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Volumn 115, Issue 19, 2011, Pages 6202-6212

Modeling stochastic dynamics in biochemical systems with feedback using maximum caliber

Author keywords

[No Author keywords available]

Indexed keywords

BIOCHEMISTRY; REACTION RATES; STOCHASTIC SYSTEMS;

EID: 79956100924     PISSN: 15206106     EISSN: 15205207     Source Type: Journal    
DOI: 10.1021/jp111112s     Document Type: Article
Times cited : (35)

References (42)
  • 22
    • 0002600688 scopus 로고
    • Bayesian Inductive Inference and Maximum Entropy. In; Erickson, G. J.; Smith, C. R., Eds.; Kluwer Academic Publishers: Boston
    • Gull, S. F. Bayesian Inductive Inference and Maximum Entropy. In Maximum Entropy and Bayesian Methods in Science and Engineering; Erickson, G. J.; Smith, C. R., Eds.; Kluwer Academic Publishers: Boston, 1988; Vol. 1, pp. 53 - 74.
    • (1988) Maximum Entropy and Bayesian Methods in Science and Engineering , vol.1 , pp. 53-74
    • Gull, S.F.1
  • 24
    • 6044272010 scopus 로고
    • Macroscopic prediction
    • Haken, H., Ed.; Springer-Verlag: Berlin
    • Jaynes, E. T. Macroscopic Prediction. In Complex Systems-Operational Approaches; Haken, H., Ed.; Springer-Verlag: Berlin, 1985; p 254.
    • (1985) Complex Systems - Operational Approaches , pp. 254
    • Jaynes, E.T.1
  • 41
    • 84906390152 scopus 로고    scopus 로고
    • note
    • In the experiments of Gardner et al., (35) the Escherichia coli in which were injected the engineered plasmid containing both promoters replicated as the experiment was carried through. The set of chemical reactions above does not take this or other complications into account; rather the reactions put forth are a simple set of ingredients required to obtain bistable steady state as well as switching between such states.
  • 42
    • 18144425774 scopus 로고    scopus 로고
    • The dwell times were obtained by determining levels of protein A and B at time intervals of length T in the time traces. If protein A had the higher level, then a counter is set to 1; otherwise it is 0. A switch is indicated by a change in the counter in the next interval. For sufficiently large T, there is a range over which the dwell times are independent of T. If T is too large, short transitions are missed. If T is too small, fluctuations are picked up as switches between steady states. It is because of the difficulty in defining what is a true transition in the presence of the rare raggedy switches that we define a switch through the simple algorithm above. Since we are really interested in comparing the dwells in MaxCal and Gillespie traces, to avoid bias, we use the same algorithm throughout with T equal to 1000 Gillespie or MaxCal steps, a step being defined by a change in particle number of A or B. We also verified our distribution of dwell times in different ways, for example by averaging levels of A and B within the interval T and using this to determine whether our counter variable should be set to 0 or 1. Different specialized methods for computing dwell times for toggle switches are also available in the literature. See: Allen, R. J.; Warren, P. B.;; ten Wolde, P. R. Phys. Rev. Lett. 2005, 94, 018104.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 018104
    • Allen, R.J.1    Warren, P.B.2    Ten Wolde, P.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.