Characterization of passive embryonic myocardium by quasi-linear viscoelasticity theory

被引:31
|
作者
Miller, CE
Vanni, MA
Keller, BB
机构
[1] NIH SCOR in Pediat. Cardiovasc. Dis., Univ. Rochester Sch. Med. and Dent., Department of Pediatrics, Rochester, NY 14642
[2] University of Rochester, Department of Pediatrics, Box 631, Rochester, NY 14642
关键词
viscoelasticity; quasi-linear viscoelasticity; cardiac development; stress relaxation; cardiovascular biomechanics;
D O I
10.1016/S0021-9290(97)00048-1
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
The mechanical properties of embryonic cardiac tissue, an important link between form and function, are largely unknown. This study provides new information on the viscoelastic behavior of the stage-16 and stage-18 (21/2 and 3 d) chick ventricle. The cylindrical ventricles were removed from the embryo, arrested in diastole, and mounted between two small wires in a specially designed experimental workstation. After preconditioning, ramp-and-hold stress relaxation tests were performed at 10, 20 and 40% stretch. The resulting reduced relaxation functions were fit by graphical approach with a quasi-linear viscoelastic representation. All functions were highly linear with natural log time between 1 and 60 s; mean slopes were -0.051 to -0.067. Other mean values were: fast time constant tau(1), 0.037-0.052 s; slow time constant tau(2), 296-486 s; and final relaxation G(infinity), 0.38-0.59. There results agree closely with those adult tissue. The differences in parameters were not significant tither between stretch within stage or between stages at the same stretch level. An extrapolation/renormalization procedure increased agreement in slope between stretch levels but decreased agreement in G(infinity). Events occurring on the short time scale may represent extracellular fluid filtration while final relaxation may be a function of true tissue viscoelasticity. These results will provide a baseline for extension to later developmental stages in cases of both normal and altered growth. (C) 1997 Elsevier Science Ltd.
引用
收藏
页码:985 / 988
页数:4
相关论文
共 50 条
  • [1] CHARACTERIZATION OF THE PASSIVE RESPONSES OF LIVE SKELETAL-MUSCLE USING THE QUASI-LINEAR THEORY OF VISCOELASTICITY
    BEST, TM
    MCELHANEY, J
    GARRETT, WE
    MYERS, BS
    JOURNAL OF BIOMECHANICS, 1994, 27 (04) : 413 - 419
  • [2] Modified constitutive equation for quasi-linear theory of viscoelasticity
    Ravasoo, Arvi
    JOURNAL OF ENGINEERING MATHEMATICS, 2013, 78 (01) : 111 - 118
  • [3] Modified constitutive equation for quasi-linear theory of viscoelasticity
    Arvi Ravasoo
    Journal of Engineering Mathematics, 2013, 78 : 111 - 118
  • [4] Constituent-based quasi-linear viscoelasticity: a revised quasi-linear modelling framework to capture nonlinear viscoelasticity in arteries
    Giudici, Alessandro
    van der Laan, Koen W. F.
    van der Bruggen, Myrthe M.
    Parikh, Shaiv
    Berends, Eline
    Foulquier, Sebastien
    Delhaas, Tammo
    Reesink, Koen D.
    Spronck, Bart
    BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 2023, 22 (05) : 1607 - 1623
  • [5] Constituent-based quasi-linear viscoelasticity: a revised quasi-linear modelling framework to capture nonlinear viscoelasticity in arteries
    Alessandro Giudici
    Koen W. F. van der Laan
    Myrthe M. van der Bruggen
    Shaiv Parikh
    Eline Berends
    Sébastien Foulquier
    Tammo Delhaas
    Koen D. Reesink
    Bart Spronck
    Biomechanics and Modeling in Mechanobiology, 2023, 22 : 1607 - 1623
  • [6] Global solutions to quasi-linear hyperbolic systems of viscoelasticity
    Dharmawardane, Priyanjana M. N.
    Nakamura, Tohru
    Kawashima, Shuichi
    KYOTO JOURNAL OF MATHEMATICS, 2011, 51 (02) : 467 - 483
  • [7] Instantaneous and equilibrium responses of the brain tissue by stress relaxation and quasi-linear viscoelasticity theory
    Hosseini-Farid, M.
    Rezaei, A.
    Eslaminejad, A.
    Ramzanpour, M.
    Ziejewski, M.
    Karami, G.
    SCIENTIA IRANICA, 2019, 26 (04) : 2047 - 2056
  • [8] Time-Dependent Response of Incompressible Membranes Based on Quasi-Linear Viscoelasticity Theory
    Dadgar-Rad, Farzam
    Firouzi, Nasser
    INTERNATIONAL JOURNAL OF APPLIED MECHANICS, 2021, 13 (03)
  • [9] DECAY ESTIMATES OF SOLUTIONS FOR QUASI-LINEAR HYPERBOLIC SYSTEMS OF VISCOELASTICITY
    Dharmawardane, Priyanjana M. N.
    Nakamura, Tohru
    Kawashima, Shuichi
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (03) : 1976 - 2001
  • [10] QUASI-LINEAR THEORY FOR ALFVEN WAVES
    HOH, FC
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1968, 13 (11): : 1530 - &