Developing a new approach for (biological) optimal control problems: Application to optimization of laccase production with a comparison between response surface methodology and novel geometric procedure.
Identifieur interne : 000078 ( Main/Exploration ); précédent : 000077; suivant : 000079Developing a new approach for (biological) optimal control problems: Application to optimization of laccase production with a comparison between response surface methodology and novel geometric procedure.
Auteurs : Zahra Ghobadi Nejad [Iran] ; Seyed Mehdi Borghei [Iran] ; Soheila Yaghmaei [Iran] ; Atefeh Hasan-Zadeh [Iran]Source :
- Mathematical biosciences [ 1879-3134 ] ; 2019.
Descripteurs français
- KwdFr :
- MESH :
- enzymologie : Phanerochaete.
- métabolisme : Laccase.
- Modèles biologiques.
English descriptors
- KwdEn :
- MESH :
- chemical , metabolism : Laccase.
- enzymology : Phanerochaete.
- Models, Biological.
Abstract
Laccase production by indigenous fungus, Phanerochaete chrysosporium, requires solving optimal problems to determine the maximum production of the enzyme within a definite time period and conditions specified in the solid-state fermentation process. For this purpose, parallel to response surface methodology, an analytical approach has been proposed based on the advanced concepts of Poisson geometry and Lie groups, which lead to a system of the Hamiltonian equations. Despite the dating of the Hamiltonian approach to solving biological problems, the novelty of this paper is based on the expression of a Hamiltonian system in notions of Poisson geometry, Lie algebras and symmetry groups and first integrals. In this way, all collected data and the variables are taken into account in their actual role in the Hamiltonian system without any limitation on their number and dimensions. Also, the Hamiltonian system obtained can be reduced by symmetry concepts of Lie algebras, which result in the exact solution of the initial optimal problem. In addition, it can be converted to Lagrangian and vice versa. The proposed approach applies to the mathematical models describing the production of biomass and lignocellulolytic enzymes, consumption of the lignocellulosic matrix, fermentation model of the Tequila production process, and the laccase production. Ultimately, a comparison between the approximate method for producing laccase using the response surface methodology and the proposed analytical method has been made.
DOI: 10.1016/j.mbs.2018.12.013
PubMed: 30576765
Affiliations:
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Box: 14515-775, Tehran, Iran.</nlm:affiliation><country xml:lang="fr">Iran</country><wicri:regionArea>Department of Natural Resources and Environment, Science and Research Branch, Islamic Azad University, P.O. Box: 14515-775, Tehran</wicri:regionArea><wicri:noRegion>Tehran</wicri:noRegion></affiliation></author><author><name sortKey="Borghei, Seyed Mehdi" sort="Borghei, Seyed Mehdi" uniqKey="Borghei S" first="Seyed Mehdi" last="Borghei">Seyed Mehdi Borghei</name><affiliation wicri:level="1"><nlm:affiliation>Department of Natural Resources and Environment, Science and Research Branch, Islamic Azad University, P.O. Box: 14515-775, Tehran, Iran; Biochemical and Bioenvironmental Research Centre, Sharif University of Technology, P. O. Box 11155-1399, Tehran, Iran. Electronic address: mborghei@sharif.edu.</nlm:affiliation><country xml:lang="fr">Iran</country><wicri:regionArea>Department of Natural Resources and Environment, Science and Research Branch, Islamic Azad University, P.O. Box: 14515-775, Tehran, Iran; Biochemical and Bioenvironmental Research Centre, Sharif University of Technology, P. O. Box 11155-1399, Tehran</wicri:regionArea><wicri:noRegion>Tehran</wicri:noRegion></affiliation></author><author><name sortKey="Yaghmaei, Soheila" sort="Yaghmaei, Soheila" uniqKey="Yaghmaei S" first="Soheila" last="Yaghmaei">Soheila Yaghmaei</name><affiliation wicri:level="1"><nlm:affiliation>Department of Chemical and Petroleum Engineering, Sharif University of Technology, P. O. Box 11365-6891, Tehran, Iran. Electronic address: Yaghmaei@sharif.edu.</nlm:affiliation><country xml:lang="fr">Iran</country><wicri:regionArea>Department of Chemical and Petroleum Engineering, Sharif University of Technology, P. O. Box 11365-6891, Tehran</wicri:regionArea><wicri:noRegion>Tehran</wicri:noRegion></affiliation></author><author><name sortKey="Hasan Zadeh, Atefeh" sort="Hasan Zadeh, Atefeh" uniqKey="Hasan Zadeh A" first="Atefeh" last="Hasan-Zadeh">Atefeh Hasan-Zadeh</name><affiliation wicri:level="1"><nlm:affiliation>Fouman Faculty of Engineering, College of Engineering, University of Tehran, P. O. Box 43581-39115, Guilan, Iran. Electronic address: hasanzadeh.a@ut.ac.ir.