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Stochastic dynamics of stable cell cycle oscillation

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

Stochastic fluctuations are inevitable features of chemical reactions in cell. An important question is how the fundamental physiological behavior of cell is kept stable against those noisy perturbations. In this paper a stochastic model of cell cycle of budding yeast is constructed to analyze the effects of noise on the cell cycle oscillation. A novel feature of the model is its ability to predict intensities of both intrinsic and extrinsic noises in levels of mRNAs and proteins. The simulated protein levels explain the observed statistical tendency of noise in populations of synchronous and asynchronous cells. In spite of intense noise in levels of mRNAs and proteins, cell cycle is stable enough to bring the largely perturbed cells back to the physiological cyclic oscillation. Using thus developed model, a new explanation for the mechanism of the stable cell cycle oscillation is provided: During the cell cycle oscillation, multiple fixed points consecutively appear and disappear, each of which attracts trajectories starting from widely distributed initial states. These fixed points correspond to cells arrested at specific stages in cell cycle, and hence are apart from the states in the ordinary oscillatory cycle. In spite of such deviation of fixed points from the standard oscillatory trajectories, consecutive appearance and disappearance of fixed points are the driving force of the stable cyclic oscillation.

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