Measurement of the current–distance relationship using a novel refractory interaction technique
Open accessAbstract
It is important to know the spatial extent of neural activation around the stimulating electrodes when using extracellular electrical stimulation for the determination of the structure and function of neural circuit connections or for the restoration of function. The current-distance relationship quantifies the relationship between the threshold current for excitation of a neuron, I(th), and the distance between the electrode and the neuron, r, with two parameters: the offset, I(0), and the current-distance constant, k, with a quadratic equation, I(th)(r) = I(0) + kr(2). We proposed a new method to determine the parameters of the current-distance relationship, and thereby estimate the spatial extent of activation, based on the refractory interaction technique. Refractory interaction is a method that exploits the interaction between the regions of activation produced by two electrodes, when the second stimulus is delivered while neurons activated by the first electrode are in their refractory period. Computer simulations of electrical stimulation of a population of nerve fibers were used to determine the accuracy of the method. The mean relative error in k was 19% and in I(0) was 17%, and the spatial extent of stimulation could be determined with an absolute error of 19 microm and a relative error less than 11%. Subsequently, the method was applied to measure the current-distance properties of peripheral motor nerve fibers and indicated that k = 27 microA mm(-2) and I(0) = 49 microA. This method provided robust estimates of the current-distance properties, and provides a means to determine the spatial extent of activation by extracellular stimulation.
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Peripheral nerves have a highly branched structure and high person-to-person variability in anatomy, both in branching structure and in the location of fascicles that innervate specific muscles.
“Peripheral nerves, however, have a highly branched structure, and there is a high degree of person-to-person variability in the anatomy of those nerves, both in branching structure and in the location of fascicles that innervate specific muscles [7,8].”
From Optimization of selective stimulation parameters for multi-contact electrodes (2013) · cites this paper as [8]
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The NEURON Simulation Environment
Hines, M. L., & Carnevale, N. T. (1997) · Neural Computation · doi:10.1162/neco.1997.9.6.1179 · Cited by 2,630 · see citing works
Which elements are excited in electrical stimulation of mammalian central nervous system: A review
Ranck, J. B. (1975) · Brain Research · doi:10.1016/0006-8993(75)90364-9 · Cited by 2,024 · see citing works
McIntyre, C. C., Richardson, A. G., & Grill, W. M. (2002) · Journal of Neurophysiology · doi:10.1152/jn.00353.2001 · Cited by 764 · see citing works
Self-citationStoney, S. D., Thompson, W., & Asanuma, H. (1968) · Journal of Neurophysiology · doi:10.1152/jn.1968.31.5.659 · Cited by 670 · see citing works
Electrical stimulation of neural tissue to evoke behavioral responses
Tehovnik, E. J. (1996) · Journal of Neuroscience Methods · doi:10.1016/0165-0270(95)00131-x · Cited by 478 · see citing works
Numbers and contraction-values of individual motor-units examined in some muscles of the limb
Eccles, J. C., & Sherrington, C. (1930) · Proceedings of the Royal Society of London Series B Containing Papers of a Biological Character · doi:10.1098/rspb.1930.0032 · Cited by 377 · see citing works
Direct and indirect activation of nerve cells by electrical pulses applied extracellularly.
Gustafsson, B., & Jankowska, E. (1976) · The Journal of Physiology · doi:10.1113/jphysiol.1976.sp011405 · Cited by 276 · see citing works
The effect of stimulus pulse duration on selectivity of neural stimulation
Grill, W. M., & Mortimer, J. T. (1996) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.481985 · Cited by 215 · see citing works
Self-citationMeasurement of current spread from microelectrodes when stimulating within the nervous system
Bagshaw, E. V., & Evans, M. H. (1976) · Experimental Brain Research · doi:10.1007/bf00241729 · Cited by 183 · see citing works
A quantitative study of electrical stimulation of central myelinated fibers
BeMent, S. L., & Ranck, J. B. (1969) · Experimental Neurology · doi:10.1016/0014-4886(69)90012-0 · Cited by 155 · see citing works
Principles of brain stimulation
(1991) · General Pharmacology The Vascular System · doi:10.1016/0306-3623(91)90108-i · Cited by 139 · see citing works
Grill, W. M., & Mclntyre, C. C. (2001) · Thalamus & Related Systems · doi:10.1016/s1472-9288(01)00025-5 · Cited by 104 · see citing works
Self-citationNeuroprosthetic Applications of Electrical Stimulation
Grill, W. M., & Kirsch, R. F. (2000) · Assistive Technology · doi:10.1080/10400435.2000.10132006 · Cited by 89 · see citing works
Self-citationStimulation of pre- and postsynaptic elements in the red nucleus
Baldissera, F. G., Lundberg, A., & Masao, U. D. O. (1972) · Experimental Brain Research · doi:10.1007/bf00235579 · Cited by 89 · see citing works
Principles of brain stimulation
