TY - JOUR
T1 - Distortion of the arterial pulse
AU - Caflisch, Russel
AU - Majda, George
AU - Peskin, Charles
AU - Strumolo, Gary
N1 - Funding Information:
*Computation was supported by the Department of Energy und,er Contract EY-76-C 02-3077 at the Courant Mathematics and Computing Laboratory of New York University. +Rcsearch supported by a graduate fellowship from the Fannie and John Hertz Foundation. Present address: Department of Mathematics, Stanford University, Stanford, CA 94305. *Present address: Department of Applied Mathematiae, C~alifornia Institute of Technology, Pasadena, CA 91125. @*Research supported by a graduate fellowship from the National Science Foundation. Present address: Schlumberger-Doll Research Center, P. 0. Box 307, Ridgefield, CT 06877.
PY - 1980
Y1 - 1980
N2 - A simple model of the arterial system is formulated and solved. It is a linear model without viscosity, in which the arteries have elastic walls and are exponentially tapered. Blood flows out of the walls continuously. The solution is found analytically and numerically for various sets of parameters and reproduces the main qualitative features of actual blood flow, including the growth and steepening of the pressure pulse, the presence of the dicrotic wave, and the increasing proportionality of the pressure and flow waveforms.
AB - A simple model of the arterial system is formulated and solved. It is a linear model without viscosity, in which the arteries have elastic walls and are exponentially tapered. Blood flows out of the walls continuously. The solution is found analytically and numerically for various sets of parameters and reproduces the main qualitative features of actual blood flow, including the growth and steepening of the pressure pulse, the presence of the dicrotic wave, and the increasing proportionality of the pressure and flow waveforms.
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U2 - 10.1016/0025-5564(80)90102-9
DO - 10.1016/0025-5564(80)90102-9
M3 - Article
AN - SCOPUS:0019070171
SN - 0025-5564
VL - 51
SP - 229
EP - 260
JO - Mathematical Biosciences
JF - Mathematical Biosciences
IS - 3-4
ER -