rdf:about="#schlosser_model_2000">
<!-- A human readable name for the model. -->
<dc:title>
Schlosser and Selgrade's 2000 mathematical model of gonadotropin regulation during the menstrual cycle in women.
</dc:title>
<!-- A comment regarding the model. -->
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
This is the CellML description of Schlosser and Selgrade's 2000 mathematical model of gonadotropin regulation during the menstrual cycle in women.
</rdf:value>
<!-- The creator of the comment. -->
<dc:creator rdf:parseType="Resource">
<vCard:FN>Catherine Lloyd</vCard:FN>
</dc:creator>
</cmeta:comment>
<cmeta:bio_entity>hypothalamus</cmeta:bio_entity>
<cmeta:bio_entity>pituitary</cmeta:bio_entity>
<!-- Keyword(s) -->
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>gonadotropin</rdf:li>
<rdf:li>hypothalamus</rdf:li>
<rdf:li>pituitary</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
<!--
The CellML Metadata Specification recommends that bibliographic metadata
is used to provide information about the original model reference. The
"identifier" attribute on the "BibliographicReference" class provides an
elegant way to identify a cited reference using a database identifier
such as Pubmed. All associated data such as author, journal title,
date, etc can be looked up on the database.
-->
<bqs:reference rdf:parseType="Resource">
<bqs:Pubmed_id>11035997</bqs:Pubmed_id>
<bqs:JournalArticle rdf:parseType="Resource">
<dc:creator>
<rdf:Seq>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Schlosser</vCard:Family>
<vCard:Given>Paul</vCard:Given>
<vCard:Other>M</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Selgrade</vCard:Family>
<vCard:Given>James</vCard:Given>
<vCard:Other>F</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
</rdf:Seq>
</dc:creator>
<dc:title>
A model of gonadotropin regulation during the menstrual cycle in women: qualitative features
</dc:title>
<dcterms:issued rdf:parseType="Resource">
<dcterms:W3CDTF>2000</dcterms:W3CDTF>
</dcterms:issued>
<bqs:Journal rdf:parseType="Resource">
<dc:title>Environmental Health Perspectives</dc:title>
</bqs:Journal>
<bqs:volume>108</bqs:volume>
<bqs:first_page>873</bqs:first_page>
<bqs:last_page>881</bqs:last_page>
</bqs:JournalArticle>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
<units name="day">
<unit multiplier="86400.0" units="second"/>
</units>
<units name="U" base_units="yes"/>
<units name="U_L">
<unit units="U"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="ng_L">
<unit prefix="nano" units="gram"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="ng_ml">
<unit prefix="nano" units="gram"/>
<unit prefix="milli" units="litre" exponent="-1"/>
</units>
<units name="nmol_L">
<unit prefix="nano" units="mole"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="L_ng">
<unit units="litre"/>
<unit prefix="nano" units="gram" exponent="-1"/>
</units>
<units name="L_ng2">
<unit units="L_ng" exponent="2"/>
</units>
<units name="microg_day">
<unit prefix="micro" units="gram"/>
<unit units="day" exponent="-1"/>
</units>
<units name="first_order_rate_constant">
<unit units="day" exponent="-1"/>
</units>
<component name="environment">
<variable name="time" public_interface="out" units="day"/>
</component>
<component name="RP_LH" cmeta:id="RP_LH">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="RP_LH">
<dc:title>RP_LH</dc:title>
<dcterms:alternative>releasable pool of luteinizing hormone</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable name="rel_LH_E2_P4_RP_LH" public_interface="out" units="microg_day"/>
<variable name="RP_LH" units="ng_ml"/>
<variable name="syn_LH_E2_P4" units="microg_day"/>
<variable name="V0_LH" initial_value="1400.0" units="microg_day"/>
<variable name="V1_LH" initial_value="95900.0" units="microg_day"/>
<variable name="dE" initial_value="0.42" units="day"/>
<variable name="dp" initial_value="2.9" units="day"/>
<variable name="h" initial_value="8.0" units="dimensionless"/>
<variable name="Km_LH" initial_value="360.0" units="ng_L"/>
