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Efficiency Analysis of Waveform Shape for Electrical Excitation of Nerve Fibers
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Stimulation efficiency is an important consideration in the stimulation parameters of implantable neural stimulators. The objective of this study was to analyze the effects of waveform shape and duration on the charge, power, and energy efficiency of neural stimulation. Using a population model of mammalian axons and in vivo experiments on cat sciatic nerve, we analyzed the stimulation efficiency of four waveform shapes: square, rising exponential, decaying exponential, and rising ramp. No waveform was simultaneously energy-, charge-, and power-optimal, and differences in efficiency among waveform shapes varied with pulse width (PW). For short PWs (< or = 0.1 ms), square waveforms were no less energy-efficient than exponential waveforms, and the most charge-efficient shape was the ramp. For long PW s (> or = 0.5 ms), the square was the least energy-efficient and charge-efficient shape, but across most PW s, the square was the most power-efficient shape. Rising exponentials provided no practical gains in efficiency over the other shapes, and our results refute previous claims that the rising exponential is the energy-optimal shape. An improved understanding of how stimulation parameters affect stimulation efficiency will help improve the design and programming of implantable stimulators to minimize tissue damage and extend battery life.
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“All the reports above suggest that the strength-duration curve can vary depending on the stimulation waveform [89].”
From Safety of long-term electrical peripheral nerve stimulation: review of the state of the art (2019) · cites this paper as [89]
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“None of the waveforms—square, rising ramp, rising exponential and decaying exponential—were optimal in terms of all three parameters evaluated.”
From Safety of long-term electrical peripheral nerve stimulation: review of the state of the art (2019) · cites this paper as [89]
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Cites
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
Geddes, L. A., & Baker, L. E. (1967) · Medical & Biological Engineering & Computing · doi:10.1007/bf02474537 · Cited by 1,612
Analysis of a Model for Excitation of Myelinated Nerve
McNeal, D. R. (1976) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1976.324593 · Cited by 833
McIntyre, C. C., Richardson, A. G., & Grill, W. M. (2002) · Journal of Neurophysiology · doi:10.1152/jn.00353.2001 · Cited by 764
Self-citationCharge density and charge per phase as cofactors in neural injury induced by electrical stimulation
McCreery, D. B., Agnew, W. F., Yuen, T. G. H., & Bullara, L. (1990) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.102812 · Cited by 708
Recherches quantitatives sur l' excitation electrique des nerfs traitee comme une polarization.
Lapique, L. (1907) · Medical Entomology and Zoology · Cited by 562
Axons, but not cell bodies, are activated by electrical stimulation in cortical gray matter
Nowak, L. G., & Bullier, J. (1998) · Experimental Brain Research · doi:10.1007/s002210050304 · Cited by 492
Modeling the effects of electric fields on nerve fibers: Determination of excitation thresholds
Warman, E., Grill, W. M., & Durand, D. M. (1992) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.184700 · Cited by 328
Self-citationExcitation of Central Nervous System Neurons by Nonuniform Electric Fields
McIntyre, C. C., & Grill, W. M. (1999) · Biophysical Journal · doi:10.1016/s0006-3495(99)77251-6 · Cited by 319
Self-citationStimulus waveforms for selective neural stimulation
Grill, W. M., & Mortimer, J. T. (1995) · IEEE Engineering in Medicine and Biology Magazine · doi:10.1109/51.395310 · Cited by 291
Self-citation
Research works printed but not linked: 1
- sweeney, 1987, Modeling of mammalian myelinated nerve for functional neuromuscular stimulation, Proc 9th Annu IEEE-EMBS Conf, 1577
Cited by
Sorted by citations
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
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
Self-citationLee, H.-M., Kwon, K. Y., Li, W., & Ghovanloo, M. (2015) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.2014.2355814 · Cited by 161
Evaluation of novel stimulus waveforms for deep brain stimulation
Foutz, T. J., & McIntyre, C. C. (2010) · Journal of Neural Engineering · doi:10.1088/1741-2560/7/6/066008 · Cited by 167
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
Self-citationExcitation properties of the right cervical vagus nerve in adult dogs
Castoro, M. A., Yoo, P. B., Hincapie, J. G., Hamann, J. J., Ruble, S. B., Wolf, P. D., & Grill, W. M. (2010) · Experimental Neurology · doi:10.1016/j.expneurol.2010.09.011 · Cited by 104
Self-citationBiomedical Engineering - Technical Applications in Medicine
Hudák, R., Penhaker, M., & Majerník, J. (2012) · InTech eBooks · doi:10.5772/2608 · Cited by 98
Paradigms for restoration of somatosensory feedback via stimulation of the peripheral nervous system
Pasluosta, C. F., Kiele, P., & Stieglitz, T. (2017) · Clinical Neurophysiology · doi:10.1016/j.clinph.2017.12.027 · Cited by 105
The development and modelling of devices and paradigms for transcranial magnetic stimulation
Goetz, S. M., & Deng, Z. (2017) · International Review of Psychiatry · doi:10.1080/09540261.2017.1305949 · Cited by 91
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
Strength–duration relationship for intra- versus extracellular stimulation with microelectrodes
Rattay, F., Paredes, L. P., & Leão, R. N. (2012) · Neuroscience · doi:10.1016/j.neuroscience.2012.04.004 · Cited by 81
Gaines, J. L., Finn, K. E., Slopsema, J. P., Heyboer, L. A., & Polasek, K. H. (2018) · Journal of Computational Neuroscience · doi:10.1007/s10827-018-0689-5 · Cited by 76
Aristovich, K. Y., Donegà, M., Fjordbakk, C. T., Tarotin, I., Chapman, C. A. R., Viscasillas, J., Stathopoulou, T., Crawford, A. H., Chew, D. J., PERKINS, J. D., et al. (2021) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2021.109079 · Cited by 74
Butz, N., Taschwer, A., Nessler, S., Manoli, Y., & Kuhl, M. (2018) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.2018.2828823 · Cited by 70
Anderson, C. J., Anderson, D. N., Pulst, S. M., Butson, C. R., & Dorval, A. D. (2020) · Brain stimulation · doi:10.1016/j.brs.2020.03.017 · Cited by 68
Donos, C., Mı̂ndruță, I., Ciurea, J., