Deviation of the statistical fluctuation in heterogeneous anomalous diffusion

Itto, Yuichi

doi:10.1016/j.physa.2016.06.009

Cited by 11 publications

(7 citation statements)

References 15 publications

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“…In Ref. [15], this question is affirmatively answered for a class of small deviations. There, it is shown that the deviation…”

Section: Resultsmentioning

confidence: 96%

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Diffusion Theory for the Infection Pathway of Virus in a Living Cell

Itto¹

2018

TOPROCJ

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The infection pathway of virus in living cell is of interest from the viewpoint of the physics of diffusion. Here, recent developments about a diffusion theory for the infection pathway of an adeno-associated virus in cytoplasm of a living HeLa cell are reported. Generalizing fractional kinetics successfully modeling anomalous diffusion, a theory for describing the infection pathway of the virus over the cytoplasm is presented. The statistical property of the fluctuations of the anomalous-diffusion exponentis also discussed based on a maximum-entropy-principle approach. In addition, an issue regarding the continuum limit of the entropy introduced in the approach is carefully examined. The theory is found to imply that the motion of the virus may obey a scaling law.

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“…In Ref. [15], this question is affirmatively answered for a class of small deviations. There, it is shown that the deviation…”

Section: Resultsmentioning

confidence: 96%

“…In Ref. [15], it has been shown that this assumption seems to be appropriate. It is found [12,13] that the entropy in Eq.…”

Section: Statistical Distribution Of Exponent Fluctuations and Maximu...mentioning

confidence: 99%

Diffusion Theory for the Infection Pathway of Virus in a Living Cell

Itto¹

2018

TOPROCJ

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“…This treatment (originally performed for a localized area of cytoplasm in Ref. [25]) enables us to estimate the volume of the cubic block. As the value of α in Eq.…”

Section: Entropy Associated With the Fluctuations Of The Diffusion Exmentioning

confidence: 99%

Gaussian fluctuation of the diffusion exponent of virus capsid in a living cell nucleus

Itto

2018

Physics Letters A

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In their work [Proc. Natl. Acad. Sci. USA 112 (2015) E5725], Bosse et al. experimentally showed that virus capsid exhibits not only normal diffusion but also anomalous diffusion in nucleus of a living cell. There, it was found that the distribution of fluctuations of the diffusion exponent characterizing them takes the Gaussian form, which is, quite remarkably, the same form for two different types of the virus. This suggests high robustness of such fluctuations. Here, the statistical property of local fluctuations of the diffusion exponent of the virus capsid in the nucleus is studied. A maximum-entropy-principle approach (originally proposed for a different virus in a different cell) is applied for obtaining the fluctuation distribution of the exponent.Largeness of the number of blocks identified with local areas of interchromatin corrals is also examined based on the experimental data. It is shown that the Gaussian distribution of the local fluctuations can be derived, in accordance with the above form.In addition, it is quantified how the fluctuation distribution on a long time scale is different from the Gaussian distribution.

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“…Like in recent works [13,14], we regard this region as a medium for diffusion of the capsid at both viral types, which is composed of many virtual cubic blocks. The virus capsid exhibits normal or anomalous diffusion, depending on these local blocks.…”

Section: Sojourn-time Distributionmentioning

confidence: 99%

Sojourn-time Distribution of Virus Capsid in Interchromatin Corrals of a Cell Nucleus

Itto¹,

Bosse²

2018

Acta Phys. Pol. B

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Virus capsids in interchromatin corrals of a cell nucleus are experimentally known to exhibit anomalous diffusion as well as normal diffusion, leading to the Gaussian distribution of the diffusion-exponent fluctuations over the corrals. Here, the sojourn-time distribution of the virus capsid in local areas of the corral, i.e., probability distribution of the sojourn time characterizing diffusion in the local areas, is examined.Such an area is regarded as a virtual cubic block, the diffusion property in which is normal or anomalous. The distribution, in which the Gaussian fluctuation is incorporated, is shown to tend to slowly decay. Then, the block-size dependence of average sojourn time is discussed. A comment is also made on (non-)Markovianity of the process of moving through the blocks.

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Deviation of the statistical fluctuation in heterogeneous anomalous diffusion

Cited by 11 publications

References 15 publications

Diffusion Theory for the Infection Pathway of Virus in a Living Cell

Diffusion Theory for the Infection Pathway of Virus in a Living Cell

Gaussian fluctuation of the diffusion exponent of virus capsid in a living cell nucleus

Sojourn-time Distribution of Virus Capsid in Interchromatin Corrals of a Cell Nucleus

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