Non-rectangular waveforms for neural stimulation with practical electrodes
Open accessAbstract
Historically the rectangular pulse waveform has been the choice for neural stimulation. The strength-duration curve is thus defined for rectangular pulses. Not much attention has been paid to alternative waveforms to determine if the pulse shape has an effect on the strength-duration relation. Similarly the charge injection capacity of neural electrodes has also been measured with rectangular pulses. In this study we questioned if non-rectangular waveforms can generate a stronger stimulation effect, when applied through practical electrodes, by minimizing the neural activation threshold and maximizing the charge injection capacity of the electrode. First, the activation threshold parameters were studied with seven different pulse shapes using computer simulations of a local membrane model. These waveforms were rectangular, linear increase and decrease, exponential increase and decrease, Gaussian, and sinusoidal. The chronaxie time was found to be longer with all the non-rectangular pulses and some provided more energy efficient stimulation than the rectangular waveform. Second, the charge injection capacity of titanium nitride microelectrodes was measured experimentally for the same waveforms. Linearly decreasing ramp provided the best charge injection for all pulse widths tested from 0.02 to 0.5 ms. Finally, the most efficient waveform that maximized the charge injection capacity of the electrode while providing the lowest threshold charge for neural activation was searched. Linear and exponential decrease, and Gaussian waveforms were found to be the most efficient pulse shapes.
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Sahin and Tie found linear, gaussian and exponential decrease waveforms were most effective in terms of charge injection and lowest threshold charge.
“The linear, gaussian and exponential decrease waveforms were most effective in terms of charge injection and lowest threshold charge [88].”
From Safety of long-term electrical peripheral nerve stimulation: review of the state of the art (2019) · cites this paper as [88]
Sahin and Tie found the chronaxie to be longer with all non-rectangular pulses than with rectangular pulses.
“Using computational models of nerve membrane potentials, they found the chronaxie to be longer with all non-rectangular pulses.”
From Safety of long-term electrical peripheral nerve stimulation: review of the state of the art (2019) · cites this paper as [88]
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Hodgkin, A. L., & Huxley, A. F. (1952) · The Journal of Physiology · doi:10.1113/jphysiol.1952.sp004764 · Cited by 23,191 · see citing works
FRANKENHAEUSER, B., & Huxley, A. F. (1964) · The Journal of Physiology · doi:10.1113/jphysiol.1964.sp007378 · Cited by 702 · see citing works
Schmidt, E. M., Bak, M. J., Hambrecht, F. T., Kufta, C. V., O'Rourke, D. K., & Vallabhanath, P. (1996) · Brain · doi:10.1093/brain/119.2.507 · Cited by 672 · see citing works
A quantitative description of membrane currents in rabbit myelinated nerve.
Chiu, S. Y., Ritchie, J. M., Rogart, R. B., & Stagg, D. (1979) · The Journal of Physiology · doi:10.1113/jphysiol.1979.sp012843 · Cited by 500 · see citing works
In vitro electrical properties for iridium oxide versus titanium nitride stimulating electrodes
Weiland, J. D., Anderson, D. J., & Humayun, M. S. (2002) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2002.805487 · Cited by 382 · see citing works
Selective Stimulation of Cat Sciatic Nerve Using an Array of Varying-Length Microelectrodes
Branner, A., Stein, R. B., & Normann, R. A. (2001) · Journal of Neurophysiology · doi:10.1152/jn.2001.85.4.1585 · Cited by 358 · see citing works
Chronic neural stimulation with thin-film, iridium oxide electrodes
Weiland, J. D., & Anderson, D. J. (2000) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.846685 · Cited by 263 · see citing works
Rousche, P. J., & Normann, R. A. (1999) · IEEE Transactions on Rehabilitation Engineering · doi:10.1109/86.750552 · Cited by 187 · see citing works
Na currents and action potentials in rat myelinated nerve fibres at 20 and 37° C
Schwarz, J. R., & Eikhof, G. (1987) · Pflügers Archiv - European Journal of Physiology · doi:10.1007/bf00584655 · Cited by 181 · see citing works
Modeling axon membranes for functional electrical stimulation
Rattay, F., & Aberham, M. (1993) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.250575 · Cited by 174 · see citing works
ON THE INTENSITY-TIME RELATIONS FOR STIMULATION BY ELECTRIC CURRENTS. I
Blair, H. A. (1932) · The Journal of General Physiology · doi:10.1085/jgp.15.6.709 · Cited by 164 · see citing works
Cogan, S. F., Troyk, P. R., Ehrlich, J., Plante, T. D., & Detlefsen, D. E. (2006) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2005.862572 · Cited by 138 · see citing works
Norlin, A., Pan, J., & Leygraf, C. (2005) · Journal of The Electrochemical Society · doi:10.1149/1.1842092 · Cited by 79 · see citing works
Microstimulation in auditory cortex provides a substrate for detailed behaviors
Otto, K. J., Rousche, P. J., & Kipke, D. R. (2005) · Hearing Research · doi:10.1016/j.heares.2005.08.004 · Cited by 71 · see citing works
Selective motor unit recruitment via intrafascicular multielectrode stimulation