Gardner, E. L. (1991) · Comparative Biochemistry and Physiology Part A Physiology · doi:10.1016/0300-9629(91)90166-a · Cited by 72 · see citing works
A model for electrcal stimulation of central myelinated fibers with monopolar electrodes
BeMent, S. L., & Ranck, J. B. (1969) · Experimental Neurology · doi:10.1016/0014-4886(69)90013-2 · Cited by 58 · see citing works
Hentall, I. D., Zorman, G., Kansky, S., & Fields, H. L. (1984) · Journal of Neurophysiology · doi:10.1152/jn.1984.51.5.968 · Cited by 58 · see citing works
Grill, W. M., & Mclntyre, C. C. (2001) · Thalamus & Related Systems · doi:10.1017/s1472928801000255 · Cited by 54 · see citing works
Self-citationCurrent-distance relation for rewarding brain stimulation
Fouriezos, G., & Wise, R. A. (1984) · Behavioural Brain Research · doi:10.1016/0166-4328(84)90023-8 · Cited by 53 · see citing works
Transverse tripolar stimulation of peripheral nerve: a modelling study of spatial selectivity
Deurloo, K. E. I., Holsheimer, J., & Boom, H. B. K. (1998) · Medical & Biological Engineering & Computing · doi:10.1007/bf02522860 · Cited by 40 · see citing works
Current-distance relations of axons mediating circling elicited by midbrain stimulation
Yeomans, J. S., Prior, P. N., & Bateman, F. (1986) · Brain Research · doi:10.1016/0006-8993(86)91462-9 · Cited by 37 · see citing works
Intraspinal Microstimulation using Cylindrical Multielectrodes
Snow, S., Horch, K. W., & Mushahwar, V. K. (2006) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2005.857638 · Cited by 33 · see citing works
Current flow into a three‐dimensionally anisotropic conductor
Wait, J. R. (1990) · Radio Science · doi:10.1029/rs025i005p00689 · Cited by 32 · see citing works
Current Distance Relations for Fiber Stimulation With Pointsources
Rattay, F. (2008) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2008.915676 · Cited by 27 · see citing works
Experimental models for current conduction in an anisotropic medium
Nicholson, P. V. (1967) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1967.4502464 · Cited by 18 · see citing works
A method for evaluating the selectivity of electrodes implanted for nerve simulation
Liang, D. H., Kovacs, G. T. A., Storment, C. W., & White, R. L. (1991) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.81563 · Cited by 12 · see citing works
Computational evaluation of methods for measuring the spatial extent of neural activation
Mahnam, A., Hashemi, S. M. R., & Grill, W. M. (2008) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2008.05.019 · Cited by 9 · see citing works
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Optimization of selective stimulation parameters for multi-contact electrodes
Fisher, L. E., Tyler, D. J., & Triolo, R. J. (2013) · Journal of NeuroEngineering and Rehabilitation · doi:10.1186/1743-0003-10-25 · Cited by 45 · see citing works
Charkhkar, H., Christie, B. P., Pinault, G. J., Tyler, D. J., & Triolo, R. J. (2019) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2019.108414 · Cited by 19 · see citing works
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Donohoe, M., Jennings, B., Jornet, J. M., & Balasubramaniam, S. (2017) · IEEE Transactions on Nanotechnology · doi:10.1109/tnano.2017.2723658 · Cited by 19 · see citing works
Dowden, B. R., Frankel, M. A., Normann, R. A., & Clark, G. A. (2011) · Journal of Neural Engineering · doi:10.1088/1741-2560/9/1/016006 · Cited by 11 · see citing works
Improving Neuroprosthesis-Assisted Standing with Nerve-Based Stimulating Electrodes
Fisher, L. E. (2012) · OhioLink ETD Center (Ohio Library and Information Network) · Cited by 3 · see citing works
Mahnam, A., Hashemi, S. M. R., Firoozabadi, M., & Janahmadi, M. (2010) · National and International Iranian Conference on Biomedical Engineering (ICBME) · doi:10.1109/icbme.2010.5704980
Self-citationHokanson, J. (2014) · D-Scholarship@Pitt (University of Pittsburgh)
The Electrode – Principles of the Neural Interface
McIntyre, C. C. (2011) · Elsevier eBooks · doi:10.1016/b978-0-12-381409-8.00007-3
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Block, J., & Ball, H. T. (2026) · Springer eBooks · doi:10.1007/978-3-032-12571-2_30
- Authors
- Mahnam, A., Hashemi, S. M. R., & Grill, W. M.
- Affiliations
- Duke University (US)
- Amirkabir University of Technology (IR)
- Venue
- Journal of Neural Engineering
- Publisher
- IOP Publishing
- Published
- 2009-05-20
- Volume
- 6
- Issue
- 3
- Pages
- 036005
- ISSN
- 1741-2552 (ISSN-L)
- 1741-2560
- PMC
- PMC3066195
- OpenAlex
- W2052819534
- Cited by
- 9
- References
- 26
- Citations by year
- 2026: 1 · 2019: 1 · 2017: 1 · 2014: 1 · 2013: 1 · 2012: 1
- FWCI
- 0.55
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Journal of Neural Engineering (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institute of Neurological Disorders and Stroke (R01NS040894)
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
- Life Sciences › Neuroscience › Cognitive Neuroscience › Undergraduate Neuroscience Education and Research
- Life Sciences › Neuroscience › Neurology › Vagus Nerve Stimulation Research
- Keywords
- extracellular electrical stimulation, stimulation threshold
- MeSH terms
- Animals, Computer Simulation, Electric Stimulation, Humans, Models, Neurological, Nerve Fibers, Nerve Net, Refractory Period, Electrophysiological
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