Investigations on the Theory of the Brownian Movement

Topping, J

doi:10.1088/0031-9112/7/10/012

Cited by 33 publications

(15 citation statements)

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“…1B). Whereas purely diffusive motion is described as a random walk, captured by the Smoluchowski-Einstein relation (19) and a slope of 1, we observe lower slopes typical of sub-diffusive motion.…”

Section: Resultsmentioning

confidence: 54%

Polyphosphate affects cytoplasmic and chromosomal dynamics in nitrogen-starved Pseudomonas aeruginosa

Magkiriadou

Habel

Stepp

et al. 2021

Preprint

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Polyphosphate (polyP) synthesis is a ubiquitous stress and starvation response in bacteria. In diverse species, mutants unable to make polyP have a wide variety of physiological defects, but the mechanisms by which this simple polyanion exerts its effects remain unclear. One possibility is that polyP′s many functions stem from global effects on the biophysical properties of the cell. We characterize the effect of polyphosphate on cytoplasmic mobility under nitrogen-starvation conditions in the opportunistic pathogen Pseudomonas aeruginosa. Using fluorescence microscopy and particle tracking, we characterize the motion of chromosomal loci and free tracer particles in the cytoplasm. In the absence of polyP and upon starvation, we observe an increase in mobility both for chromosomal loci and for tracer particles. Tracer particles reveal that polyP also modulates the partitioning between a ′more mobile′ and a ′less mobile′ population: small particles in cells unable to make polyP are more likely to be ′mobile′ and explore more of the cytoplasm, particularly during starvation. We speculate that this larger freedom of motion may be a consequence of nucleoid decompaction, which we also observe in starved cells deficient in polyP. Our observations suggest that polyP limits cytoplasmic mobility and accessibility during nitrogen starvation, which may help to explain the pleiotropic phenotypes observed in the absence of polyP.

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Section: Resultsmentioning

confidence: 54%

Polyphosphate affects cytoplasmic and chromosomal dynamics in nitrogen-starved Pseudomonas aeruginosa

Magkiriadou

Habel

Stepp

et al. 2021

Preprint

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“…The mean square displacement (MSD) in molecular dynamics simulation is firstly calculated, and then the diffusion coefficient can be obtained according to the relationship between the diffusion coefficient and MSD. 31 And the diffusion coefficient D can be obtained from eqn (3):where is the position of atom n at time t , and D is the diffusion coefficient in the unit of m 2 s −1 .…”

Section: Resultsmentioning

confidence: 99%

Structural stability and initial decomposition mechanisms of BTF crystals induced by vacancy defects: a computational study

Zhu

2022

CrystEngComm

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“…Based on the above result, the mobility of polaron carrier can be obtained from Einstein’s relation as μ = e D k B T where the symbol D is the diffusion coefficient, which is calculated as , D = R 2 n k et where the symbol R is the polaron transfer distance from the initial site α to the final site β and n is the number of electron polarons.…”

Section: Methodsmentioning

confidence: 99%

The Role of Water Molecules on Polaron Behavior at Rutile (110) Surface: A Constrained Density Functional Theory Study

Li,

Si,

Wen

et al. 2024

J. Phys. Chem. Lett.

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Understanding the behavior of a polaron in contact with water is of significant importance for many photocatalytic applications. We investigated the influence of water on the localization and transport properties of polarons at the rutile (110) surface by constrained density functional theory. An excess electron at a dry surface favors the formation of a small polaron at the subsurface Ti site, with a preferred transport direction along the [001] axis. As the surface is covered by water, the preferred spatial localization of the polarons is moved from the subsurface to the surface. When the water coverage exceeds half a monolayer, the preferred direction of polaron hopping is changed to the [110] direction toward the surface. This characteristic behavior is related to the Ti 3d -orbital occupations and crystal field splitting induced by different distorted structures under water coverage. Our work describes the reduced sites that might eventually play a role in photocatalysis for rutile (110) surfaces in a water environment.

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Investigations on the Theory of the Brownian Movement

Cited by 33 publications

References 0 publications

Polyphosphate affects cytoplasmic and chromosomal dynamics in nitrogen-starved Pseudomonas aeruginosa

Polyphosphate affects cytoplasmic and chromosomal dynamics in nitrogen-starved Pseudomonas aeruginosa

Structural stability and initial decomposition mechanisms of BTF crystals induced by vacancy defects: a computational study

The Role of Water Molecules on Polaron Behavior at Rutile (110) Surface: A Constrained Density Functional Theory Study

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