Virus capsid, diffusion exponent, and Gaussian fluctuation

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Yuichi Itto (Aichi Institute of Technology)


Virus capsid exhibits an exotic diffusion phenomenon in a cell nucleus [1,2]. The distribution of the diffusion exponent takes a universal Gaussian form for two different types of the virus. Here, the statistical property of the local fluctuations of the diffusion exponent over the nucleus is discussed [3]. It is shown that the statistical distribution of the fluctuations derived by an entropic approach [4] is consistent with the Gaussian form. Local areas of interchromatin corrals are regarded as cubic blocks, (following a discussion originally made for a different cell [5]), and it is examined how large the number of blocks is. Based on the fluctuation distribution, a proposition is also presented for the form of the distribution of waiting time that the virus capsid stays in a given block. $ $ References [1] J. B. Bosse, I. B. Hogue, M. Feric, S. Y. Thiberge, B. Sodeik, C. P. Brangwynne, and L. W. Enquist, Proc. Natl. Acad. Sci. USA **112**, E5725 (2015). [2] J. B. Bosse and L. W. Enquist, Nucleus **7**, 13 (2016). [3] Y. Itto, e-print 1706.01285. [4] Y. Itto, in *Frontiers in Anti-Infective Drug Discovery*, Vol. 5, edited by Atta-ur-Rahman and M. Iqbal Choudhary (Bentham Science Publishers, Sharjah, 2017); and the references therein. [5] Y. Itto, Physica A **462**, 522 (2016).

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Yuichi Itto (Aichi Institute of Technology)

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