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Abstrakty
Identified rheological 2D models of myocardium proposed earlier by us to analyze static 'forcedeformation" curves and ąuasi-static hysteresis loops are used to describe stress relaxation and creep in a wide range of living soft tissues, beginning with myocite level and up to the muscle fibers. The viscous properties are determined with the help of the dampers connected in series or in parallel to certain elastic primary elements of the models. The stress response functions of the models are found for the external longitudinal step-wise or pulse (colurnn-like) stretching. The inverse response functions of the longitudinal displacement for the external stress loading of the pulse shape time dependencies are also found. The values of both elastic modules, as in the static case. and also viscous coefficients are esrimated by comparing theoretical curves of relaxation, creep and recovery with the experirnental data. The latter are obtained on rather different objects, passive muscles preparations (the stress relaxation response) and endothelium cells (the creep response). It IS stated that 2D models proposed appear to be too generał to describe nonlinear relaxation and creep properties. which are lacking the traditionally used ID ones without essential modification of those models.
Czasopismo
Rocznik
Tom
Strony
23--34
Opis fizyczny
Bibliogr. 16 poz., rys., wykr.
Twórcy
autor
- Russian Academy of Sciences, Institute of Immunology and Physiology, Urals branch, 91 Pervomajskaja str., Ekaterinburg 620219, Russian Federation
autor
- Russian Academy of Sciences, Institute of Immunology and Physiology
autor
- Russian Academy of Sciences, Institute of Immunology and Physiology
Bibliografia
- [1] VINOGRADOV G.V., MALKIN A.Ya., The Rheology of Polymers (in Russian), Moscow, Khimiya, 1977, 440 p.
- [2] IZAKOV V.Ya., MARKHASIN B.S., YASNIKOV G.P., BELOUSOV V.C., PROTSENKO Yu.L., Introduction to biomechanics of passive myocardium (in Russian), Moscow, Nauka, 2000, 208 p.
- [3] PROTSENKO Yu.L., KOBELEV A.V., KOBELEVA R.M., ROUTKEVICH S.M., The steady-state property ‘force–deformation’ for passive myocardium, Russian J. of Biomechanics, 2001, Vol. 5, No. 3, pp. 30–40.
- [4] KOBELEV A.V., PROTSENKO Yu.L., KOBELEVA R.M., Modeling of non-linear visco-elastic properties of myocardium specimens, Acta of Bioengineering and Biomechanics, 2002, Vol. 4 (suppl.), pp. 498–499.
- [5] KOBELEV A.V., KOBELEVA R.M., PROTSENKO Yu.L., BERMAN I.V., Nonlinear viscoelastic behaviour of myocardium filaments: ‘force-length’ hysteresis and relaxation of deformation, Russian J. of Biomechanics, 2003, Vol. 7, No. 1, pp. 9–24.
- [6] EGHBALI M., WEBER K.T., Collagen and the myocardium: fibrillar structure, biosynthesis and degradation in relation to hypertrophy and its regression, Mol. Cell. Biochem., 1990, 17, 96(1), pp. 1–14.
- [7] GAVRISH A.S., PAUKOV V.S., The structure and transport trophical function of the integral unit of myocardium tissue – the cardion (in Russian), Vestnik AMN SSSR, 1988, No. 10, pp. 31–39.
- [8] CAULFIELD J.B., BORG T.K., The collagen network of the heart, Lab. Invest., 1979, Vol. 40, pp. 364–372.
- [9] WEBER K.T., BRILLA C.G., JANICKI J.S., Myocardial fibrosis: functional significance and regulatory factors, Cardiovasc. Res., 1993, 27, pp. 341–348.
- [10] FUNG Ya.Ch., Mathemetical models of stress–deformation relation for living soft tissues (in Russian), Mechanics of Polymers, 1975, Vol. 5, pp. 850–867.
- [11] BRAUNWALD E., ROSS J., SONNENBLICK E.H., Mechanisms of contraction of the normal and failing heart, Boston: Little, Brown, 1968, 205 p.
- [12] ANDERSON J., LIB Z., GOUBEL F., Models of skeletal muscle to explain the increase in passive stiffness in desmin knockout muscle, J. Biomechanics, 2002, Vol. 35, pp. 1315–1324.
- [13] DUNN M.G., SILVER F.H., Viscoelastic behavior of human connective tissues: relative contribution of viscous and elastic components, Connect Tissue Res., 1983, Vol. 12(1), pp. 59–70.
- [14] LOEFFLER L., SAGAWA K., A one-dimensional viscoelastic model of cat heart muscle studied by small length perturbations during isometric contraction, Circulation Research, 1975, Vol. 36, No. 4, pp. 498–512.
- [15] BRADY A.J., Analysis of mechanical analogs of heart muscle, Eur. J. Cardiol., 1973, Vol. 1, pp. 193–200.
- [16] BAUSCH A.R., MOELLER W., SACKMANN E., Measurement of local viscoelasticity and forces in living cells by magnetic tweezers, Biophysical J., 1999, Vol. 76, pp. 573–579.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0021-0002