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Volumn 85, Issue 18, 2000, Pages 3974-3977

Synchronization by irregular inactivation

Author keywords

[No Author keywords available]

Indexed keywords

AMINO ACIDS; CELLS; CHAOS THEORY; DIFFERENTIAL EQUATIONS; ENZYMES; ESTERIFICATION; LYAPUNOV METHODS; MARKOV PROCESSES; MATHEMATICAL MODELS; RATE CONSTANTS;

EID: 0034287426     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3974     Document Type: Article
Times cited : (13)

References (35)
  • 7
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    • M. N. Obeyesekere, S. L. Tucker, and S. O. Zimmerman, Biochem. Biophys. Res. Commun. 184, 782 (1992); M. Kærn and A. Hunding, J. Theor. Biol. 193, 47 (1998); B. Novák et al., J. Theor. Biol. 199, 223 (1999).
    • (1998) J. Theor. Biol. , vol.193 , pp. 47
    • Kærn, M.1    Hunding, A.2
  • 8
    • 0033591846 scopus 로고    scopus 로고
    • M. N. Obeyesekere, S. L. Tucker, and S. O. Zimmerman, Biochem. Biophys. Res. Commun. 184, 782 (1992); M. Kærn and A. Hunding, J. Theor. Biol. 193, 47 (1998); B. Novák et al., J. Theor. Biol. 199, 223 (1999).
    • (1999) J. Theor. Biol. , vol.199 , pp. 223
    • Novák, B.1
  • 14
    • 0343042458 scopus 로고    scopus 로고
    • note
    • 167 is the effective equilibrium constant for phosphorylation of the activating residue thr-167 of MPF.
  • 25
    • 0343914084 scopus 로고    scopus 로고
    • note
    • 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.
  • 27
    • 0001076525 scopus 로고    scopus 로고
    • G. Rangarajan, S. Habib, and R. D. Ryne, Phys. Rev. Lett. 80, 3747 (1998). Our implementation uses a fourth-order Runge-Kutta integrator and seeks consistency of the exponents when both the length of the trajectory is extended and the step size is reduced. A pure relative error criterion was used, resulting in tight error control in the critical region where the leading Lyapunov exponent is near zero. The results were spot-checked using an independently written integrator and a different numerical method by running pairs of trajectories to verify qualitative agreement with the exponent calculations.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 3747
    • Rangarajan, G.1    Habib, S.2    Ryne, R.D.3
  • 29
    • 0342608324 scopus 로고    scopus 로고
    • note
    • 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.
  • 30
    • 0343042447 scopus 로고    scopus 로고
    • note
    • 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.
  • 34
    • 84990628124 scopus 로고
    • D. J. Grdina et al., Cell Tissue Kinet. 17, 223 (1984); R. A. White et al., Cell Tissue Kinet. 17, 237 (1984).
    • (1984) Cell Tissue Kinet. , vol.17 , pp. 223
    • Grdina, D.J.1
  • 35
    • 84990557318 scopus 로고
    • D. J. Grdina et al., Cell Tissue Kinet. 17, 223 (1984); R. A. White et al., Cell Tissue Kinet. 17, 237 (1984).
    • (1984) Cell Tissue Kinet. , vol.17 , pp. 237
    • White, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.