Abstract
An electrical model of the propagation of the action potential is presented. It consists of an array of reactive cell units. Each unit is stimulated by a signal that is composed of the rising parts of the action potentials generated by the cells in a neighbouring reactive unit. The electrical model used for the reactive unit is based on processes occurring in the cell membranes. By means of the model the reduction in the propagation velocity and the associated changes in the shape of the action potential that are observed under certain conditions can be stimulated. It is concluded that threshold phenomena, in particular refractory behaviour of the ureteral tissue, play an important role in velocity of propagation of peristaltic waves. It seems likely that there is a trend in refractoriness along the ureter, which may cause non-uniformity of the propagation velocity.
Measurement of this non-uniformity is suggested at a means of assessing the quality of conduction in the ureter.
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References
Beeler GW, Reuter H (1977) Reconstruction of the action potential of ventricular myocardial fibres. J Biophysics 177
Bozler E (1938) Electric stimulation and conduction of excitation in smooth muscle. Am J Physiol 122:614
Butcher HR, Sleator W, Schmandt KIP (1957) A study of the peristaltic conduction mechanism in the canine ureter. J Urology 78:231
Duyl WA van (1984) Theory of the propagation of peristaltic waves along the ureter and their simulation in an electronic model. Urology XXIV–5:511
Duyl WA van (1985a) Modelling of the electrical activity of the ureter. In:Singh M (ed) Encyclopedea of systems and control. Pergamon Press, New York
Duyl WA van (1985b) An electric analogon of ureter membrane processes. In preparation
Duyl WA van, Brans JM, Coolsaet BLRA, Grashuis JL, Kingma YJ (1978) Provisional model for propagation of electrical activity in upper urinary tract. Urology XII-6:736
George EP (1961) Resistance values in a syncitium. Austr J Exp Biol Med Sci 39:267
Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conductance and excitation in nerve. J Physiol 117:500
Kobayashi M, Irisawa H (1964) Effect of sodium deficiency on the action potential of the smooth muscle of ureter. Am J Phys 206:205
Nagai T, Prosser CL (1963) Electrical parameters of smooth muscle cells. Am J Physiol 204(5):915
Ramon F, Anderson NC, Joymer RW, More JWA (1976) A model for propagation of action potentials in smooth muscle. J Theor Biol 59:381
Sarna SK, Daniel EE, Kingma YJ (1971) Simulation of slow wave electrical activity of small intestine. Am J Phys 221:166
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© 1985 Springer-Verlag Berlin Heidelberg
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van Duyl, W.A. (1985). Modelling of the Propagation of an Action Potential Along the Ureter. In: Lutzeyer, W., Hannappel, J. (eds) Urodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70436-9_3
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DOI: https://doi.org/10.1007/978-3-642-70436-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-70438-3
Online ISBN: 978-3-642-70436-9
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