McDonnall, D., Clark, G. A., & Normann, R. A. (2004) · Canadian Journal of Physiology and Pharmacology · doi:10.1139/y04-047 · Cited by 53 · see citing works
Cochlear Nerve Stimulation with a 3-Dimensional Penetrating Electrode Array
Hillman, T. A., Badi, A. N., Normann, R. A., Kertesz, T., & Shelton, C. (2003) · Otology & Neurotology · doi:10.1097/00129492-200309000-00013 · Cited by 52 · see citing works
ON THE INTENSITY-TIME RELATIONS FOR STIMULATION BY ELECTRIC CURRENTS. II
Blair, H. A. (1932) · The Journal of General Physiology · doi:10.1085/jgp.15.6.731 · Cited by 45 · see citing works
MOUCHAWAR, G. A., Geddes, L. A., BOURLAND, J. D., & Pearce, J. A. (1989) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.35307 · Cited by 34 · see citing works
Zhou, D. M., & Greenberg, R. J. (2004) · doi:10.1109/iembs.2003.1279831 · Cited by 22 · see citing works
Comparison of rectangular and exponential current pulses for evoking sensation
Wessale, J. L., Geddes, L. A., Ayers, G. M., & Foster, K. S. (1992) · Annals of Biomedical Engineering · doi:10.1007/bf02368523 · Cited by 18 · see citing works
Gm, A., Sw, A., & Geddes, L. A. (1987) · PubMed · Cited by 9 · see citing works
Flagged first, then by citations
Research works printed but not linked: 3
- Sweeney J D, Mortimer J T and Durand D 1987 Modeling of mammalian myelinated nerve for functional neuromuscular electrostimulation IEEE 9th Ann. Conf. Eng. Med. Biol. Soc. (Boston, MA) pp 1577-8
- Shankar Y R and Sahin M 2005 The effect of stimulus waveform on the strength-duration curve Proc. Annual Meeting of Biomedical Engineering Society (Baltimore, MD)
- Horackova M, Nonner W and Stampfli R 1968 Action potentials and voltage clamp currents of single rat Ranvier nodes Proc. Int. Union Physiol. Sci. 7 198
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Sorted by citations
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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
Noorsal, E., Sooksood, K., Xu, H., Hornig, R., Becker, J., & Ortmanns, M. (2012) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.2011.2164667 · Cited by 212 · see citing works
Energy-efficient waveform shapes for neural stimulation revealed with a genetic algorithm
Wongsarnpigoon, A., & Grill, W. M. (2010) · Journal of Neural Engineering · doi:10.1088/1741-2560/7/4/046009 · Cited by 166 · see citing works
Efficiency Analysis of Waveform Shape for Electrical Excitation of Nerve Fibers
Wongsarnpigoon, A., Woock, J. P., & Grill, W. M. (2010) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2010.2047610 · Cited by 104 · see citing works
A Fully Intraocular High-Density Self-Calibrating Epiretinal Prosthesis
Monge, M., Raj, M., Nazari, M. H., Chang, H.-C., Zhao, Y., Weiland, J. D., Humayun, M. S., Tai, Y.-C., & Emami, A. (2013) · IEEE Transactions on Biomedical Circuits and Systems · doi:10.1109/tbcas.2014.2298334 · Cited by 85 · see citing works
Cortical visual prostheses: From microstimulation to functional percept
Najarpour Foroushani, A., Pack, C. C., & Sawan, M. (2018) · Journal of Neural Engineering · doi:10.1088/1741-2552/aaa904 · Cited by 62 · see citing works
A Fully Integrated RF-Powered Energy-Replenishing Current-Controlled Stimulator
Ha, S., Kim, C., Park, J., Cauwenberghs, G., & Mercier, P. P. (2019) · IEEE Transactions on Biomedical Circuits and Systems · doi:10.1109/tbcas.2018.2881800 · Cited by 35 · see citing works
Energy-optimal electrical-stimulation pulses shaped by the least-action principle
Krouchev, N. I., Danner, S. M., Vinet, A., Rattay, F., & Sawan, M. (2014) · PLoS ONE · doi:10.1371/journal.pone.0090480 · Cited by 29 · see citing works
Chenais, N. A. L., Leccardi, M. J. I. A., & Ghezzi, D. (2019) · Journal of Neural Engineering · doi:10.1088/1741-2552/ab3913 · Cited by 24 · see citing works
van Dongen, M. N., Hoebeek, F. E., Koekkoek, S. K. E., De Zeeuw, C. I., & Serdijn, W. A. (2015) · Frontiers in Neuroengineering · doi:10.3389/fneng.2015.00002 · Cited by 15 · see citing works
- Authors
- Sahin, M., & Tie, Y.
- Affiliations
- Harvard University (US)
- ORCID
- Tie, Yanmei
- Venue
- Journal of Neural Engineering
- Publisher
- IOP Publishing
- Published
- 2007-05-02
- Volume
- 4
- Issue
- 3
- Pages
- 227-233
- ISSN
- 1741-2552 (ISSN-L)
- 1741-2560
- PMC
- PMC3759998
- OpenAlex
- W2045495785
- Cited by
- 157
- References
- 21
- Citations by year
- 2025: 8 · 2024: 5 · 2023: 8 · 2022: 8 · 2021: 10 · 2020: 7 · 2019: 9 · 2018: 10 · 2017: 13 · 2016: 7 · 2015: 12 · 2014: 5 · 2013: 11 · 2012: 9
- FWCI
- 2.91
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Neural Engineering (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institute of Neurological Disorders and Stroke (R21NS050757)
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
- Physical Sciences › Engineering › Biomedical Engineering › Analog and Mixed-Signal Circuit Design
- Life Sciences › Neuroscience › Cognitive Neuroscience › Undergraduate Neuroscience Education and Research
- Keywords
- neurostimulation, strength-duration curve, activation threshold, chronaxie, charge injection capacity, pulse shape, exponential pulse, Gaussian pulse, sinusoidal pulses
- MeSH terms
- Action Potentials, Animals, Computer Simulation, Electric Stimulation, Electrodes, Equipment Design, Humans, Membrane Potentials, Models, Neurological, Neurons, Peripheral Nerves, Equipment Failure Analysis
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