<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2007-8196</journal-id>
<journal-title><![CDATA[Epistemus (Sonora)]]></journal-title>
<abbrev-journal-title><![CDATA[Epistemus (Sonora)]]></abbrev-journal-title>
<issn>2007-8196</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Sonora, División de Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-81962023000200026</article-id>
<article-id pub-id-type="doi">10.36790/epistemus.v17i35.289</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Análisis de imagen y modelaje matemático para la determinación de distribuciones de partículas]]></article-title>
<article-title xml:lang="en"><![CDATA[Image Analysis and Mathematical Modeling for the Determination of Particle Distributions]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[López Martinez]]></surname>
<given-names><![CDATA[Jessica]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Andrade Martinez]]></surname>
<given-names><![CDATA[Jonatan]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alvarado Macías]]></surname>
<given-names><![CDATA[Gabriela]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Espinosa Serrano]]></surname>
<given-names><![CDATA[Erik]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Nava Gómez]]></surname>
<given-names><![CDATA[Dora Patricia]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rosales Marín]]></surname>
<given-names><![CDATA[Gilberto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Unidad Académica Multidisciplinaria Unidad Académica Multidisciplinaria ]]></institution>
<addr-line><![CDATA[Matehuala San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Coordinación Académico Coordinación Académico ]]></institution>
<addr-line><![CDATA[Matehuala San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Ingeniería de Minerales Ingeniería de Minerales ]]></institution>
<addr-line><![CDATA[Matehuala San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Ingeniería de Minerales Ingeniería de Minerales ]]></institution>
<addr-line><![CDATA[Matehuala San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Ingeniería de Minerales Ingeniería de Minerales ]]></institution>
<addr-line><![CDATA[Matehuala San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af6">
<institution><![CDATA[,Universidad Autónoma de San Luís Potosí Ingeniería de Minerales ]]></institution>
<addr-line><![CDATA[Matehuala San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2023</year>
</pub-date>
<volume>17</volume>
<numero>35</numero>
<fpage>26</fpage>
<lpage>33</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-81962023000200026&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-81962023000200026&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-81962023000200026&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La distribución de partículas es considerada una de las principales herramientas para el control en las distintas operaciones unitarias relacionadas al procesamiento de minerales. En las etapas de trituración y molienda esta técnica nos permite conocer el cómo ocurre la liberación del mineral valioso de la ganga, así como determinar los balances de materia. En el presente trabajo técnicas de análisis de imagen, el modelo de distribución de Weibull doble, así como propiedades físicas de un mineral de sílice, son empleadas para determinar una distribución granulométrica en estado estacionario. Para tal fin, la distribución de partículas determinada experimentalmente mediante el uso de mallas convencionales (Tipo Tyler) fue comparada con la obtenida mediante los fotogramas. El modelo de Weibull fue usado para ajustar matemáticamente la distribución obtenida mediante los fotogramas. El ajuste demostró ser una herramienta que permite determinar mediante el análisis de imagen una distribución granulométrica confiable, debido a que el error (SSE) es 1.3.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Particle distribution is considered one of the main tools for control in the different unit operations related to mineral processing. In the crushing and grinding stages, this technique allows us to know the procedures involved in particle reduction processes as well as to determine the material balances within. In the present work, image analysis techniques, Weibull distribution model, as well as physical properties of a silica mineral that are used to determine a steady-state particle size distribution. For this purpose, the particle size distribution experimentally determined through the use of conventional meshes (Tyler Type) later compared with that obtained by means of frames. The Weibull model was used to mathematically fit the distribution obtained through the frames. The adaptations proved to be an aid that allows determining a reliable granulometric distribution through image analysis due to the fact that the error (SSE) is 1.3.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Distribución de partículas]]></kwd>
<kwd lng="es"><![CDATA[Modelado matemático]]></kwd>
<kwd lng="es"><![CDATA[Procesamiento de Minerales]]></kwd>
<kwd lng="es"><![CDATA[Análisis de Imagen]]></kwd>
<kwd lng="en"><![CDATA[Particle Size Distribution]]></kwd>
<kwd lng="en"><![CDATA[Mathematical Modeling]]></kwd>
<kwd lng="en"><![CDATA[Mineral Processing]]></kwd>
<kwd lng="en"><![CDATA[Image Analysis]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Al-Thyabat]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Miles]]></surname>
