Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems

Detalhes bibliográficos
Autor(a) principal: Malcata, F. Xavier
Data de Publicação: 1993
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.14/5953
Resumo: The necessary and sufficient condition associated with the maximum absolute error arising from the simulation of a biochemical reaction occurring in a batch multi-substrate system as if it were equivalent to a system with a pseudo single substrate is presented. The kinetics of the reaction catalyzed by the soluble enzyme is assumed to be described by a Michaelis-Menten rate equation in the absence of enzyme deactivation, whereas the batch system is assumed to be perfectly mixed. The relevance of the analysis is due to the fact that monitoring the concentration of multiple species in a reaction system (as, in principIe, required for controlling purposes) is often technically andfor economically unfeasible especially on the industrial scale. Hence, the strategy reported is useful during the pre-design steps of enzymatic batch reactors as an aid for the decision of whether or not to use complex analytical equipment. According to the analysis described, the appropriateness of the lumped substrate approach needs evaluation at a single point using an algorithm which is of straightforward implementation.
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spelling Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systemsThe necessary and sufficient condition associated with the maximum absolute error arising from the simulation of a biochemical reaction occurring in a batch multi-substrate system as if it were equivalent to a system with a pseudo single substrate is presented. The kinetics of the reaction catalyzed by the soluble enzyme is assumed to be described by a Michaelis-Menten rate equation in the absence of enzyme deactivation, whereas the batch system is assumed to be perfectly mixed. The relevance of the analysis is due to the fact that monitoring the concentration of multiple species in a reaction system (as, in principIe, required for controlling purposes) is often technically andfor economically unfeasible especially on the industrial scale. Hence, the strategy reported is useful during the pre-design steps of enzymatic batch reactors as an aid for the decision of whether or not to use complex analytical equipment. According to the analysis described, the appropriateness of the lumped substrate approach needs evaluation at a single point using an algorithm which is of straightforward implementation.Taylor & FrancisVeritati - Repositório Institucional da Universidade Católica PortuguesaMalcata, F. Xavier2011-10-11T11:53:06Z19931993-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.14/5953engMALCATA, F. Xavier - Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems. International Journal of Mathematical Education in Science and Technology. ISSN: 0020-739X. 24:1 (1993) 27-3310.1080/0020739930240104info: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:10400.14/5953Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:06:14.338845Repositório 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 Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
title Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
spellingShingle Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
Malcata, F. Xavier
title_short Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
title_full Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
title_fullStr Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
title_full_unstemmed Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
title_sort Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
author Malcata, F. Xavier
author_facet Malcata, F. Xavier
author_role author
dc.contributor.none.fl_str_mv Veritati - Repositório Institucional da Universidade Católica Portuguesa
dc.contributor.author.fl_str_mv Malcata, F. Xavier
description The necessary and sufficient condition associated with the maximum absolute error arising from the simulation of a biochemical reaction occurring in a batch multi-substrate system as if it were equivalent to a system with a pseudo single substrate is presented. The kinetics of the reaction catalyzed by the soluble enzyme is assumed to be described by a Michaelis-Menten rate equation in the absence of enzyme deactivation, whereas the batch system is assumed to be perfectly mixed. The relevance of the analysis is due to the fact that monitoring the concentration of multiple species in a reaction system (as, in principIe, required for controlling purposes) is often technically andfor economically unfeasible especially on the industrial scale. Hence, the strategy reported is useful during the pre-design steps of enzymatic batch reactors as an aid for the decision of whether or not to use complex analytical equipment. According to the analysis described, the appropriateness of the lumped substrate approach needs evaluation at a single point using an algorithm which is of straightforward implementation.
publishDate 1993
dc.date.none.fl_str_mv 1993
1993-01-01T00:00:00Z
2011-10-11T11:53:06Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.14/5953
url http://hdl.handle.net/10400.14/5953
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv MALCATA, F. Xavier - Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems. International Journal of Mathematical Education in Science and Technology. ISSN: 0020-739X. 24:1 (1993) 27-33
10.1080/0020739930240104
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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