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Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney

Publication ,  Journal Article
Ciocanel, M-V; Stepien, T; Edwards, A; Layton, A
Published in: Association for Women in Mathematics Series
August 31, 2017

One of the key autoregulatory mechanisms that control blood flow in the kidney is the myogenic response. Subject to increased pressure, the renal afferent arteriole responds with an increase in muscle tone and a decrease in diameter. To investigate the myogenic response of an afferent arteriole segment of the rat kidney, we extend a mathematical model of an afferent arteriole cell. For each cell, we include detailed Ca2+ signaling, transmembrane transport of major ions, the kinetics of myosin light chain phosphorylation, as well as cellular contraction and wall mechanics. To model an afferent arteriole segment, a number of cell models are connected in series by gap junctions, which link the cytoplasm of neighboring cells. Blood flow through the afferent arteriole is modeled using Poiseuille flow. Simulation of an inflow pressure up-step leads to a decrease in the diameter for the proximal part of the vessel (vasoconstriction) and to an increase in proximal vessel diameter (vasodilation) for an inflow pressure down-step. Through its myogenic response, the afferent arteriole segment model yields approximately stable outflow pressure for a physiological range of inflow pressures (100–160 mmHg), consistent with experimental observations. The present model can be incorporated as a key component into models of integrated renal hemodynamic regulation.

Duke Scholars

Published In

Association for Women in Mathematics Series

DOI

Publication Date

August 31, 2017

Volume

8

Publisher

Springer, Cham
 

Citation

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Ciocanel, M.-V., Stepien, T., Edwards, A., & Layton, A. (2017). Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney. Association for Women in Mathematics Series, 8. https://doi.org/10.1007/978-3-319-60304-9_5
Ciocanel, Maria-Veronica, Tracy Stepien, Aurelie Edwards, and Anita Layton. “Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney.” Edited by Laura Miller. Association for Women in Mathematics Series 8 (August 31, 2017). https://doi.org/10.1007/978-3-319-60304-9_5.
Ciocanel M-V, Stepien T, Edwards A, Layton A. Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney. Miller L, editor. Association for Women in Mathematics Series. 2017 Aug 31;8.
Ciocanel, Maria-Veronica, et al. “Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney.” Association for Women in Mathematics Series, edited by Laura Miller, vol. 8, Springer, Cham, Aug. 2017. Manual, doi:10.1007/978-3-319-60304-9_5.
Ciocanel M-V, Stepien T, Edwards A, Layton A. Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney. Miller L, editor. Association for Women in Mathematics Series. Springer, Cham; 2017 Aug 31;8.

Published In

Association for Women in Mathematics Series

DOI

Publication Date

August 31, 2017

Volume

8

Publisher

Springer, Cham