Barenblatt-like approach to transport processes in meningeal lymphatic vessel’s dynamics

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Barenblatt-like approach to transport processes in meningeal lymphatic vessel’s dynamics. / Lavrova, Anastasia I.; Postnikov, Eugene B.

In: European Physical Journal Plus, Vol. 136, No. 5, 486, 05.2021.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{9353c6db2cdf48dfbefd51e9e41d028c,

title = "Barenblatt-like approach to transport processes in meningeal lymphatic vessel{\textquoteright}s dynamics",

abstract = "We propose a model, which describes the transfer of a marker inside the lymphatic microvessel by the lymph flow as a consequence of the vessel{\textquoteright}s elastic deformation, which produces the pushing pressure jump. The resulting model is close to the equation of the nonlinear diffusion with a localized moving front solution. The simulations are compared with the processed data of experimental recordings of the transfer of neutrophil in the meningeal lymphatic capillary of Danio rerio, and the quantitative reproducing the realistic spatiotemporal dynamics is confirmed.",

keywords = "NONLINEAR DIFFUSION",

author = "Lavrova, {Anastasia I.} and Postnikov, {Eugene B.}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Societ{\`a} Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = may,

doi = "10.1140/epjp/s13360-021-01481-1",

language = "English",

volume = "136",

journal = "European Physical Journal Plus",

issn = "2190-5444",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - Barenblatt-like approach to transport processes in meningeal lymphatic vessel’s dynamics

AU - Lavrova, Anastasia I.

AU - Postnikov, Eugene B.

PY - 2021/5

Y1 - 2021/5

N2 - We propose a model, which describes the transfer of a marker inside the lymphatic microvessel by the lymph flow as a consequence of the vessel’s elastic deformation, which produces the pushing pressure jump. The resulting model is close to the equation of the nonlinear diffusion with a localized moving front solution. The simulations are compared with the processed data of experimental recordings of the transfer of neutrophil in the meningeal lymphatic capillary of Danio rerio, and the quantitative reproducing the realistic spatiotemporal dynamics is confirmed.

AB - We propose a model, which describes the transfer of a marker inside the lymphatic microvessel by the lymph flow as a consequence of the vessel’s elastic deformation, which produces the pushing pressure jump. The resulting model is close to the equation of the nonlinear diffusion with a localized moving front solution. The simulations are compared with the processed data of experimental recordings of the transfer of neutrophil in the meningeal lymphatic capillary of Danio rerio, and the quantitative reproducing the realistic spatiotemporal dynamics is confirmed.

KW - NONLINEAR DIFFUSION

UR - http://www.scopus.com/inward/record.url?scp=85105313673&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/31635dfb-2e73-3447-ba33-61e04f8ad9b5/

U2 - 10.1140/epjp/s13360-021-01481-1

DO - 10.1140/epjp/s13360-021-01481-1

M3 - Article

AN - SCOPUS:85105313673

VL - 136

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 5

M1 - 486

ER -

ID: 88550951