By L. Fedina, B. Kanyár and B. Kocsis (Eds.)

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Additional info for Mathematical and Computational Methods in Physiology. Satellite Symposium of the 28th International Congress of Physiological Sciences, Budapest, Hungary, 1980

Example text

The main advantage of a nonlinear model of arterial circula­ tion over a linear model is that the former reveal quantitati­ ve alterations in the shape of the pulse wave during transmis­ sion, while the characteristics method applied for the solu­ tion makes possible an automatic allowance of wave refle­ ction. Under general conditions it is a complex function of viscoelasticity of the vascular wall, Poisson ration, inner and outer radii, frequency of cardiac contractions,effective mass of the peri­ vascular tissues, blood density and viscocity, initial axial tension and transmural pressure.

The negative correlation between m and f (Eq. (8)) demonstrates that a lower resistance of the collagen indicated by higher values of h, is related to a shorter longitudinal mesh distance. The maximal load of the loops is mainly dependent on two features of the collagen fibres: A greater nitch of the collagen spiral increases the maximal load K~ (Eqs. (3) and (9), 42 because in this case the resistance of the collagen appears at lower values of extension. The pitch of the collagen spiral also appears to be the main influence on the maximal load in the transversal loops (g in Eq.

Goedhard, A. A. Knoop: Comparison of effects of high cholesterol intake on viscoelastic properties of the thoracic aorta in rats and rabbits. : Structure and function of elastin and collagen. Akademiai Kiado, Budapest (1966) Berry, C. , T. Looker, J. Germain: The growth and development of the rat aorta. I. Morphological aspects. J. Anat. _3 (1972) 1 - 1 6 Burton, A. :. Relation of structure to function of the tissues of the wall of the blood vessels. Physiol. Rev. 3_i (1954) 619 - 642 Cliff, W.

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