Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.14/5956
Título: Why nature has elected Michaelis-Menten kinetics for enzymes: a tentative rationale from variational calculus
Autor: Carvalho, Ana P.
Malcata, F. Xavier
Data: 1996
Editora: Taylor & Francis
Citação: CARVALHO, 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. 689-696
Resumo: The 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.
Peer review: yes
URI: http://hdl.handle.net/10400.14/5956
Aparece nas colecções:ESB - Artigos em revistas internacionais com Arbitragem / Papers in international journals with Peer-review

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