Applicability of cable theory to vascular conducted responses

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Standard

Applicability of cable theory to vascular conducted responses. / Hald, Bjørn Olav; Jensen, Lars Jørn; Sørensen, Preben Graae; von Holstein-Rathlou, Niels-Henrik; Jacobsen, Jens Christian Brings.

In: Biophysical Journal, Vol. 102, No. 6, 2012, p. 1352-1362.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Hald, BO, Jensen, LJ, Sørensen, PG, von Holstein-Rathlou, N-H & Jacobsen, JCB 2012, 'Applicability of cable theory to vascular conducted responses', Biophysical Journal, vol. 102, no. 6, pp. 1352-1362. https://doi.org/10.1016/j.bpj.2012.01.055

APA

Hald, B. O., Jensen, L. J., Sørensen, P. G., von Holstein-Rathlou, N-H., & Jacobsen, J. C. B. (2012). Applicability of cable theory to vascular conducted responses. Biophysical Journal, 102(6), 1352-1362. https://doi.org/10.1016/j.bpj.2012.01.055

Vancouver

Hald BO, Jensen LJ, Sørensen PG, von Holstein-Rathlou N-H, Jacobsen JCB. Applicability of cable theory to vascular conducted responses. Biophysical Journal. 2012;102(6):1352-1362. https://doi.org/10.1016/j.bpj.2012.01.055

Author

Hald, Bjørn Olav ; Jensen, Lars Jørn ; Sørensen, Preben Graae ; von Holstein-Rathlou, Niels-Henrik ; Jacobsen, Jens Christian Brings. / Applicability of cable theory to vascular conducted responses. In: Biophysical Journal. 2012 ; Vol. 102, No. 6. pp. 1352-1362.

Bibtex

@article{8d5fd70325bb4451894fb4c0b8e12ef3,
title = "Applicability of cable theory to vascular conducted responses",
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, ¿, 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 ¿ 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, ¿ should be interpreted as a descriptive measure and not in light of cable theory. Determination of ¿ 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.",
author = "Hald, {Bj{\o}rn Olav} and Jensen, {Lars J{\o}rn} and S{\o}rensen, {Preben Graae} and {von Holstein-Rathlou}, Niels-Henrik and Jacobsen, {Jens Christian Brings}",
year = "2012",
doi = "10.1016/j.bpj.2012.01.055",
language = "English",
volume = "102",
pages = "1352--1362",
journal = "Biophysical Journal",
issn = "0006-3495",
publisher = "Cell Press",
number = "6",

}

RIS

TY - JOUR

T1 - Applicability of cable theory to vascular conducted responses

AU - Hald, Bjørn Olav

AU - Jensen, Lars Jørn

AU - Sørensen, Preben Graae

AU - von Holstein-Rathlou, Niels-Henrik

AU - Jacobsen, Jens Christian Brings

PY - 2012

Y1 - 2012

N2 - 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, ¿, 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 ¿ 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, ¿ should be interpreted as a descriptive measure and not in light of cable theory. Determination of ¿ 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.

AB - 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, ¿, 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 ¿ 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, ¿ should be interpreted as a descriptive measure and not in light of cable theory. Determination of ¿ 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.

U2 - 10.1016/j.bpj.2012.01.055

DO - 10.1016/j.bpj.2012.01.055

M3 - Journal article

C2 - 22455918

VL - 102

SP - 1352

EP - 1362

JO - Biophysical Journal

JF - Biophysical Journal

SN - 0006-3495

IS - 6

ER -

ID: 38105606