The input impedance of an assembly of randomly branching elastic tubes

Biophysical Journal
M G Taylor


Computations are presented of the input impedance of assemblies of randomly bifurcating elastic tubes, as a generalized model of the arterial system. Account is taken of the viscosity of the fluid, the viscoelastic properties of the walls, the variation of elasticity in the different orders of branches, and the variation in cross-sectional area at the bifurcations. The results show that the distributed and scattered nature of the terminations of such an assembly greatly reduces the influence of reflections upon the behavior of the input impedance. The variation of impedance with frequency is very similar in form to that found in animal experiments for the input impedance of the aorta. The architecture of the arterial system may thus be considered to play an important part in determining the favorably low impedance presented to the heart by the aorta.


Jan 1, 1971·Pflügers Archiv : European journal of physiology·T h Pasch, R D Bauer
Sep 1, 1975·Annals of Biomedical Engineering·P Sipkema, N Westerhof
Nov 1, 1980·Medical & Biological Engineering & Computing·Alberto P Avolio
Sep 1, 1990·Medical & Biological Engineering & Computing·M A HelalS N Sarwal
Sep 1, 1968·The Bulletin of Mathematical Biophysics·E D Young
May 1, 1974·Medical & Biological Engineering·G ElzingaG C van den Bos
Nov 1, 1973·Medical & Biological Engineering·N WesterhofG C van den Bos
Jul 1, 1973·Medical & Biological Engineering·B M Kim, W H Corcoran
Sep 1, 1995·Medical & Biological Engineering & Computing·K C ChangH I Chen
Jan 1, 1984·Annals of Biomedical Engineering·Michael F O'RourkeAlberto P Avolio
Nov 1, 1995·Annals of Biomedical Engineering·B Duan, M Zamir
Jan 4, 2006·Annals of Biomedical Engineering·Fumihiko KajiyaStéphane Carlier
Feb 13, 2007·Annals of Biomedical Engineering·Ryan L SpilkerCharles A Taylor
Jul 16, 2008·Medical & Biological Engineering & Computing·Michael F O'Rourke
Apr 1, 1985·Journal of Biomedical Engineering·R Beyar, U Dinnar
Apr 1, 1989·Computer Methods and Programs in Biomedicine·A A KamalA J Mearns
Mar 5, 2004·Journal of Biomechanics·J J Wang, Kim H Parker
Jan 15, 1995·The American Journal of Cardiology·R ZeppelliniR Erbel
Apr 16, 2003·Journal of Biomechanics·Michael F O'Rourke
Sep 1, 1999·Medical Engineering & Physics·R BurattiniK B Campbell
Jan 11, 2012·Mathematical Biosciences and Engineering : MBE·Rachel B Clipp, Brooke N Steele
May 21, 2011·Annals of Thoracic and Cardiovascular Surgery : Official Journal of the Association of Thoracic and Cardiovascular Surgeons of Asia·Kinichi NakataMotomi Shiono
May 1, 1988·Medical & Biological Engineering & Computing·G L Papageorgiou, N B Jones
Mar 24, 2016·American Journal of Hypertension·Michael F O'RourkeElazer R Edelman
Mar 15, 2006·IEEE Transactions on Bio-medical Engineering·Christopher M QuickA Noordergraaf
Jul 1, 1969·Journal of Biomechanics·M L Roller, M E Clark
Jan 1, 1976·Journal of Biomechanics·G B Thurston
Dec 11, 2008·IEEE Transactions on Bio-medical Engineering·Rachel B Clipp, Brooke N Steele
Mar 1, 1986·IEEE Transactions on Bio-medical Engineering·A S AbutalebA Noordergraaf
Feb 1, 1985·IEEE Transactions on Bio-medical Engineering·S M ToyA Noordergraaf
Jun 20, 2003·IEEE Transactions on Bio-medical Engineering·Brooke N SteeleCharles A Taylor
Aug 15, 2009·Journal of the American College of Cardiology·Michael F O'Rourke, Christopher S Hayward
Jul 1, 1968·IEEE Transactions on Bio-medical Engineering·G H PollackA Noordergraaf
Oct 14, 2010·American Journal of Hypertension·Audrey AdjiMayooran Namasivayam
May 1, 1988·Australian and New Zealand Journal of Medicine·Michael F O'Rourke
May 30, 2017·Computer Methods in Biomechanics and Biomedical Engineering·Khaled Ben Abdessalem, Ridha Ben Saleh
Jan 1, 1986·Journal of Biomechanics·D L NewmanN Westerhof
Jul 26, 2002·Artificial Organs·Ryo KosakaTatsuo Tsutsui
Sep 24, 2004·Artificial Organs·Ryo KosakaTatsuo Tsutsui
Jul 1, 1968·Circulation Research·J E MaloneyJ B West
Dec 1, 1969·Circulation Research·W R MilnorMichael F O'Rourke
May 1, 1988·Circulation Research·T W LatsonK Sagawa
Jun 1, 1967·Circulation Research·J D Bargainer
Apr 1, 1967·Circulation Research·Michael F O'Rourke, M G Taylor
Aug 1, 1966·Circulation Research·E O AttingerR Martin
Jan 1, 1991·Circulation Research·R BurattiniK B Campbell
Nov 1, 1981·Circulation·Michael F O'Rourke
Sep 2, 2006·Stroke; a Journal of Cerebral Circulation·Kozo HirataMasanobu Kawakami
Jun 21, 2001·The American Journal of Geriatric Cardiology·Michael D. VanAuker
Dec 20, 2007·Journal of Hypertension·Michael F O'Rourke, Alberto P Avolio
Jul 16, 2008·American Journal of Physiology. Heart and Circulatory Physiology·Carl-Johan ThoreMatts Karlsson
Aug 26, 1998·Cardiovascular Research·V D'OrioR Marcelle
Dec 19, 2001·American Journal of Physiology. Heart and Circulatory Physiology·R Burattini, K B Campbell
May 6, 2020·Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine·Alun D Hughes, Kim H Parker
May 1, 1976·Basic Research in Cardiology·T h PaschR Busse

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