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0343042458
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note
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167 is the effective equilibrium constant for phosphorylation of the activating residue thr-167 of MPF.
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0343914084
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note
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The general physiological significance of the oscillatory regime has been questioned by Thron [9], who argues that bistability and excitability are more typical dynamical behaviors for the cell cycle than limit cycles. However, even if the pieces of the cell cycle control system display only stable steady states, it may be that the overall system displays limit cycle behavior, as argued by Goldbeter and co-workers [10]. Since the conclusions of our study depend very little on the detailed kinetics used, our results can reasonably be expected to extend to the more complex situation of a limit cycle built up from bistable or excitable circuit elements or, for that matter, to completely unrelated natural or technological systems in which on-off switching operates.
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0342608324
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note
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The regions of expansion and contraction are bounded by the curve in the u × v plane on which the real part of the leading eigenvalue of the Jacobian is zero. Equivalently, this is the locus of points at which the divergence of the flow is zero.
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0343042447
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on time units have elapsed, a transition from the on to the off state is forced. Similar comments can obviously be made for switching from the off to the on state. Calculations reported elsewhere [M. R. Roussel and J. Wang (to be published)] indicate that the results are not very sensitive to the details of the stochastic process which generates variability.
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