One way for calculating the interaction of flow with an elastic surface with nonlinear parameters

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One way for calculating the interaction of flow with an elastic surface with nonlinear parameters. / Shvab, I. V.; Nimaev, V. V.

In: Journal of Physics: Conference Series, Vol. 1391, No. 1, 012076, 13.12.2019.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{f7c04536e5354544845094df8b5c23e5,

title = "One way for calculating the interaction of flow with an elastic surface with nonlinear parameters",

abstract = "In the paper we discuss a biomechanical model of microcirculation and transcapillary metabolism and present a mathematical model of metabolic processes occurring in microcirculation level. We conside the following interrelated processes: the flow of blood (a non-Newtonian fluid) in capillaries; filtration and reabsorption of fluid through the wall of the arterial capillary into the surrounding tissue and from this one back to the venous capillary; the movement of fluid in the interstices, the exchange of substances between the interstitial fluid and tissue cells, drainage into the lymphatic capillaries. Biological tissue is modeled as a porous, resilient, isotropic matrix or frame saturated with a fluid of the same type. It is believed that the liquid is contained in the pores of the matrix. The study of microcirculation allows you to better understand the complex interlinked processes of metabolism in the body, identify the causes of pathologies and suggest possible treatment interstitium.",

keywords = "FLUID",

author = "Shvab, {I. V.} and Nimaev, {V. V.}",

note = "Publisher Copyright: {\textcopyright} 2019 IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 8th International Conference on Mathematical Modeling in Physical Science, IC-MSQUARE 2019 ; Conference date: 26-08-2019 Through 29-08-2019",

year = "2019",

month = dec,

day = "13",

doi = "10.1088/1742-6596/1391/1/012076",

language = "English",

volume = "1391",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - One way for calculating the interaction of flow with an elastic surface with nonlinear parameters

AU - Shvab, I. V.

AU - Nimaev, V. V.

PY - 2019/12/13

Y1 - 2019/12/13

N2 - In the paper we discuss a biomechanical model of microcirculation and transcapillary metabolism and present a mathematical model of metabolic processes occurring in microcirculation level. We conside the following interrelated processes: the flow of blood (a non-Newtonian fluid) in capillaries; filtration and reabsorption of fluid through the wall of the arterial capillary into the surrounding tissue and from this one back to the venous capillary; the movement of fluid in the interstices, the exchange of substances between the interstitial fluid and tissue cells, drainage into the lymphatic capillaries. Biological tissue is modeled as a porous, resilient, isotropic matrix or frame saturated with a fluid of the same type. It is believed that the liquid is contained in the pores of the matrix. The study of microcirculation allows you to better understand the complex interlinked processes of metabolism in the body, identify the causes of pathologies and suggest possible treatment interstitium.

AB - In the paper we discuss a biomechanical model of microcirculation and transcapillary metabolism and present a mathematical model of metabolic processes occurring in microcirculation level. We conside the following interrelated processes: the flow of blood (a non-Newtonian fluid) in capillaries; filtration and reabsorption of fluid through the wall of the arterial capillary into the surrounding tissue and from this one back to the venous capillary; the movement of fluid in the interstices, the exchange of substances between the interstitial fluid and tissue cells, drainage into the lymphatic capillaries. Biological tissue is modeled as a porous, resilient, isotropic matrix or frame saturated with a fluid of the same type. It is believed that the liquid is contained in the pores of the matrix. The study of microcirculation allows you to better understand the complex interlinked processes of metabolism in the body, identify the causes of pathologies and suggest possible treatment interstitium.

KW - FLUID

UR - http://www.scopus.com/inward/record.url?scp=85077810621&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1391/1/012076

DO - 10.1088/1742-6596/1391/1/012076

M3 - Conference article

AN - SCOPUS:85077810621

VL - 1391

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012076

T2 - 8th International Conference on Mathematical Modeling in Physical Science, IC-MSQUARE 2019

Y2 - 26 August 2019 through 29 August 2019

ER -

ID: 23121495