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  1. Medical and Biological Engineering and Computing
  2. Medical and Biological Engineering and Computing : Volume 50
  3. Medical and Biological Engineering and Computing : Volume 50, Issue 3, March 2012
  4. Asymptotic model of electrical stimulation of nerve fibers
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Medical and Biological Engineering and Computing : Volume 55
Medical and Biological Engineering and Computing : Volume 54
Medical and Biological Engineering and Computing : Volume 53
Medical and Biological Engineering and Computing : Volume 52
Medical and Biological Engineering and Computing : Volume 51
Medical and Biological Engineering and Computing : Volume 50
Medical and Biological Engineering and Computing : Volume 50, Issue 12, December 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 11, November 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 10, October 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 9, September 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 8, August 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 7, July 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 6, June 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 5, May 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 4, April 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 3, March 2012
An explanation for the effectiveness of the ‘Draijer’ algorithm for high speed laser Doppler perfusion imaging
Indirect measurement of pinch and pull forces at the shaft of laparoscopic graspers
Error potential detection during continuous movement of an artificial arm controlled by brain–computer interface
Robust extraction of P300 using constrained ICA for BCI applications
Asymptotic model of electrical stimulation of nerve fibers
Wear analysis of chamfered elongated acetabular cup liners
Point process time–frequency analysis of dynamic respiratory patterns during meditation practice
Modeling hemodynamics in an unoccluded and partially occluded inferior vena cava under rest and exercise conditions
Targeting an efficient target-to-target interval for P300 speller brain–computer interfaces
Acoustic breath-phase detection using tracheal breath sounds
The theory of velocity selective neural recording: a study based on simulation
Medical and Biological Engineering and Computing : Volume 50, Issue 2, February 2012
Medical and Biological Engineering and Computing : Volume 50, Issue 1, January 2012
Medical and Biological Engineering and Computing : Volume 49
Medical and Biological Engineering and Computing : Volume 48
Medical and Biological Engineering and Computing : Volume 47
Medical and Biological Engineering and Computing : Volume 46
Medical and Biological Engineering and Computing : Volume 45
Medical and Biological Engineering and Computing : Volume 44
Medical and Biological Engineering and Computing : Volume 43
Medical and Biological Engineering and Computing : Volume 42
Medical and Biological Engineering and Computing : Volume 41
Medical and Biological Engineering and Computing : Volume 40
Medical and Biological Engineering and Computing : Volume 39
Medical and Biological Engineering and Computing : Volume 38
Medical and Biological Engineering and Computing : Volume 37
Medical and Biological Engineering and Computing : Volume 36
Medical and Biological Engineering and Computing : Volume 35

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Asymptotic model of electrical stimulation of nerve fibers

Content Provider SpringerLink
Author Cranford, Jonathan P. Kim, Brian J. Krassowska Neu, Wanda
Copyright Year 2012
Abstract We present a novel theory and computational algorithm for modeling electrical stimulation of nerve fibers in three dimensions. Our approach uses singular perturbation to separate the full 3D boundary value problem into a set of 2D “transverse” problems coupled with a 1D “longitudinal” problem. The resulting asymptotic model contains not one but two activating functions (AF): the longitudinal AF that drives the slow development of the mean transmembrane potential and the transverse AF that drives the rapid polarization of the fiber in the transverse direction. The asymptotic model is implemented for a prototype 3D cylindrical fiber with a passive membrane in an isotropic extracellular region. The validity of this approach is tested by comparing the numerical solution of the asymptotic model to the analytical solutions. The results show that the asymptotic model predicts steady-state transmembrane potential directly under the electrodes with the root mean square error of 0.539 mV, i.e., 1.04% of the maximum transmembrane potential. Thus, this work has created a computationally efficient algorithm that facilitates studies of the complete spatiotemporal dynamics of nerve fibers in three dimensions.
Starting Page 243
Ending Page 251
Page Count 9
File Format PDF
ISSN 01400118
Journal Medical and Biological Engineering and Computing
Volume Number 50
Issue Number 3
e-ISSN 17410444
Language English
Publisher Springer-Verlag
Publisher Date 2012-02-21
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Electric potential Passive fiber Cable equation Activating function Transverse field Human Physiology Computer Applications Imaging Radiology Biomedical Engineering
Content Type Text
Resource Type Article
Subject Biomedical Engineering Computer Science Applications
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