ArticleAmerican journal of physiology. Renal physiology2011
A mathematical model of the myogenic response to systolic pressure in the afferent arteriole.
Article in American journal of physiology. Renal physiology, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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Who cites it
20 citing papers in PubMed, 51 citations in OpenAlex.
- Modeling Reactive Hyperemia to Better Understand and Assess Microvascular Function: A Review of Techniques.Annals of biomedical engineering · 2023Review
- Sex-Specific Computational Models of Kidney Function in Patients With Diabetes.Frontiers in physiology · 2022Article
- Hybrid computational modeling demonstrates the utility of simulating complex cellular networks in type 1 diabetes.PLoS computational biology · 2021Article
- Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat.Mathematical medicine and biology : a journal of the IMA · 2017Article
- Multiscale modeling methods in biomechanics.Wiley interdisciplinary reviews. Systems biology and medicine · 2017Review
- Transfer Function Analysis of Dynamic Blood Flow Control in the Rat Kidney.Bulletin of mathematical biology · 2016Article
- Conduction of feedback-mediated signal in a computational model of coupled nephrons.Mathematical medicine and biology : a journal of the IMA · 2016Article
- Mathematical modeling of renal hemodynamics in physiology and pathophysiology.Mathematical biosciences · 2015Article
- Renal autoregulation in health and disease.Physiological reviews · 2015Review
- Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: a modeling study.Physiological reports · 2015Article
- Theoretical assessment of renal autoregulatory mechanisms.American journal of physiology. Renal physiology · 2014Article
- Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model.American journal of physiology. Renal physiology · 2014Article
- Calcium dynamics underlying the myogenic response of the renal afferent arteriole.American journal of physiology. Renal physiology · 2014Article
- Control and modulation of fluid flow in the rat kidney.Bulletin of mathematical biology · 2013Article
- Renal microvascular dysfunction, hypertension and CKD progression.Current opinion in nephrology and hypertension · 2013Review
- Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole.American journal of physiology. Renal physiology · 2012Article
- Modeling Transport and Flow Regulatory Mechanisms of the Kidney.ISRN biomathematics · 2012Article
- Delayed graft function in the kidney transplant.American journal of transplantation : official journal of the American Society of Transplantation and the American Society of Transplant Surgeons · 2011Review
- Mechanical control of cation channels in the myogenic response.American journal of physiology. Heart and circulatory physiology · 2011Article
- Mathematical modeling of kidney transport.Wiley interdisciplinary reviews. Systems biology and medicineReview
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5 authors at 2 institutions in 1 country.
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Abstract
Elevations in systolic blood pressure are believed to be closely linked to the pathogenesis and progression of renal diseases. It has been hypothesized that the afferent arteriole (AA) protects the glomerulus from the damaging effects of hypertension by sensing increases in systolic blood pressure and responding with a compensatory vasoconstriction (Loutzenhiser R, Bidani A, Chilton L. Circ Res 90: 1316-1324, 2002). To investigate this hypothesis, we developed a mathematical model of the myogenic response of an AA wall, based on an arteriole model (Gonzalez-Fernandez JM, Ermentrout B. Math Biosci 119: 127-167, 1994). The model incorporates ionic transport, cell membrane potential, contraction of the AA smooth muscle cell, and the mechanics of a thick-walled cylinder. The model represents a myogenic response based on a pressure-induced shift in the voltage dependence of calcium channel openings: with increasing transmural pressure, model vessel diameter decreases; and with decreasing pressure, vessel diameter increases. Furthermore, the model myogenic mechanism includes a rate-sensitive component that yields constriction and dilation kinetics similar to behaviors observed in vitro. A parameter set is identified based on physical dimensions of an AA in a rat kidney. Model results suggest that the interaction of Ca(2+) and K(+) fluxes mediated by voltage-gated and voltage-calcium-gated channels, respectively, gives rise to periodicity in the transport of the two ions. This results in a time-periodic cytoplasmic calcium concentration, myosin light chain phosphorylation, and cross-bridge formation with the attending muscle stress. Furthermore, the model predicts myogenic responses that agree with experimental observations, most notably those which demonstrate that the renal AA constricts in response to increases in both steady and systolic blood pressures. The myogenic model captures these essential functions of the renal AA, and it may prove useful as a fundamental component in a multiscale model of the renal microvasculature suitable for investigations of the pathogenesis of hypertensive renal diseases.
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