</nlm:affiliation><country xml:lang="fr">Iran</country><wicri:regionArea>Fouman Faculty of Engineering, College of Engineering, University of Tehran, P. O. Box 43581-39115, Guilan</wicri:regionArea><wicri:noRegion>Guilan</wicri:noRegion></affiliation></author></analytic><series><title level="j">Mathematical biosciences</title><idno type="eISSN">1879-3134</idno><imprint><date when="2019" type="published">2019</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Laccase (metabolism)</term><term>Models, Biological (MeSH)</term><term>Phanerochaete (enzymology)</term></keywords><keywords scheme="KwdFr" xml:lang="fr"><term>Laccase (métabolisme)</term><term>Modèles biologiques (MeSH)</term><term>Phanerochaete (enzymologie)</term></keywords><keywords scheme="MESH" type="chemical" qualifier="metabolism" xml:lang="en"><term>Laccase</term></keywords><keywords scheme="MESH" qualifier="enzymologie" xml:lang="fr"><term>Phanerochaete</term></keywords><keywords scheme="MESH" qualifier="enzymology" xml:lang="en"><term>Phanerochaete</term></keywords><keywords scheme="MESH" qualifier="métabolisme" xml:lang="fr"><term>Laccase</term></keywords><keywords scheme="MESH" xml:lang="en"><term>Models, Biological</term></keywords><keywords scheme="MESH" xml:lang="fr"><term>Modèles biologiques</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Laccase production by indigenous fungus, Phanerochaete chrysosporium, requires solving optimal problems to determine the maximum production of the enzyme within a definite time period and conditions specified in the solid-state fermentation process. For this purpose, parallel to response surface methodology, an analytical approach has been proposed based on the advanced concepts of Poisson geometry and Lie groups, which lead to a system of the Hamiltonian equations. Despite the dating of the Hamiltonian approach to solving biological problems, the novelty of this paper is based on the expression of a Hamiltonian system in notions of Poisson geometry, Lie algebras and symmetry groups and first integrals. In this way, all collected data and the variables are taken into account in their actual role in the Hamiltonian system without any limitation on their number and dimensions. Also, the Hamiltonian system obtained can be reduced by symmetry concepts of Lie algebras, which result in the exact solution of the initial optimal problem. In addition, it can be converted to Lagrangian and vice versa. The proposed approach applies to the mathematical models describing the production of biomass and lignocellulolytic enzymes, consumption of the lignocellulosic matrix, fermentation model of the Tequila production process, and the laccase production. Ultimately, a comparison between the approximate method for producing laccase using the response surface methodology and the proposed analytical method has been made.</div></front></TEI><pubmed><MedlineCitation Status="MEDLINE" Owner="NLM"><PMID Version="1">30576765</PMID><DateCompleted><Year>2019</Year><Month>12</Month><Day>13</Day></DateCompleted><DateRevised><Year>2019</Year><Month>12</Month><Day>17</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1879-3134</ISSN><JournalIssue CitedMedium="Internet"><Volume>309</Volume><PubDate><Year>2019</Year><Month>03</Month></PubDate></JournalIssue><Title>Mathematical biosciences</Title><ISOAbbreviation>Math Biosci</ISOAbbreviation></Journal><ArticleTitle>Developing a new approach for (biological) optimal control problems: Application to optimization of laccase production with a comparison between response surface methodology and novel geometric procedure.</ArticleTitle><Pagination><MedlinePgn>23-33</MedlinePgn></Pagination><ELocationID EIdType="pii" ValidYN="Y">S0025-5564(18)30606-0</ELocationID><ELocationID EIdType="doi" ValidYN="Y">10.1016/j.mbs.2018.12.013</ELocationID><Abstract><AbstractText>Laccase production by indigenous fungus, Phanerochaete chrysosporium, requires solving optimal problems to determine the maximum production of the enzyme within a definite time period and conditions specified in the solid-state fermentation process. For this purpose, parallel to response surface methodology, an analytical approach has been proposed based on the advanced concepts of Poisson geometry and Lie groups, which lead to a system of the Hamiltonian equations. Despite the dating of the Hamiltonian approach to solving biological problems, the novelty of this paper is based on the expression of a Hamiltonian system in notions of Poisson geometry, Lie algebras and symmetry groups and first integrals. In this way, all collected data and the variables are taken into account in their actual role in the Hamiltonian system without any limitation on their number and dimensions. Also, the Hamiltonian system obtained can be reduced by symmetry concepts of Lie algebras, which result in the exact solution of the initial optimal problem. In addition, it can be converted to Lagrangian and vice versa. The proposed approach applies to the mathematical models describing the production of biomass and lignocellulolytic enzymes, consumption of the lignocellulosic matrix, fermentation model of the Tequila production process, and the laccase production. Ultimately, a comparison between the approximate method for producing laccase using the response surface methodology and the proposed analytical method has been made.