<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01646786</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-22T13:36:11+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Numerical integration of an erythropoiesis model with explicit growth factor dynamics</title>
            <author role="aut">
              <persName>
                <forename type="first">Oscar</forename>
                <surname>Angulo</surname>
              </persName>
              <idno type="halauthorid">670838-0</idno>
              <affiliation ref="#struct-157280"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Fabien</forename>
                <surname>Crauste</surname>
              </persName>
              <email type="md5">d281f82bd67f490f3c44d61086e52ab5</email>
              <email type="domain">math.cnrs.fr</email>
              <idno type="idhal" notation="string">fabien-crauste</idno>
              <idno type="idhal" notation="numeric">9464</idno>
              <idno type="halauthorid" notation="string">1160-9464</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-9979-9638</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=pAmXnd4AAAAJ&amp;hl=fr&amp;authuser=1</idno>
              <idno type="IDREF">https://www.idref.fr/090210301</idno>
              <orgName ref="#struct-441569"/>
              <affiliation ref="#struct-193738"/>
              <affiliation ref="#struct-108959"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Juan Carlos</forename>
                <surname>López-Marcos</surname>
              </persName>
              <idno type="halauthorid">797536-0</idno>
              <affiliation ref="#struct-157280"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Fabien</forename>
                <surname>Crauste</surname>
              </persName>
              <email type="md5">d281f82bd67f490f3c44d61086e52ab5</email>
              <email type="domain">math.cnrs.fr</email>
            </editor>
            <funder ref="#projanr-31810"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2017-12-01 13:43:14</date>
              <date type="whenModified">2026-04-23 14:50:05</date>
              <date type="whenReleased">2017-12-01 15:50:42</date>
              <date type="whenProduced">2018-03</date>
              <date type="whenEndEmbargoed">2017-12-01</date>
              <ref type="file" target="https://inria.hal.science/hal-01646786v1/document">
                <date notBefore="2017-12-01"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-01646786v1/file/Angulo-LopezMarcos-Crauste-JCAM-2017.pdf" id="file-1653381-1696056">
                <date notBefore="2017-12-01"/>
              </ref>
              <ref type="externalLink" target="https://hal.inria.fr/hal-01646786/file/Angulo-LopezMarcos-Crauste-JCAM-2017.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="135130">
                <persName>
                  <forename>Fabien</forename>
                  <surname>Crauste</surname>
                </persName>
                <email type="md5">d281f82bd67f490f3c44d61086e52ab5</email>
                <email type="domain">math.cnrs.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01646786</idno>
            <idno type="halUri">https://inria.hal.science/hal-01646786</idno>
            <idno type="halBibtex">angulo:hal-01646786</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Computational and Applied Mathematics&lt;/i&gt;, 2018, 330, pp.770 - 782. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.cam.2017.01.033"&gt;&amp;#x27E8;10.1016/j.cam.2017.01.033&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Computational and Applied Mathematics, 2018, 330, pp.770 - 782. &amp;#x27E8;10.1016/j.cam.2017.01.033&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1653381-1696056"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-ST-ETIENNE">Université Jean Monnet - Saint-Etienne</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="ICJ" corresp="UNIV-LYON1">Institut Camille Jordan</idno>
            <idno type="stamp" n="UNIV-LYON1">Université Claude Bernard - Lyon I</idno>
            <idno type="stamp" n="INSA-LYON">Institut National des Sciences Appliquées de Lyon</idno>
            <idno type="stamp" n="EC-LYON">Ecole Centrale de Lyon</idno>
            <idno type="stamp" n="INRIA-RHA">INRIA Grenoble - Rhône-Alpes</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="CGPHIMC">Centre de génétique et de physiologie moléculaire et céllulaire</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="ICJ-DRACULA" corresp="ICJ">Multi-scale modelling of cell dynamics: application to hematopoiesis</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="UDL">UDL</idno>
            <idno type="stamp" n="UNIV-LYON">Université de Lyon</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="INRIAARTDOI">INRIAARTDOI</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Numerical integration of an erythropoiesis model with explicit growth factor dynamics</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Oscar</forename>
                    <surname>Angulo</surname>
                  </persName>
                  <idno type="halauthorid">670838-0</idno>
                  <affiliation ref="#struct-157280"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Fabien</forename>
                    <surname>Crauste</surname>
                  </persName>
                  <email type="md5">d281f82bd67f490f3c44d61086e52ab5</email>
