Publications [#336413] of Anita T. Layton

Papers Published

1. Wei, N; Layton, AT, Theoretical assessment of the Ca 2 + oscillations in the afferent arteriole smooth muscle cell of the rat kidney, International Journal of Biomathematics, vol. 11 no. 3 (April, 2018), pp. 1850043-1850043, World Scientific Pub Co Pte Lt [doi]
   (last updated on 2020/07/05)

   Abstract:
   © 2018 World Scientific Publishing Company. The afferent arteriole (AA) of rat kidney exhibits the myogenic response, in which the vessel constricts in response to an elevation in blood pressure and dilates in response to a pressure reduction. Additionally, the AA exhibits spontaneous oscillations in vascular tone at physiological luminal pressures. These time-periodic oscillations stem from the dynamic exchange of Ca2+ between the cytosol and the sarcoplasmic reticulum, coupled to the stimulation of Ca2+-activated potassium and chloride channels, and to the modulation of voltage-gated L-type Ca2+ channels. The effects of physiological factors, including blood pressure and vasoactive substances, on AA vasomotion remain to be well characterized. In this paper, we analyze a mathematical model of Ca2+ signaling in an AA smooth muscle cell. The model represents detailed transmembrane ionic transport, intracellular Ca2+ dynamics as well as kinetics of nitric oxide (NO) and superoxide (O2-) formation, diffusion and reaction. NO is an important factor in the maintenance of blood pressure and O2- has been shown to contribute significantly to the functional alternations of blood vessels in hypertension. We perform a bifurcation analysis of the model equations to assess the effect of luminal pressure, NO and O2- on the behaviors of limit cycle oscillations.