ArticleBiophysical journal2012
Applicability of cable theory to vascular conducted responses.
Article in Biophysical journal, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed, 22 citations in OpenAlex.
- Simulation of Conducted Responses in Microvascular Networks: Role of Gap Junction Current Rectification.Microcirculation (New York, N.Y. : 1994) · 2025Article
- Rude mechanicals in brain haemodynamics: non-neural actors that influence blood flow.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2021Article
- Article
- Overview of mathematical modeling of myocardial blood flow regulation.American journal of physiology. Heart and circulatory physiology · 2020Review
- Biophysical properties of microvascular endothelium: Requirements for initiating and conducting electrical signals.Microcirculation (New York, N.Y. : 1994) · 2018Article
- Integrative model of coronary flow in anatomically based vasculature under myogenic, shear, and metabolic regulation.The Journal of general physiology · 2018Article
- KJournal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism · 2017Article
- Origins of variation in conducted vasomotor responses.Pflugers Archiv : European journal of physiology · 2015Article
- Conducted vasoreactivity: the dynamical point of view.Bulletin of mathematical biology · 2015Article
- Gap junctions suppress electrical but not [Ca(2+)] heterogeneity in resistance arteries.Biophysical journal · 2014Article
- Less is more: minimal expression of myoendothelial gap junctions optimizes cell-cell communication in virtual arterioles.The Journal of physiology · 2014Article
- The vascular conducted response in cerebral blood flow regulation.Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism · 2013Review
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Authors and funding
5 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Conduction processes in the vasculature have traditionally been described using cable theory, i.e., locally induced signals decaying passively along the arteriolar wall. The decay is typically quantified using the steady-state length-constant, λ, derived from cable theory. However, the applicability of cable theory to blood vessels depends on assumptions that are not necessarily fulfilled in small arteries and arterioles. We have employed a morphologically and electrophysiologically detailed mathematical model of a rat mesenteric arteriole to investigate if the assumptions hold and whether λ adequately describes simulated conduction profiles. We find that several important cable theory assumptions are violated when applied to small blood vessels. However, the phenomenological use of a length-constant from a single exponential function is a good measure of conduction length. Hence, λ should be interpreted as a descriptive measure and not in light of cable theory. Determination of λ using cable theory assumes steady-state conditions. In contrast, using the model it is possible to probe how conduction behaves before steady state is achieved. As ion channels have time-dependent activation and inactivation, the conduction profile changes considerably during this dynamic period with an initially longer spread of current. This may have implications in relation to explaining why different agonists have different conduction properties. Also, it illustrates the necessity of using and developing models that handle the nonlinearity of ion channels.
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