</AbstractText><CopyrightInformation>Copyright © 2018 Elsevier Inc. All rights reserved.</CopyrightInformation></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Ghobadi Nejad</LastName><ForeName>Zahra</ForeName><Initials>Z</Initials><AffiliationInfo><Affiliation>Department of Natural Resources and Environment, Science and Research Branch, Islamic Azad University, P.O. Box: 14515-775, Tehran, Iran.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Borghei</LastName><ForeName>Seyed Mehdi</ForeName><Initials>SM</Initials><AffiliationInfo><Affiliation>Department of Natural Resources and Environment, Science and Research Branch, Islamic Azad University, P.O. Box: 14515-775, Tehran, Iran; Biochemical and Bioenvironmental Research Centre, Sharif University of Technology, P. O. Box 11155-1399, Tehran, Iran. Electronic address: mborghei@sharif.edu.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Yaghmaei</LastName><ForeName>Soheila</ForeName><Initials>S</Initials><AffiliationInfo><Affiliation>Department of Chemical and Petroleum Engineering, Sharif University of Technology, P. O. Box 11365-6891, Tehran, Iran. Electronic address: Yaghmaei@sharif.edu.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Hasan-Zadeh</LastName><ForeName>Atefeh</ForeName><Initials>A</Initials><AffiliationInfo><Affiliation>Fouman Faculty of Engineering, College of Engineering, University of Tehran, P. O. Box 43581-39115, Guilan, Iran. Electronic address: hasanzadeh.a@ut.ac.ir.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType><PublicationType UI="D013485">Research Support, Non-U.S. Gov't</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2018</Year><Month>12</Month><Day>19</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Math Biosci</MedlineTA><NlmUniqueID>0103146</NlmUniqueID><ISSNLinking>0025-5564</ISSNLinking></MedlineJournalInfo><ChemicalList><Chemical><RegistryNumber>EC 1.10.3.2</RegistryNumber><NameOfSubstance UI="D042845">Laccase</NameOfSubstance></Chemical></ChemicalList><CitationSubset>IM</CitationSubset><MeshHeadingList><MeshHeading><DescriptorName UI="D042845" MajorTopicYN="N">Laccase</DescriptorName><QualifierName UI="Q000378" MajorTopicYN="Y">metabolism</QualifierName></MeshHeading><MeshHeading><DescriptorName UI="D008954" MajorTopicYN="Y">Models, Biological</DescriptorName></MeshHeading><MeshHeading><DescriptorName UI="D020075" MajorTopicYN="N">Phanerochaete</DescriptorName><QualifierName UI="Q000201" MajorTopicYN="Y">enzymology</QualifierName></MeshHeading></MeshHeadingList><KeywordList Owner="NOTNLM"><Keyword MajorTopicYN="Y">Hamiltonian system</Keyword><Keyword MajorTopicYN="Y">Laccase</Keyword><Keyword MajorTopicYN="Y">Lie algebra</Keyword><Keyword MajorTopicYN="Y">Optimal control problem</Keyword><Keyword MajorTopicYN="Y">Phanerochaete chrysosporium</Keyword><Keyword MajorTopicYN="Y">Response surface methodology</Keyword></KeywordList></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2018</Year><Month>10</Month><Day>02</Day></PubMedPubDate><PubMedPubDate PubStatus="revised"><Year>2018</Year><Month>12</Month><Day>16</Day></PubMedPubDate><PubMedPubDate PubStatus="accepted"><Year>2018</Year><Month>12</Month><Day>17</Day></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2018</Year><Month>12</Month><Day>24</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2019</Year><Month>12</Month><Day>18</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2018</Year><Month>12</Month><Day>22</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">30576765</ArticleId><ArticleId IdType="pii">S0025-5564(18)30606-0</ArticleId><ArticleId IdType="doi">10.1016/j.mbs.2018.12.013</ArticleId></ArticleIdList></PubmedData></pubmed><affiliations><list><country><li>Iran</li></country></list><tree><country name="Iran"><noRegion><name sortKey="Ghobadi Nejad, Zahra" sort="Ghobadi Nejad, Zahra" uniqKey="Ghobadi Nejad Z" first="Zahra" last="Ghobadi Nejad">Zahra Ghobadi Nejad</name></noRegion><name sortKey="Borghei, Seyed Mehdi" sort="Borghei, Seyed Mehdi" uniqKey="Borghei S" first="Seyed Mehdi" last="Borghei">Seyed Mehdi Borghei</name><name sortKey="Hasan Zadeh, Atefeh" sort="Hasan Zadeh, Atefeh" uniqKey="Hasan Zadeh A" first="Atefeh" last="Hasan-Zadeh">Atefeh Hasan-Zadeh</name><name sortKey="Yaghmaei, Soheila" sort="Yaghmaei, Soheila" uniqKey="Yaghmaei S" first="Soheila" last="Yaghmaei">Soheila Yaghmaei</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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