Dynamical fluctuations in biochemical reactions and cycles

Steve Presse, K. Ghosh, R. Phillips, K. A. Dill

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We develop theory for the dynamics and fluctuations in some cyclic and linear biochemical reactions. We use the approach of maximum caliber, which computes the ensemble of paths taken by the system, given a few experimental observables. This approach may be useful for interpreting single-molecule or few-particle experiments on molecular motors, enzyme reactions, ion-channels, and phosphorylation-driven biological clocks. We consider cycles where all biochemical states are observable. Our method shows how: (1) the noise in cycles increases with cycle size and decreases with the driving force that spins the cycle and (2) provides a recipe for estimating small-number features, such as probability of backward spin in small cycles, from experimental data. The back-spin probability diminishes exponentially with the deviation from equilibrium. We believe this method may also be useful for other few-particle nonequilibrium biochemical reaction systems.

Original languageEnglish (US)
Article number031905
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume82
Issue number3
DOIs
StatePublished - Sep 15 2010
Externally publishedYes

Fingerprint

Fluctuations
Cycle
cycles
rhythm (biology)
Molecular Motor
phosphorylation
Ion Channels
Phosphorylation
Driving Force
Non-equilibrium
enzymes
Enzymes
Ensemble
estimating
Deviation
Experimental Data
deviation
Decrease
Path
Experiment

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Dynamical fluctuations in biochemical reactions and cycles. / Presse, Steve; Ghosh, K.; Phillips, R.; Dill, K. A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 82, No. 3, 031905, 15.09.2010.

Research output: Contribution to journalArticle

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