                  <email type="domain">math.cnrs.fr</email>
                  <idno type="idhal" notation="string">fabien-crauste</idno>
                  <idno type="idhal" notation="numeric">9464</idno>
                  <idno type="halauthorid" notation="string">1160-9464</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-9979-9638</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=pAmXnd4AAAAJ&amp;hl=fr&amp;authuser=1</idno>
                  <idno type="IDREF">https://www.idref.fr/090210301</idno>
                  <orgName ref="#struct-441569"/>
                  <affiliation ref="#struct-193738"/>
                  <affiliation ref="#struct-108959"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Juan Carlos</forename>
                    <surname>López-Marcos</surname>
                  </persName>
                  <idno type="halauthorid">797536-0</idno>
                  <affiliation ref="#struct-157280"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">15271</idno>
                <idno type="issn">0377-0427</idno>
                <title level="j">Journal of Computational and Applied Mathematics</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">330</biblScope>
                  <biblScope unit="pp">770 - 782</biblScope>
                  <date type="datePub">2018-03</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.cam.2017.01.033</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Long-time integration</term>
                <term xml:lang="en">Numerical scheme</term>
                <term xml:lang="en">Nonlinear age-structured system</term>
                <term xml:lang="en">Erythropoiesis model</term>
              </keywords>
              <classCode scheme="classification">MSC :  65M25 ;  35B40 ; 35L60 ;  35Q92 ;  92D25</classCode>
              <classCode scheme="halDomain" n="math.math-ap">Mathematics [math]/Analysis of PDEs [math.AP]</classCode>
              <classCode scheme="halDomain" n="sdv.bibs">Life Sciences [q-bio]/Quantitative Methods [q-bio.QM]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Erythropoiesis, the red blood cell production process, involves interactions between cell populations with different differentiation states, mainly immature progenitor cells and mature erythrocytes, and growth factors such as erythropoietin and glucocorticoids, known to respectively inhibit cell apoptosis, stimulate proliferation and differentiation, and stimulate self-renewal. The feedback regulation of this process allows a very fast and efficient recovery in the case of a severe anemia. We consider an age-structured model of red blood cell production accounting for these feedback regulations and the dynamics of growth factors. We theoretically show the existence of a unique positive steady state for the model and we propose a numerical method to obtain an approximation to its solution. Experiments are reported to show numerically, on one hand, the optimal convergence order of the numerical scheme and, on the other hand, a fine approximation to real experimental data, with a suitable selection of the parameters involved.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-157280" status="VALID">
          <orgName>Departamento de Matemática Aplicada [Valladolid]</orgName>
          <orgName type="acronym">MA</orgName>
          <desc>
            <address>
              <addrLine>Universidad de Valladolid Departamento de Matemática Aplicada, Facultad de Ciencias 47011 Valladolid</addrLine>
              <country key="ES"/>
            </address>
            <ref type="url">http://www.ma.uva.es/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-93172" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-193738" status="VALID">
          <idno type="IdRef">111872227</idno>
          <idno type="ISNI">0000000403832988</idno>
          <idno type="RNSR">200511878U</idno>
          <idno type="ROR">https://ror.org/01ekw7f87</idno>
          <orgName>Institut Camille Jordan</orgName>
          <orgName type="acronym">ICJ</orgName>
          <date type="start">2005-01-01</date>
          <desc>
            <address>
              <addrLine>Bât. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://math.univ-lyon1.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-126765" type="direct"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation active="#struct-194495" type="direct"/>
            <relation active="#struct-219748" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-300284" type="direct"/>
            <relation active="#struct-1327915" type="indirect"/>
            <relation name="UMR5208" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-108959" status="OLD">
          <idno type="RNSR">201020961V</idno>
          <orgName>Multi-scale modelling of cell dynamics : application to hematopoiesis</orgName>
          <orgName type="acronym">DRACULA</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>Institut Camille Jordan Université Claude Bernard Lyon 1 43 boulevard du 11 novembre 1918 69622 Villeurbanne cedex France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/dracula</ref>
          </desc>
          <listRelation>
            <relation active="#struct-711" type="direct"/>
            <relation active="#struct-194495" type="indirect"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation name="UMR5534" active="#struct-441569" type="indirect"/>
