caa a22 4500 605522898 CHVBK 20210128100747.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2370-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2370-0 One-Dimensional Model of Viscoelastic Blood Flow Through a Thin Elastic Vessel [Elektronische Daten] [V. Kozlov', S. Nazarov] Based on the three-dimensional Oldroyd viscoelastic fluid model, we develop a simple linear one-dimensional model of blood flow through a thin blood vessel with an elastic multilayer cylindrical wall. Unlike known models, the obtained system of integrodifferential equations with respect to the variables z and t (the longitudinal coordinate ant time) includes the Volterra operator in t, which takes into account the relaxation effect of stresses in a pulsating flow of blood regarded as a many-component viscoelastic fluid. We construct a simplified differential model corresponding to "short-term memory.” We study the effect of high-amplitude longitudinal oscillations of wall under a dissection (lamination). Bibliography: 24 titles. Illustrations: 1 figure. Springer Science+Business Media New York, 2015 Kozlov' V. Linköping University, SE-581 83, Linköping, Sweden aut Nazarov S. St. Petersburg State University, St. Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., 199178, St. Petersburg, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 249-269 1072-3374 207:2<249 2015 207 10958 https://doi.org/10.1007/s10958-015-2370-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2370-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kozlov' V. Linköping University, SE-581 83, Linköping, Sweden aut NATIONALLICENCE 700 1- Nazarov S. St. Petersburg State University, St. Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., 199178, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 249-269 1072-3374 207:2<249 2015 207 10958