<variable name="Ki_LHP" initial_value="26.0" units="nmol_L"/>
<variable name="kLH_rel" initial_value="3.0" units="first_order_rate_constant"/>
<variable name="CLH_P" initial_value="0.024" units="L_ng"/>
<variable name="CLH_E" initial_value="0.008" units="L_ng"/>
<variable name="E2" public_interface="in" units="ng_L"/>
<variable name="P4" public_interface="in" units="nmol_L"/>
<variable name="time" public_interface="in" units="day"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> RP_LH </ci>
</apply>
<apply><minus/>
<ci> syn_LH_E2_P4 </ci>
<ci> rel_LH_E2_P4_RP_LH </ci>
</apply>
</apply>
<apply id="syn_LH_E2_P4_calculation"><eq/>
<ci> syn_LH_E2_P4 </ci>
<apply><divide/>
<apply><plus/>
<ci> V0_LH </ci>
<apply><divide/>
<apply><times/>
<ci> V1_LH </ci>
<ci> E2 </ci>
<apply><power/>
<apply><minus/>
<ci> time </ci>
<ci> dE </ci>
</apply>
<ci> h </ci>
</apply>
</apply>
<apply><plus/>
<apply><power/>
<ci> Km_LH </ci>
<ci> h </ci>
</apply>
<apply><times/>
<ci> E2 </ci>
<apply><power/>
<apply><minus/>
<ci> time </ci>
<ci> dE </ci>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><divide/>
<apply><times/>
<ci> P4 </ci>
<apply><minus/>
<ci> time </ci>
<ci> dp </ci>
</apply>
</apply>
<ci> Ki_LHP </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="rel_LH_E2_P4_RP_LH_calculation"><eq/>
<ci> rel_LH_E2_P4_RP_LH </ci>
<apply><divide/>
<apply><times/>
<ci> kLH_rel </ci>
<apply><plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times/>
<ci> CLH_P </ci>
<ci> P4 </ci>
</apply>
</apply>
<ci> RP_LH </ci>
</apply>
<apply><plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times/>
<ci> CLH_E </ci>
<ci> E2 </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="LH" cmeta:id="LH">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="LH">
<dc:title>LH</dc:title>
<dcterms:alternative>blood concentration of luteinizing hormone</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable name="LH" units="ng_ml"/>
<variable name="v_dit" initial_value="2.5" units="litre"/>
<variable name="clear_LH" units="microg_day"/>
<variable name="kLH_cl" initial_value="14.0" units="first_order_rate_constant"/>
<variable name="rel_LH_E2_P4_RP_LH" public_interface="in" units="microg_day"/>
<variable name="time" public_interface="in" units="day"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> LH </ci>
</apply>
<apply><minus/>
<apply><divide/>
<ci> rel_LH_E2_P4_RP_LH </ci>
<ci> v_dit </ci>
</apply>
<ci> clear_LH </ci>
</apply>
</apply>
<apply id="clear_LH_calculation"><eq/>
<ci> clear_LH </ci>
<apply><times/>
<ci> kLH_cl </ci>
<ci> LH </ci>
</apply>
</apply>
</math>
</component>
<component name="RP_FSH" cmeta:id="RP_FSH">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="RP_FSH">
<dc:title>RP_FSH</dc:title>
<dcterms:alternative>releasable pool of follicle-stimulating hormone</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable name="rel_FSH_E2_P4_RP_FSH" public_interface="out" units="microg_day"/>
<variable name="RP_FSH" units="ng_ml"/>
<variable name="syn_FSH_Ih" units="microg_day"/>
<variable name="V_FSH" initial_value="4400.0" units="microg_day"/>
<variable name="dIh" initial_value="2.0" units="day"/>
<variable name="Ki_FSH_Ih" initial_value="1176.5" units="U_L"/>
<variable name="kFSH_rel" initial_value="45.0" units="first_order_rate_constant"/>
<variable name="CFSH_P" initial_value="3.0" units="L_ng"/>
<variable name="CFSH_E" initial_value="0.005" units="L_ng2"/>
<variable name="Ih" public_interface="in" units="ng_L"/>
<variable name="E2" public_interface="in" units="ng_L"/>
<variable name="P4" public_interface="in" units="nmol_L"/>
<variable name="time" public_interface="in" units="day"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> RP_FSH </ci>
</apply>
<apply><minus/>
<ci> syn_FSH_Ih </ci>
<ci> rel_FSH_E2_P4_RP_FSH </ci>
</apply>
</apply>
<apply id="syn_FSH_Ih_calculation"><eq/>
<ci> syn_FSH_Ih </ci>
<apply><divide/>
<ci> V_FSH </ci>
<apply><plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><divide/>
<apply><times/>
<ci> Ih </ci>
<apply><minus/>
<ci> time </ci>
<ci> dIh </ci>
