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Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Fedotov, S. | en |
dc.contributor.author | Tan, A. | en |
dc.contributor.author | Zubarev, A. | en |
dc.date.accessioned | 2021-08-31T15:03:27Z | - |
dc.date.available | 2021-08-31T15:03:27Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Fedotov S. Persistent random walk of cells involving anomalous effects and random death / S. Fedotov, A. Tan, A. Zubarev. — DOI 10.1103/PhysRevE.91.042124 // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. — 2015. — Vol. 91. — Iss. 4. — 042124. | en |
dc.identifier.issn | 15393755 | - |
dc.identifier.other | Final | 2 |
dc.identifier.other | All Open Access, Green | 3 |
dc.identifier.other | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929177765&doi=10.1103%2fPhysRevE.91.042124&partnerID=40&md5=05da3d56f10104f4246952760f617277 | |
dc.identifier.other | http://arxiv.org/pdf/1412.0535 | m |
dc.identifier.uri | http://elar.urfu.ru/handle/10995/102390 | - |
dc.description.abstract | The purpose of this paper is to implement a random death process into a persistent random walk model which produces sub-ballistic superdiffusion (Lévy walk). We develop a stochastic two-velocity jump model of cell motility for which the switching rate depends upon the time which the cell has spent moving in one direction. It is assumed that the switching rate is a decreasing function of residence (running) time. This assumption leads to the power law for the velocity switching time distribution. This describes the anomalous persistence of cell motility: the longer the cell moves in one direction, the smaller the switching probability to another direction becomes. We derive master equations for the cell densities with the generalized switching terms involving the tempered fractional material derivatives. We show that the random death of cells has an important implication for the transport process through tempering of the superdiffusive process. In the long-time limit we write stationary master equations in terms of exponentially truncated fractional derivatives in which the rate of death plays the role of tempering of a Lévy jump distribution. We find the upper and lower bounds for the stationary profiles corresponding to the ballistic transport and diffusion with the death-rate-dependent diffusion coefficient. Monte Carlo simulations confirm these bounds. © 2015 American Physical Society. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | en | en |
dc.publisher | American Physical Society | en |
dc.rights | info:eu-repo/semantics/openAccess | en |
dc.source | Phys. Rev. E Stat. Nonlinear Soft Matter Phys. | 2 |
dc.source | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | en |
dc.subject | BALLISTICS | en |
dc.subject | CELLS | en |
dc.subject | CYTOLOGY | en |
dc.subject | DIFFUSION | en |
dc.subject | INTELLIGENT SYSTEMS | en |
dc.subject | MONTE CARLO METHODS | en |
dc.subject | RANDOM PROCESSES | en |
dc.subject | STOCHASTIC MODELS | en |
dc.subject | STOCHASTIC SYSTEMS | en |
dc.subject | SWITCHING | en |
dc.subject | TEMPERING | en |
dc.subject | BALLISTIC TRANSPORTS | en |
dc.subject | DECREASING FUNCTIONS | en |
dc.subject | FRACTIONAL DERIVATIVES | en |
dc.subject | MATERIAL DERIVATIVE | en |
dc.subject | PERSISTENT RANDOM WALK | en |
dc.subject | SWITCHING PROBABILITY | en |
dc.subject | TRANSPORT PROCESS | en |
dc.subject | UPPER AND LOWER BOUNDS | en |
dc.subject | POPULATION STATISTICS | en |
dc.subject | BIOLOGICAL MODEL | en |
dc.subject | CELL DEATH | en |
dc.subject | CELL MOTION | en |
dc.subject | COMPUTER SIMULATION | en |
dc.subject | DIFFUSION | en |
dc.subject | FOURIER ANALYSIS | en |
dc.subject | MONTE CARLO METHOD | en |
dc.subject | NONLINEAR SYSTEM | en |
dc.subject | STATISTICS | en |
dc.subject | CELL DEATH | en |
dc.subject | CELL MOVEMENT | en |
dc.subject | COMPUTER SIMULATION | en |
dc.subject | DIFFUSION | en |
dc.subject | FOURIER ANALYSIS | en |
dc.subject | MODELS, BIOLOGICAL | en |
dc.subject | MONTE CARLO METHOD | en |
dc.subject | NONLINEAR DYNAMICS | en |
dc.subject | STOCHASTIC PROCESSES | en |
dc.title | Persistent random walk of cells involving anomalous effects and random death | en |
dc.type | Article | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.doi | 10.1103/PhysRevE.91.042124 | - |
dc.identifier.scopus | 84929177765 | - |
local.contributor.employee | Fedotov, S., School of Mathematics, University of Manchester, Manchester, M13 9PL, United Kingdom | |
local.contributor.employee | Tan, A., Department of Mathematics, Universiti Brunei Darussalam, Brunei Darussalam | |
local.contributor.employee | Zubarev, A., Department of Mathematical Physics, Ural Federal University, Yekaterinburg, Russian Federation | |
local.issue | 4 | - |
local.volume | 91 | - |
dc.identifier.wos | 000353142000003 | - |
local.contributor.department | School of Mathematics, University of Manchester, Manchester, M13 9PL, United Kingdom | |
local.contributor.department | Department of Mathematics, Universiti Brunei Darussalam, Brunei Darussalam | |
local.contributor.department | Department of Mathematical Physics, Ural Federal University, Yekaterinburg, Russian Federation | |
local.identifier.pure | cc8c36e8-d447-4842-ad9a-f23df7d7394d | uuid |
local.identifier.pure | 343898 | - |
local.description.order | 042124 | - |
local.identifier.eid | 2-s2.0-84929177765 | - |
local.identifier.wos | WOS:000353142000003 | - |
local.identifier.pmid | 25974455 | - |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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2-s2.0-84929177765.pdf | 230,08 kB | Adobe PDF | Просмотреть/Открыть |
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