            <relation active="#struct-2497" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-193738" type="direct"/>
            <relation active="#struct-126765" type="indirect"/>
            <relation active="#struct-219748" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-300284" type="indirect"/>
            <relation active="#struct-1327915" type="indirect"/>
            <relation name="UMR5208" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-93172" status="VALID">
          <idno type="IdRef">02743740X</idno>
          <idno type="ISNI">0000000122865329</idno>
          <idno type="ROR">https://ror.org/01fvbaw18</idno>
          <idno type="Wikidata">Q768224</idno>
          <orgName>Universidad de Valladolid = Universidade de Valladolid = Valladolideko Unibertsitatea = University of Valladolid = Université de Valladolid</orgName>
          <orgName type="acronym">UVa</orgName>
          <date type="start">1241-01-01</date>
          <desc>
            <address>
              <addrLine>Plaza de Santa Cruz 8 – 47002 Valladolid – España</addrLine>
              <country key="ES"/>
            </address>
            <ref type="url">http://www.uva.es/export/sites/uva/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-126765" status="VALID">
          <idno type="ROR">https://ror.org/05s6rge65</idno>
          <orgName>École Centrale de Lyon</orgName>
          <orgName type="acronym">ECL</orgName>
          <desc>
            <address>
              <addrLine>36 avenue Guy de Collongue - 69134 Ecully cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ec-lyon.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301088" status="VALID">
          <idno type="ROR">https://ror.org/01rk35k63</idno>
          <orgName>Université de Lyon</orgName>
          <desc>
            <address>
              <addrLine>92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-lyon.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-194495" status="VALID">
          <idno type="IdRef">026402823</idno>
          <idno type="ISNI">0000000121686185</idno>
          <idno type="ROR">https://ror.org/029brtt94</idno>
          <orgName>Université Claude Bernard Lyon 1</orgName>
          <orgName type="acronym">UCBL</orgName>
          <desc>
            <address>
              <addrLine>43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lyon1.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-219748" status="VALID">
          <idno type="IdRef">052444724</idno>
          <idno type="ISNI">0000 0001 2292 0228</idno>
          <orgName>Institut National des Sciences Appliquées de Lyon</orgName>
          <orgName type="acronym">INSA Lyon</orgName>
          <date type="start">1957-03-18</date>
          <desc>
            <address>
              <addrLine>20 Avenue Albert Einstein, 69621 Villeurbanne cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-lyon.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
            <relation active="#struct-301232" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300284" status="VALID">
          <idno type="IdRef">028209966</idno>
          <idno type="ISNI">0000 0001 2158 1682</idno>
          <idno type="ROR">https://ror.org/04yznqr36</idno>
          <idno type="Wikidata">Q623154</idno>
          <orgName>Université Jean Monnet - Saint-Étienne</orgName>
          <orgName type="acronym">UJM</orgName>
          <date type="start">1969-03-27</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>10, Rue Tréfilerie – CS 8230142023 Saint-Étienne Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-st-etienne.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1327915" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-1327915" status="VALID">
          <idno type="IdRef">285395831</idno>
          <orgName>Université Jean Monnet (EPSCPE)</orgName>
          <orgName type="acronym">UJM EPE</orgName>
          <date type="start">2025-01-01</date>
          <desc>
            <address>
              <addrLine>10 rue Tréfilerie42100 Saint-Etienne</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-st-etienne.fr/fr/index.html</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-711" status="OLD">
          <orgName>Centre de génétique et de physiologie moléculaire et cellulaire</orgName>
          <orgName type="acronym">CGPhiMC</orgName>
          <date type="start">1995-01-01</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>bat. 741 43 Bvd du 11 Novembre 1918 69622 VILLEURBANNE CEDEX</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-194495" type="direct"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation name="UMR5534" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2497" status="VALID">
          <idno type="RNSR">199218244V</idno>
          <idno type="ROR">https://ror.org/00n8d6z93</idno>
          <orgName>Centre Inria de l'Université Grenoble Alpes</orgName>
          <desc>
            <address>
              <addrLine>Inovallée655 avenue de l'Europe38330 Montbonnot</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/grenoble</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-31810" status="VALID">
          <idno type="anr">ANR-09-JCJC-0100</idno>
          <idno type="program">Jeunes chercheuses et jeunes chercheurs</idno>
          <orgName>ProCell</orgName>
          <date type="start">2009</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>