The dynamic elastic modulus (Ed) and the coefficient of wall viscosity (η W) of the tail artery of normotensive rats were determined as functions of the circumferential wall stress under quasistatic and dynamic conditions. The experiments were performed under strong smooth muscle activation induced by norepinephrine, and during relaxation induced by papaverine. The following results were obtained.
Ed andη W increase with increasing wall stress. At a given wall stress, Ed is virtually independent of frequency whileη W decreases markedly with increasing frequency. This behaviour ofη W is called thixotropy or pseudoplasticity.
In the wall stress range from 5–60 kPa the values of Ed, and in the wall stress range from 60–140 kPa those ofη W obtained under smooth muscle activation and during relaxation are virtually identical.
In the relaxed smooth muscle, the phase angles between sinusoidal pressure and radius changes are virtually independent of the mean wall stress at all frequencies. In the low stress range, the phase angles are greater at low frequencies in the activated state than in the relaxed state, decrease with increasing wall stress, and are virtually identical to the values under papaverine at high wall stresses. At high frequencies no dependence of the phase angles on the mean wall stress can be seen.
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Bauer RD, Pasch Th (1971) The quasistatic and circumferential elastic modulus of the rat tail artery studied at various wall stresses and tones of the vascular smooth muscle. Pflügers Arch 330:335–346
Bergel DH (1961) The dyamic elastic properties of the arterial wall. J Physiol (Lond) 156:458–469
Busse R, Bauer RD, Summa Y, Körner H, Pasch Th (1976) Comparison of the visco-elastic properties of the tail artery in spontaneously hypertensive and normotensive rats. Pflügers Arch 364:175–181
Busse R, Bauer RD, Burger W, Sturm K, Schabert A (1982) Correlation between amplitude and frequency of spontaneous rhythmic contractions and the mean circumferential wall stress of a small muscular artery. In: Kenner T, Busse R, Hinghofer-Szalkay H (eds) Cardiovascular system dynamics. Models and measurement. Plenum Publish Comp. New York London, pp 363–372
Busse R, Bauer RD, Sattler T, Schabert A (1981) Dependence of elastic and viscous properties of elastic arteries on circumferential wall stress at two different smooth muscle tones. Pflügers Arch 390:113–119
Cooke PH, Fay FS (1972) Correlation between fiber length, ultrastructure, and the length-tension relationship of mammalian smooth muscle. J Cell Biol 52:105–116
Cox RH (1976) Effects of norepinephrine on mechanics of arteries in vitro. Am J Physiol 231:420–425
Cox RH (1978) Influence of muscle length on series elasticity in arterial smooth muscle. Am J Physiol 234:C146-C154
Cox RH (1978) Regional variation of series elasticity in canine arterial smooth muscles. Am J Physiol 234:H542-H551
Cox RH (1979) Comparison of arterial wall mechanics in normotensive and spontaneously hypertensive rats. Am J Physiol 237:H159-H167
Dobrin PB (1978) Mechanical properties of arteries. Physiol Rev 58:397–460
Dobrin PB, Canfield TR (1973) Series elastic and contractile elements in vascular smooth muscle. Circ Res 33:454–464
Dobrin PB, Rovick AA (1969) Influence of vascular smooth muscle on contractile mechanics and elasticity of arteries. Am J Physiol 217:1644–1652
Frisen M, Magi M, Sonnerup L, Viidik A (1969) Rheological analysis of soft collagen tissue. J Biomech 2:13–28
Gow BS (1972) The influence of vascular smooth muscle on the viscoelastic properties of blood vessels. In: Bergel DH (ed) Cardiovascular fluid dynamics, vol II. Academic Press, London New York, pp 65–110
Gow BS, Taylor MG (1968) Measurement of viscoelastic properties of arteries in the living dog. Circ Res 23:111–122
Hardung V (1953) Vergleichende Messungen der dynamischen Elastizität und Viskosität von Blutgefäßen, Kautschuk und synthetischen Elastomeren. Helv Physiol Pharmacol Acta 11:194–211
Hinke JAM, Wilson ML (1962) A study of elastic properties of a 550-μ artery in vitro. Am J Physiol 203:1153–1160
Huxley AF (1974) Muscle contraction. J Physiol (Lond) 243:1–43
Kapal E (1954) Die elastischen Eigenschaften der Aortenwand sowie des elastischen und kollagenen Bindegewebes bei frequenten zyklischen Beanspruchungen. Z Biol 107:347–404
Learoyd BM, Taylor MG (1966) Alterations with age in the viscolastic properties of human arterial walls. Circ Res 18:278–292
Minns RJ, Soden PD, Jackson DS (1973) The role of fibrous components and ground substance in mechanical properties of biological tissues. J Biomech 6:153–165
Monos E, Kovách AGB (1979) Effect of acute ischaemia on active and passive large deformation mechanics of canine carotid arteries. Acta Physiol Acad Sci Hung 54:23–31
Monos E, Hudetz AG, Cox RH (1975) Effect of smooth muscle activation on incremental elastic properties of major arteries. Acta Physiol Acad Sci Hung 53:31–39
Mulvany MJ, Warshaw DM (1981) The anatomical location of the series elastic component in rat vascular smooth muscle. J Physiol (Lond) 314:321–330
Murphy RA (1976) Contractile system function in mammalian smooth muscle. Blood Vessel 13:1–23
Newman DL, Grenwald SE (1982) The effect of smooth muscle activity on the static and dynamic elastic properties of the rabbit carotid artery. In: Kenner T, Busse R, Highofer-Szalkay H (eds) Cardiovascular system dynamics: models and measurements. Plenum Publish Comp, New York London, pp 393–402
Peiper U, Klemt P, Schleupner R (1978) The temperature dependence of parallel and series elastic elements in the vascular smooth muscle of the rat portal vein. Pflügers Arch 378:25–30
Remington JW (1955) Hysteresis loop behaviour of the aorta and other extensible tissues. Am J Physiol 180:83–95
Schabert A, Bauer RD, Busse R (1980) Photoelectric device for the recording of diameter changes of opaque and transparent blood vessels in vitro. Pflügers Arch 385:239–242
Siegmann MJ, Butler TM, Mooers SU, Davies RE (1976) Calcium-dependent resistance to stretch and stress-relaxation in resting smooth muscles. Am J Physiol 231:1501–1508
Somlyo AV (1980) Ultrastructure of vascular smooth muscle. In: Bohr DF, Somlyo AP, Sparks HV Jr (eds) Handbook of physiology, Section 2: The cardiovascular system, vol II. Am Physiol Soc, Bethesda, pp 33–67
Wetterer E, Kenner Th (1968) Grundlagen der Dynamik des Arterienpulses. Springer, Berlin Heidelberg New York, pp 144–159
Supported by the Deutsche Forschungsgemeinschaft (Bu 436/1)
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Busse, R., Sturm, K., Schabert, A. et al. The contribution of the parallel and series elastic components to the dynamic properties of the rat tail artery under two different smooth muscle tones. Pflugers Arch. 393, 328–333 (1982). https://doi.org/10.1007/BF00581419
- Rat tail artery
- Arterial wall viscosity
- Circumferential wall stress
- Dynamic elastic modulus
- Hill's three-element model
- Vascular smooth muscle