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A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery. / Kozlov, V. A.; Nazarov, S. A.

в: Journal of Mathematical Sciences (United States), Том 214, № 3, 01.04.2016, стр. 287-301.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kozlov, VA & Nazarov, SA 2016, 'A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery', Journal of Mathematical Sciences (United States), Том. 214, № 3, стр. 287-301. https://doi.org/10.1007/s10958-016-2778-1

APA

Kozlov, V. A., & Nazarov, S. A. (2016). A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery. Journal of Mathematical Sciences (United States), 214(3), 287-301. https://doi.org/10.1007/s10958-016-2778-1

Vancouver

Kozlov VA, Nazarov SA. A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery. Journal of Mathematical Sciences (United States). 2016 Апр. 1;214(3):287-301. https://doi.org/10.1007/s10958-016-2778-1

Author

Kozlov, V. A. ; Nazarov, S. A. / A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery. в: Journal of Mathematical Sciences (United States). 2016 ; Том 214, № 3. стр. 287-301.

BibTeX

@article{037b83d32d1749758fb6d29e65c4c754,
title = "A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery",
abstract = "Using the dimension reduction procedure, a one-dimensional model of a periodic blood flow in the artery through a small hole in a thin elastic wall to a spindle-shaped hematoma, is constructed. This model is described by a system of two parabolic and one hyperbolic equations provided with mixed boundary and periodicity conditions. The blood exchange between the artery and the hematoma is expressed by the Kirchhoff transmission conditions. Despite the simplicity, the constructed model allows us to describe the damping of a pulsating blood flow by the hematoma and to determine the condition of its growth. In medicine, the biological object considered is called a false aneurysm. Bibliography: 15 titles.",
keywords = "Hydrodynamic Force, Transmission Condition, Stokes Number, False Aneurysm, Asymptotic Model",
author = "Kozlov, {V. A.} and Nazarov, {S. A.}",
note = "Kozlov, V.A., Nazarov, S.A. A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery. J Math Sci 214, 287–301 (2016). https://doi.org/10.1007/s10958-016-2778-1",
year = "2016",
month = apr,
day = "1",
doi = "10.1007/s10958-016-2778-1",
language = "English",
volume = "214",
pages = "287--301",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery

AU - Kozlov, V. A.

AU - Nazarov, S. A.

N1 - Kozlov, V.A., Nazarov, S.A. A Simple One-Dimensional Model of a False Aneurysm in the Femoral Artery. J Math Sci 214, 287–301 (2016). https://doi.org/10.1007/s10958-016-2778-1

PY - 2016/4/1

Y1 - 2016/4/1

N2 - Using the dimension reduction procedure, a one-dimensional model of a periodic blood flow in the artery through a small hole in a thin elastic wall to a spindle-shaped hematoma, is constructed. This model is described by a system of two parabolic and one hyperbolic equations provided with mixed boundary and periodicity conditions. The blood exchange between the artery and the hematoma is expressed by the Kirchhoff transmission conditions. Despite the simplicity, the constructed model allows us to describe the damping of a pulsating blood flow by the hematoma and to determine the condition of its growth. In medicine, the biological object considered is called a false aneurysm. Bibliography: 15 titles.

AB - Using the dimension reduction procedure, a one-dimensional model of a periodic blood flow in the artery through a small hole in a thin elastic wall to a spindle-shaped hematoma, is constructed. This model is described by a system of two parabolic and one hyperbolic equations provided with mixed boundary and periodicity conditions. The blood exchange between the artery and the hematoma is expressed by the Kirchhoff transmission conditions. Despite the simplicity, the constructed model allows us to describe the damping of a pulsating blood flow by the hematoma and to determine the condition of its growth. In medicine, the biological object considered is called a false aneurysm. Bibliography: 15 titles.

KW - Hydrodynamic Force

KW - Transmission Condition

KW - Stokes Number

KW - False Aneurysm

KW - Asymptotic Model

UR - http://www.scopus.com/inward/record.url?scp=84960335133&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-2778-1

DO - 10.1007/s10958-016-2778-1

M3 - Article

AN - SCOPUS:84960335133

VL - 214

SP - 287

EP - 301

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 40974417