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Multisubstrate michaelis-menten kinetics - explicit dependence of substrate concentration on time for batch reactors

dc.contributor.authorCosta, R. M.
dc.contributor.authorMalcata, F. X.
dc.date.accessioned2011-09-15T08:30:45Z
dc.date.available2011-09-15T08:30:45Z
dc.date.issued1994
dc.description.abstractThe problem of expressing the concentration of each of a set of substrates in a batch reactor as an explicit function of time in the case the multisubstrate system is described by Michaelis-Menten kinetics is tackled in dimensionless form via expansion as a Taylor series. The general analytical form for the coefficients of this expansion is obtained and estimates of the average quadratic error associated with increasing number of terms of the expansion is calculated. Considering the situation where the concentration of all substrates varies in a similar fashion, one concludes that use of four terms yields errors well within the range acceptable for predesign steps. In addition to other applications, the reasoning developed here finds applications in the statistical design and analysis of experiments aiming at the nonlinear fitting of kinetic parameters to actual data.por
dc.identifier.citationCOSTA, R. M. ; MALCATA, F. X. - Multisubstrate Michaëlis-Menten kinetics: Explicit dependence of substrate concentration on time for batch reactors. Bioprocess and Biosystems Engineering. ISSN 1615-7605. 10:4 (1994) 155-159por
dc.identifier.doi10.1007/BF00387523
dc.identifier.urihttp://hdl.handle.net/10400.14/5580
dc.identifier.wosA1994NH30200002
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringer Verlagpor
dc.titleMultisubstrate michaelis-menten kinetics - explicit dependence of substrate concentration on time for batch reactorspor
dc.typejournal article
dspace.entity.typePublication
person.familyNameMachado da Costa
person.familyNameMalcata
person.givenNameRui Manuel
person.givenNameFrancisco
person.identifier.ciencia-id861C-574D-2760
person.identifier.ciencia-id1B13-38A5-35F5
person.identifier.orcid0000-0003-2488-0914
person.identifier.orcid0000-0003-3073-1659
person.identifier.ridF-9414-2014
person.identifier.scopus-author-id35317128100
person.identifier.scopus-author-id7102542478
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationa133e1eb-a133-41d3-b2d0-2dce32d850b9
relation.isAuthorOfPublicationa06c00da-0e2f-4434-8ede-4d7b22c0dfe9
relation.isAuthorOfPublication.latestForDiscoverya06c00da-0e2f-4434-8ede-4d7b22c0dfe9

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