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Why nature has elected Michaelis-Menten kinetics for enzymes: a tentative rationale from variational calculus

dc.contributor.authorCarvalho, Ana P.
dc.contributor.authorMalcata, F. Xavier
dc.date.accessioned2011-10-11T12:03:12Z
dc.date.available2011-10-11T12:03:12Z
dc.date.issued1996
dc.description.abstractThe kinetic performance of enzymes, the catalysts designed by nature to accelerate the chemical reactions that support life, has traditionally been described in terms of a rate expression first derived by Michaelis and Menten in the beginning of this century. Why nature has selected such kinetic behaviour remains, however, a mystery. A tentative rationale based on Euler's equation was developed and, after having eliminated functional forms due to physico-chemical unfeasibility, a final open-form objective function (written as an infinite series and including dependencies on the substrate concentration, on the reaction rate, and on the derivative thereof with respect to concentration) is found. The integral of such an objective function is maximized by Michaelis-Menten kinetics and yields its maximum value when the upper integration limit is roughly equal to the Michaelis-Menten constant.por
dc.identifier.citationCARVALHO, Ana P. ; MALCATA, F. Xavier - Why nature has elected Michaelis-Menten kinetics for enzymes: a tentative rationale from variational calculus. International Journal of Mathematical Education in Science and Technology. ISSN 1464-5211. Vol. 28, n.º 5 (1997), p. 689-696por
dc.identifier.urihttp://hdl.handle.net/10400.14/5956
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherTaylor & Francispor
dc.titleWhy nature has elected Michaelis-Menten kinetics for enzymes: a tentative rationale from variational calculuspor
dc.typejournal article
dspace.entity.typePublication
person.familyNameCarvalho
person.familyNameMalcata
person.givenNameAna
person.givenNameFrancisco
person.identifierK-5479-2013
person.identifier.ciencia-id6F1E-301F-71BA
person.identifier.ciencia-id1B13-38A5-35F5
person.identifier.orcid0000-0001-5967-4200
person.identifier.orcid0000-0003-3073-1659
person.identifier.ridK-5479-2013
person.identifier.scopus-author-id36855267200
person.identifier.scopus-author-id7102542478
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication61e93e5c-d206-455d-84cb-d5cbc048ee5b
relation.isAuthorOfPublicationa06c00da-0e2f-4434-8ede-4d7b22c0dfe9
relation.isAuthorOfPublication.latestForDiscovery61e93e5c-d206-455d-84cb-d5cbc048ee5b

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