Estimation or the error implicit in modelling multisubstrate biochemical reactions as lumped-substrate systems
Autor(a) principal: | |
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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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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 |
format |
article |
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 |
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) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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