</apply>
</apply>
<ci> Ki_FSH_Ih </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="rel_FSH_E2_P4_RP_FSH_calculation"><eq/>
<ci> rel_FSH_E2_P4_RP_FSH </ci>
<apply><divide/>
<apply><times/>
<ci> kFSH_rel </ci>
<apply><plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times/>
<ci> CFSH_P </ci>
<ci> P4 </ci>
</apply>
</apply>
<ci> RP_FSH </ci>
</apply>
<apply><plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times/>
<ci> CFSH_E </ci>
<ci> E2 </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="FSH" cmeta:id="FSH">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="FSH">
<dc:title>FSH</dc:title>
<dcterms:alternative>blood concentration of follicle-stimulating hormone</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable name="FSH" units="ng_ml"/>
<variable name="v_dis" initial_value="2.5" units="litre"/>
<variable name="clear_FSH" units="microg_day"/>
<variable name="kFSH_cl" initial_value="8.21" units="first_order_rate_constant"/>
<variable name="rel_FSH_E2_P4_RP_FSH" public_interface="in" units="microg_day"/>
<variable name="time" public_interface="in" units="day"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> FSH </ci>
</apply>
<apply><minus/>
<apply><divide/>
<ci> rel_FSH_E2_P4_RP_FSH </ci>
<ci> v_dis </ci>
</apply>
<ci> clear_FSH </ci>
</apply>
</apply>
<apply id="clear_FSH_calculation"><eq/>
<ci> clear_FSH </ci>
<apply><times/>
<ci> kFSH_cl </ci>
<ci> FSH </ci>
</apply>
</apply>
</math>
</component>
<component name="E2" cmeta:id="E2">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="E2">
<dc:title>E2</dc:title>
<dcterms:alternative>estradiol</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable name="E2" public_interface="out" units="ng_L"/>
<variable name="time" public_interface="in" units="day"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> E2 </ci>
</apply>
<apply><plus/>
<apply><minus/>
<cn cellml:units="ng_L"> 300.0 </cn>
<apply><divide/>
<apply><times/>
<cn cellml:units="dimensionless"> 240.0 </cn>
<apply><power/>
<apply><plus/>
<ci> time </ci>
<cn cellml:units="day"> 1.0 </cn>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply><plus/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<apply><power/>
<apply><plus/>
<ci> time </ci>
<cn cellml:units="day"> 1.0 </cn>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply><times/>
<cn cellml:units="dimensionless"> 90.0 </cn>
<apply><exp/>
<apply><minus/>
<apply><divide/>
<apply><power/>
<apply><minus/>
<ci> time </ci>
<cn cellml:units="day"> 8.0 </cn>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<cn cellml:units="dimensionless"> 18.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="P4" cmeta:id="P4">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="P4">
<dc:title>P4</dc:title>
<dcterms:alternative>progesterone</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable name="P4" public_interface="out" units="nmol_L"/>
<variable name="time" public_interface="in" units="day"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> P4 </ci>
</apply>
<apply><times/>
<cn cellml:units="dimensionless"> 52.0 </cn>
<apply><exp/>
<apply><minus/>
<apply><divide/>
<apply><power/>
<apply><minus/>
<ci> time </ci>
<cn cellml:units="day"> 7.0 </cn>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<cn cellml:units="dimensionless"> 18.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
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Schlosser and Selgrade's 2000 mathematical model of gonadotropin regulation during the menstrual cycle in women.
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This is the CellML description of Schlosser and Selgrade's 2000 mathematical model of gonadotropin regulation during the menstrual cycle in women.
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The University of Auckland, Bioengineering Institute
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A model of gonadotropin regulation during the menstrual cycle in women: qualitative features
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