Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time

Detalhes bibliográficos
Autor(a) principal: Freitas, A. Cristina
Data de Publicação: 1993
Outros Autores: Malcata, F. Xavier
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.14/6700
Resumo: The nonlinear dependence of the rate expressions associated with enzymecatalysed reactions on the concentration of substrate implies that the corresponding integrated form of the substrate mass balance in a batch reactor cannot be expressed as an explicit function of time..This paper addresses this problem for the classical case of Michaelis—Menten kinetics by providing a self-pacing exploration of the characteristics of a Taylor expansion of the substrate concentration on time. The accuracy of such an approximation is discussed. The procedure presented is appropriate to model situations of technological and practical interest.
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spelling Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction timeThe nonlinear dependence of the rate expressions associated with enzymecatalysed reactions on the concentration of substrate implies that the corresponding integrated form of the substrate mass balance in a batch reactor cannot be expressed as an explicit function of time..This paper addresses this problem for the classical case of Michaelis—Menten kinetics by providing a self-pacing exploration of the characteristics of a Taylor expansion of the substrate concentration on time. The accuracy of such an approximation is discussed. The procedure presented is appropriate to model situations of technological and practical interest.Taylor & FrancisVeritati - Repositório Institucional da Universidade Católica PortuguesaFreitas, A. CristinaMalcata, F. Xavier2011-10-21T14:53:24Z19931993-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.14/6700engFREITAS, A. Cristina ; MALCATA, F. Xavier - Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time. International Journal of Mathematical Education in Science and Technology. ISSN 0020-739X. 24:4 (1993) 527 - 539info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-12T17:11:11Zoai:repositorio.ucp.pt:10400.14/6700Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:06:14.458148Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
title Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
spellingShingle Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
Freitas, A. Cristina
title_short Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
title_full Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
title_fullStr Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
title_full_unstemmed Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
title_sort Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time
author Freitas, A. Cristina
author_facet Freitas, A. Cristina
Malcata, F. Xavier
author_role author
author2 Malcata, F. Xavier
author2_role author
dc.contributor.none.fl_str_mv Veritati - Repositório Institucional da Universidade Católica Portuguesa
dc.contributor.author.fl_str_mv Freitas, A. Cristina
Malcata, F. Xavier
description The nonlinear dependence of the rate expressions associated with enzymecatalysed reactions on the concentration of substrate implies that the corresponding integrated form of the substrate mass balance in a batch reactor cannot be expressed as an explicit function of time..This paper addresses this problem for the classical case of Michaelis—Menten kinetics by providing a self-pacing exploration of the characteristics of a Taylor expansion of the substrate concentration on time. The accuracy of such an approximation is discussed. The procedure presented is appropriate to model situations of technological and practical interest.
publishDate 1993
dc.date.none.fl_str_mv 1993
1993-01-01T00:00:00Z
2011-10-21T14:53:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.14/6700
url http://hdl.handle.net/10400.14/6700
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv FREITAS, A. Cristina ; MALCATA, F. Xavier - Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time. International Journal of Mathematical Education in Science and Technology. ISSN 0020-739X. 24:4 (1993) 527 - 539
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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