ArticleAmerican journal of physiology. Renal physiology2012
Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole.
Article in American journal of physiology. Renal physiology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 24 papers.
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Who cites it
24 citing papers in PubMed, 51 citations in OpenAlex.
- Bioadhesive and conformable bioelectronic interfaces for vasomotoricity monitoring and regulation.Nature communications · 2025Article
- Purinergic Receptor Activation Protects Glomerular Microvasculature from Increased Mechanical Stress in Angiotensin II-Induced Hypertension: A Modeling Study.International journal of molecular sciences · 2025Article
- The conducted vasomotor response and the principles of electrical communication in resistance arteries.Physiological reviews · 2024Review
- Modeling the interaction between tubuloglomerular feedback and myogenic mechanisms in the control of glomerular mechanics.Frontiers in physiology · 2024Article
- Sex-specific computational models for blood pressure regulation in the rat.American journal of physiology. Renal physiology · 2020Article
- Functional implications of the sex differences in transporter abundance along the rat nephron: modeling and analysis.American journal of physiology. Renal physiology · 2019Article
- Endothelin receptor A and p66Shc regulate spontaneous CaFASEB journal : official publication of the Federation of American Societies for Experimental Biology · 2019Article
- Sex-specific long-term blood pressure regulation: Modeling and analysis.Computers in biology and medicine · 2019Article
- Functional implications of sexual dimorphism of transporter patterns along the rat proximal tubule: modeling and analysis.American journal of physiology. Renal physiology · 2018Article
- Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat.Mathematical medicine and biology : a journal of the IMA · 2017Article
- p66Shc regulates renal vascular tone in hypertension-induced nephropathy.The Journal of clinical investigation · 2016Article
- 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
- Predicted effects of nitric oxide and superoxide on the vasoactivity of the afferent arteriole.American journal of physiology. Renal physiology · 2015Article
- 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
- Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney.Journal of mathematical biology · 2014Article
- Parametric transfer function analysis and modeling of blood flow autoregulation in the optic nerve head.International journal of physiology, pathophysiology and pharmacology · 2014Article
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
We have formulated a mathematical model for the rat afferent arteriole (AA). Our model consists of a series of arteriolar smooth muscle cells and endothelial cells, each of which represents ion transport, cell membrane potential, and gap junction coupling. Cellular contraction and wall mechanics are also represented for the smooth muscle cells. Blood flow through the AA lumen is described by Poiseuille flow. The AA model's representation of the myogenic response is based on the hypothesis that changes in hydrostatic pressure induce changes in the activity of nonselective cation channels. The resulting changes in membrane potential then affect calcium influx through changes in the activity of the voltage-gated calcium channels, so that vessel diameter decreases with increasing pressure values. With this configuration, the model AA maintains roughly stable renal blood flow within a physiologic range of blood flow pressure. Model simulation of vasoconstriction initiated from local stimulation also agrees well with findings in the experimental literature, notably those of Steinhausen et al. (Steinhausen M, Endlich K, Nobiling R, Rarekh N, Schütt F. J Physiol 505: 493-501, 1997), which indicated that conduction of vasoconstrictive response decays more rapidly in the upstream flow direction than downstream. The model can be incorporated into models of integrated renal hemodynamic regulation.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.