Waiting Cycle Times and Generalized Haldane Equality in the Steady-state Cycle Kinetics of Single Enzymes
| dc.creator | Ge, Hao | |
| dc.date | 2009-04-15 | |
| dc.date.accessioned | 2026-07-07T13:04:11Z | |
| dc.date.available | 2026-07-07T13:04:11Z | |
| dc.description | Enzyme kinetics are cyclic. A more realistic reversible three-step mechanism of the Michaelis-Menten kinetics is investigated in detail, and three kinds of waiting cycle times $T$, $T_{+}$, $T_{-}$ are defined. It is shown that the mean waiting cycle times $<T>$, $<T_{+}>$, and $<T_{-}>$ are the reciprocal of the steady-state cycle flux $J^{ss}$, the forward steady-state cycle flux $J^{ss}_{+}$ and the backward steady-state cycle flux $J^{ss}_{-}$ respectively. We also show that the distribution of $T_{+}$ conditioned on $T_{+}<T_{-}$ is identical to the distribution of $T_{-}$ conditioned on $T_{-}<T_{+}$, which is referred as generalized Haldane equality. Consequently, the mean waiting cycle time of $T_{+}$ conditioned on $T_{+}<T_{-}$ ($<T_{+}| T_{+}<T_{-}>$) and the one of $T_{-}$ conditioned on $T_{-}<T_{+}$ ($<T_{-}| T_{-}<T_{+} >$) are both just the same as $<T>$. In addition, the forward and backward stepping probabilities $p^{+},p^{-}$ are also defined and discussed, especially their relationship with the cycle fluxes and waiting cycle times. Furthermore, we extend the same results to the $n$-step cycle, and finally, experimental and theoretically based evidences are also included. | |
| dc.description | 24 pages,4 figures; in Journal of Physical Chemistry 2008 | |
| dc.identifier | https://arxiv.org/abs/0904.2255 | |
| dc.identifier | http://arxiv.org/abs/0904.2255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227072 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Chemical Physics | |
| dc.title | Waiting Cycle Times and Generalized Haldane Equality in the Steady-state Cycle Kinetics of Single Enzymes | |
| dc.type | text |