The validity of the Michaelis-Menten-Briggs-Haldane approximation for single enzyme reactions has recently been improved by the formalism of the total quasi-steady-state approximation. This approach is here extended to fully competitive systems, and a criterion for its validity is provided. We show that it extends the Michaelis-Menten-Briggs-Haldane approximation for such systems for a wide range of parameters very convincingly, and investigate special cases. It is demonstrated that our method is at least roughly valid in the case of identical affinities. The results presented should be useful for numerical simulations of many in vivo reactions.
The total quasi-steady-state approximation for fully competitive enzyme reactions / Bersani, Alberto Maria; M. G., Pedersen; E., Bersani. - In: BULLETIN OF MATHEMATICAL BIOLOGY. - ISSN 0092-8240. - STAMPA. - 69:1(2007), pp. 433-457. [10.1007/s11538-006-9136-2]
The total quasi-steady-state approximation for fully competitive enzyme reactions
BERSANI, Alberto Maria;
2007
Abstract
The validity of the Michaelis-Menten-Briggs-Haldane approximation for single enzyme reactions has recently been improved by the formalism of the total quasi-steady-state approximation. This approach is here extended to fully competitive systems, and a criterion for its validity is provided. We show that it extends the Michaelis-Menten-Briggs-Haldane approximation for such systems for a wide range of parameters very convincingly, and investigate special cases. It is demonstrated that our method is at least roughly valid in the case of identical affinities. The results presented should be useful for numerical simulations of many in vivo reactions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
