TY - JOUR

T1 - Transmission Conditions in a One-Dimensional Model of Bifurcating Arteries with Elastic Walls

AU - Kozlov, V. A.

AU - Nazarov, S. A.

N1 - Kozlov, V.A., Nazarov, S.A. Transmission Conditions in a One-Dimensional Model of Bifurcating Arteries with Elastic Walls. J Math Sci 224, 94–118 (2017). https://doi.org/10.1007/s10958-017-3398-0

PY - 2017

Y1 - 2017

N2 - Transmission conditions at a bifurcation point in a one-dimensional model of blood vessels are derived by using a three-dimensional model. Both classical Kirchhoff conditions ensuring the continuity of pressure and the vanishing of the flux should be modified in order to reflect properly the elastic properties of blood vessels. A simple approximate method of calculation of new physical parameters in the transmission conditions is proposed. Simplified models of straight sections of arteries with localized defects such as micro-aneurysms and cholesterol plaques are developed; these models also require the statement of some transmission conditions.

AB - Transmission conditions at a bifurcation point in a one-dimensional model of blood vessels are derived by using a three-dimensional model. Both classical Kirchhoff conditions ensuring the continuity of pressure and the vanishing of the flux should be modified in order to reflect properly the elastic properties of blood vessels. A simple approximate method of calculation of new physical parameters in the transmission conditions is proposed. Simplified models of straight sections of arteries with localized defects such as micro-aneurysms and cholesterol plaques are developed; these models also require the statement of some transmission conditions.

UR - http://www.scopus.com/inward/record.url?scp=85019615708&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3398-0

DO - 10.1007/s10958-017-3398-0

M3 - Article

AN - SCOPUS:85019615708

VL - 224

SP - 94

EP - 118

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -