Current Density Profiles of Surface Mounted and Recessed Electrodes for Neural Prostheses
Abstract
A Green's function approach has been used to solve Lapalce's equation for the quasi-static fields of a recessed, disk electrode. The resulting integral equation was solved numerically using the moment method. An analysis of the error in the approximate solution shows that it must be less than 7 percent for the cases studied. The calculations indicate that a recessed electrode has a more uniform current density profile than a surface mounted electrode. This is true both at the electrode surface, and at the electrode carrier-tissue junction. The significance of this finding is discussed as is its application to electrochemical, histopathological, and physiological studies of neural prostheses. The clinical use of recessed electrodes in cochlear implants is recommended.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
For large electrodes used in some simulated studies, current intensity can be five-fold higher at the edge of the electrode than in the middle.
“However in practice current “pools” around the edge of electrodes87,88 – for the large electrodes used in some of the studies we simulated, current intensity can be five-fold higher at the edge of the electrode than in the middle.”
From A virtual patient simulation modeling the neural and perceptual effects of human visual cortical stimulation, from pulse trains to percepts (2024) · cites this paper as [87]
Cites
Table of Integrals, Series and Products.
L., Y., Gradshteyn, I. S., & RYZHIK, I. M. (1981) · Mathematics of Computation · doi:10.2307/2007757 · Cited by 8,572 · see citing works
Handbook of Mathematical Functions.
Florentin, J. J., Abramowitz, M., & Stegun, I. A. (1966) · American Mathematical Monthly · doi:10.2307/2314682 · Cited by 7,613 · see citing works
Methods of theoretical physics
Domenicali, C. A. (1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90634-1 · Cited by 4,893 · see citing works
Field Computation by Moment Methods
Jones, D. S. (1969) · The Computer Journal · doi:10.1093/comjnl/12.1.37 · Cited by 3,485 · see citing works
Mixed Boundary-Value Problems in Potential Theory
England, A. H. (1979) · Proceedings of the Edinburgh Mathematical Society · doi:10.1017/s0013091500016205 · Cited by 598 · see citing works
Brummer, S. B., & Turner, M. J. (1977) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1977.326218 · Cited by 360 · see citing works
Plonsey, R. (1999) · Wiley Encyclopedia of Electrical and Electronics Engineering · doi:10.1002/047134608x.w1403 · Cited by 336 · see citing works
Electrical Stimulation of the Brain
MCCRUM, W. R. (1962) · American Journal of Psychiatry · doi:10.1176/ajp.119.4.389-a · Cited by 312 · see citing works
Electrodes and the measurement of bioelectric events
Shipton, H. W. (1973) · Electroencephalography and Clinical Neurophysiology · doi:10.1016/0013-4694(73)90185-5 · Cited by 303 · see citing works
Current Distribution on a Rotating Disk below the Limiting Current
Newman, J. S. (1966) · Journal of The Electrochemical Society · doi:10.1149/1.2423795 · Cited by 230 · see citing works
Activated Ir: An Electrode Suitable for Reversible Charge Injection in Saline Solution
Robblee, L. S., Lefko, J. L., & Brummer, S. B. (1983) · Journal of The Electrochemical Society · doi:10.1149/1.2119793 · Cited by 228 · see citing works
Brummer, S. B., & Turner, M. J. (1977) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1977.326179 · Cited by 217 · see citing works
Brummer, S. B., Robblee, L. S., & Hambrecht, F. T. (1983) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1983.tb31628.x · Cited by 205 · see citing works
Analysis and Control of the Current Distribution under Circular Dispersive Electrodes
Wiley, J. D., & Webster, J. G. (1982) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1982.324910 · Cited by 183 · see citing works
Partial differential equations
Rota, G. (1977) · Advances in Mathematics · doi:10.1016/0001-8708(77)90053-6 · Cited by 168 · see citing works
Electrical stimulation of the brain. III. The neural damage model.
Pudenz, R. H., Bullara, L. A., Jacques, S., & Hambrecht, F. T. (1975) · PubMed · Cited by 145 · see citing works
Brummer, S. B., & Turner, M. J. (1975) · Bioelectrochemistry and Bioenergetics · doi:10.1016/0302-4598(75)80002-x · Cited by 132 · see citing works
Characteristics of the Metal-Tissue Interface of Stimulation Electrodes
Dymond, A. M. (1976) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1976.324585 · Cited by 123 · see citing works
Electrical stimulation with Pt electrodes. V. The effect of protein on Pt dissolution
Robblee, L. S., McHardy, J., Marston, J. M., & Brummer, S. B. (1980) · Biomaterials · doi:10.1016/0142-9612(80)90035-6 · Cited by 117 · see citing works
Brummer, S. B., McHardy, J., & Turner, M. J. (2008) · Brain Behavior and Evolution · doi:10.1159/000124611 · Cited by 106 · see citing works
An analysis of electrical properties of metal electrodes
Weinman, J., & Mahler, J. (1964) · Medical & Biological Engineering & Computing · doi:10.1007/bf02474626 · Cited by 104 · see citing works
McHardy, J., Robblee, L. S., Marston, J. M., & Brummer, S. B. (1980) · Biomaterials · doi:10.1016/0142-9612(80)90034-4 · Cited by 91 · see citing works
Electrical Stimulation with Pt Electrodes: AMethod for Determination of "Real" Electrode Areas
Brummer, S. B., & Turner, M. J. (1977) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1977.326178 · Cited by 91 · see citing works
Theory and design of capacitor electrodes for chronic stimulation
Guyton, D. L., & Hambrecht, F. T. (1974) · Medical & Biological Engineering & Computing · doi:10.1007/bf02477223 · Cited by 75 · see citing works
Hambrecht, F. T. (1979) · Annual Review of Biophysics and Bioengineering · doi:10.1146/annurev.bb.08.060179.001323 · Cited by 75 · see citing works
DESIGN AND FABRICATION OF THE BANDED ELECTRODE ARRAYa
Clark, G. M., Shepherd, R. K., Patrick, J. F., et al. (1983) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1983.tb31632.x · Cited by 53 · see citing works
Optimal Electrode Designs for Electrosurgery, Defibrillation, and External Cardiac Pacing
Kim, Y., Fahy, J. B., & Tupper, B. J. (1986) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1986.325778 · Cited by 44 · see citing works
Ueber die Besselschen Functionen und ihre Anwendung auf die Theorie der elektrischen Ströme.
Weber, H. (1873) · Journal für die reine und angewandte Mathematik (Crelles Journal) · doi:10.1515/crll.1873.75.75 · Cited by 42 · see citing works
A tantalum-on-sapphire microelectrode array
May, G. A., Shamma, S., & White, R. L. (1979) · IEEE Transactions on Electron Devices · doi:10.1109/t-ed.1979.19798 · Cited by 41 · see citing works
Scanning electron microscopy of chronically stimulated platinum intracochlear electrodes
Shepherd, R. K., Murray, M. T., Hougiton, M. E., & Clark, G. M. (1985) · Biomaterials · doi:10.1016/0142-9612(85)90019-5 · Cited by 39 · see citing works
Functional electrical stimulation
Grant, L. J. (1988) · IEE Review · doi:10.1049/ir:19880186 · Cited by 37 · see citing works
Buckley, R. V. (1988) · doi:10.1007/978-1-349-09809-5_3 · Cited by 30 · see citing works
Electrical Stimulation Research Techniques
Rothwell, J. C. (1982) · Journal of Neurology Neurosurgery & Psychiatry · doi:10.1136/jnnp.45.6.571-b · Cited by 26 · see citing works
An Experimental Study of Nonuniform Current Distribution at Rotating Disk Electrodes
Bruckenstein, S., & Miller, B. I. (1970) · Journal of The Electrochemical Society · doi:10.1149/1.2407716 · Cited by 22 · see citing works
Preparation of etched tantalum semimicro capacitor stimulation electrodes
Robblee, L. S., Kelliher, E. M., LANGMUIR, M. E., et al. (1983) · Journal of Biomedical Materials Research · doi:10.1002/jbm.820170210 · Cited by 17 · see citing works
Mechanisms of Electrically Induced Damage after Cochlear Implantation
Duckert, L. G., & Miller, J. M. (1986) · Annals of Otology Rhinology & Laryngology · doi:10.1177/000348948609500216 · Cited by 9 · see citing works
Comparison of Geometric and “Real” Surface Areas of Cochlear Electrodes
Rizer, F. M., Duckert, L. G., & Spelman, F. A. (1983) · Otolaryngology · doi:10.1177/019459988309100414 · Cited by 2 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
A model of safe levels for electrical stimulation
Shannon, R. V. (1992) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.126616 · Cited by 526 · see citing works
Tissue damage thresholds during therapeutic electrical stimulation
Cogan, S. F., Ludwig, K. A., Welle, C. G., & Takmakov, P. (2016) · Journal of Neural Engineering · doi:10.1088/1741-2560/13/2/021001 · Cited by 386 · see citing works
Safety of long-term electrical peripheral nerve stimulation: review of the state of the art
Günter, C., Delbeke, J., & Ortiz-Catalan, M. (2019) · Journal of NeuroEngineering and Rehabilitation · doi:10.1186/s12984-018-0474-8 · Cited by 198 · see citing works
Factors affecting perceptual thresholds in epiretinal prostheses
de Balthasar, C., Patel, S., Roy, A., Freda, R., Greenwald, S., Horsager, A., Mahadevappa, M., Yanai, D., McMahon, M. J., Humayun, M. S., et al. (2008) · Investigative Opthalmology & Visual Science · doi:10.1167/iovs.07-0696 · Cited by 204 · see citing works
Principles of electrical stimulation of neural tissue
(2013) · Handbook of Clinical Neurology · doi:10.1016/b978-0-444-53497-2.00001-2 · Cited by 151 · see citing works
Amorphous silicon carbide ultramicroelectrode arrays for neural stimulation and recording
Deku, F., Cohen, Y., Joshi-Imre, A., Kanneganti, A., Gardner, T. J., & Cogan, S. F. (2018) · Journal of Neural Engineering · doi:10.1088/1741-2552/aa8f8b · Cited by 89 · see citing works
Suesserman, M. F., Spelman, F. A., & Rubinstein, J. T. (1991) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.81558 · Cited by 83 · see citing works
Self-citationFine, I., & Boynton, G. M. (2024) · Scientific Reports · doi:10.1038/s41598-024-65337-1 · Cited by 19 · see citing works
- Authors
- Rubinstein, J. T., Spelman, F. A., Soma, M., & Suesserman, M. F.
- Affiliations
- University of Washington (US)
- Venue
- IEEE Transactions on Biomedical Engineering
- Published
- 1987-11
- Volume
- BME-34
- Issue
- 11
- Pages
- 864-875
- ISSN
- 0018-9294 (ISSN-L)
- 1558-2531
- OpenAlex
- W2024395569
- Cited by
- 89
- References
- 37
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 1 · 2023: 2 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 2 · 2018: 4 · 2017: 3 · 2016: 2 · 2015: 4 · 2014: 6 · 2013: 1 · 2012: 4
- FWCI
- 0.04
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Biomedical Engineering (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institute of General Medical Sciences (GM07766)
- National Institute of Neurological Disorders and Stroke (NS 13056)
- National Center for Research Resources (RR00166)
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
- Life Sciences › Neuroscience › Cognitive Neuroscience › Hearing Loss and Rehabilitation
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electrical and Bioimpedance Tomography
- Keywords
- current density profile, neural prostheses, cochlear implants, Green's function, Laplace equation, disk electrode, electrode-tissue interface, method of moments
- MeSH terms
- Biomedical Engineering, Electrodes, Implanted, Humans, Nervous System, Prostheses and Implants
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review