Vasomotion and Myogenic Response of the Afferent Arteriole

  • Anita T. Layton
  • Aurélie Edwards
Part of the Lecture Notes on Mathematical Modelling in the Life Sciences book series (LMML)


In this chapter we introduce techniques for modeling the vasomotion and myogenic response of the afferent arteriole, which supplies blood to the nephron. We develop a mathematical model that simulates the spontaneous rhythmic activities exhibited by the renal afferent arteriole. That model consists of a system of coupled nonlinear ODEs, and is based on the well-known Morris-Lecar model. The afferent arteriole responds to luminal pressure elevation with constriction, and to pressure reduction with dilation. That response, which is called the myogenic response, can be modeled by incorporating into the above model a hypothesis that allows changes in hydrostatic pressure to cause appropriate changes in intracellular calcium concentration, thereby inducing vasoconstriction or vasodilation.


Vascular Smooth Muscle Cell Calcium Current Potassium Current Afferent Arteriole Myogenic Response 
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  1. Chen, J., Sgouralis, I., Moore, L.C., Layton, H.E., Layton, A.T.: A mathematical model of the myogenic response to systolic pressure in the afferent arteriole. Am. J. Physiol. Ren. Physiol. 300, F669–F681 (2011)Google Scholar
  2. Gonzalez-Fernandez, J.M., Ermentrout, B.: On the origin and dynamics of the vasomotion of small arteries. Math. Biosci. 119, 127–167 (1994)CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Anita T. Layton
    • 1
  • Aurélie Edwards
    • 2
  1. 1.Department of MathematicsDuke UniversityDurhamUSA
  2. 2.Centre de Recherche des Cordeliers ERL 8228, UMRS 1138 Equipe 3ParisFrance

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