<given-names><![CDATA[N.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An improved estimation of size distribution from particle profile measurements]]></article-title>
<source><![CDATA[Journal of Powder Technology]]></source>
<year>2006</year>
<volume>20</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>72-83</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Al-Thyabat]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Miles]]></surname>
<given-names><![CDATA[N.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Koh]]></surname>
<given-names><![CDATA[T.S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estimation of the size distribution of particles moving on a conveyor belt]]></article-title>
<source><![CDATA[Journal of Powder Technology]]></source>
<year>2006</year>
<volume>20</volume>
<page-range>155-60</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mangold]]></surname>
<given-names><![CDATA[Michael]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Use of a Kalman filter to reconstruct particle size distributions from FBRM measurements]]></article-title>
<source><![CDATA[Journal of Chemical Engineering Science]]></source>
<year>2011</year>
<volume>70</volume>
<page-range>99-108</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ko]]></surname>
<given-names><![CDATA[Young-Don]]></given-names>
</name>
<name>
<surname><![CDATA[Shang]]></surname>
<given-names><![CDATA[Helen]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A neural network-based soft sensor for particle size distribution using image analysis]]></article-title>
<source><![CDATA[Journal of Powder Technology]]></source>
<year>2011</year>
<volume>212</volume>
<page-range>303-82</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wi&#261;cek,]]></surname>
<given-names><![CDATA[Joanna]]></given-names>
</name>
<name>
<surname><![CDATA[Molenda]]></surname>
<given-names><![CDATA[Marek]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Effect of particle size distribution on micro- and macromechanical response of granular packings under compression]]></article-title>
<source><![CDATA[International Journal of Solids and Structures]]></source>
<year>2014</year>
<volume>51</volume>
<numero>25-26</numero>
<issue>25-26</issue>
<page-range>4189-95</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Terence]]></surname>
<given-names><![CDATA[Allen]]></given-names>
</name>
</person-group>
<source><![CDATA[Particle Size Measurement]]></source>
<year>1981</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Chapman and Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<source><![CDATA[Testing Sieves And Their Uses]]></source>
<year>1982</year>
<edition>Edition: Splitring</edition>
<page-range>1053-106</page-range><publisher-name><![CDATA[W.S. Tyler lncorporated]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lai]]></surname>
<given-names><![CDATA[Chin-Diew]]></given-names>
</name>
<name>
<surname><![CDATA[Murthy]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Xie]]></surname>
<given-names><![CDATA[Min]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Chapter 3]]></article-title>
<source><![CDATA[Weibull Distributions and Their Applications]]></source>
<year>2006</year>
<page-range>63-78</page-range><publisher-name><![CDATA[Springer Handbook of Engineering Statistics]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hallinan]]></surname>
<given-names><![CDATA[A. J. Jr.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A review of the Weibull distribution]]></article-title>
<source><![CDATA[J. Qual. Technol.]]></source>
<year>1993</year>
<volume>25</volume>
<page-range>85-93</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Johnson]]></surname>
<given-names><![CDATA[N. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Kotz]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Balakrishnan]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<source><![CDATA[Continuous Univariate Distributions]]></source>
<year>1994</year>
<volume>1</volume>
<edition>2nd</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Murthy]]></surname>
<given-names><![CDATA[D. N. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Xie]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Jiang]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Weibull Models]]></source>
<year>2003</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rosales-Marín]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Delgadillo]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Tuzcu]]></surname>
<given-names><![CDATA[E. T.]]></given-names>
</name>
<name>
<surname><![CDATA[Pérez-Alonso]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Prediction of a piston-die press product using batch population balance model]]></article-title>
<source><![CDATA[Asia-Pac. J. Chem. Eng.]]></source>
<year>2016</year>
<volume>11</volume>
<page-range>1035-50</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shanthi]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Porpatham]]></surname>
<given-names><![CDATA[R. Kingsley]]></given-names>
</name>
<name>
<surname><![CDATA[Pappa]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Image analysis for particle size distribution]]></article-title>
<source><![CDATA[Int. J. Eng. Technol.]]></source>
<year>2014</year>
<volume>6</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>1340-5</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
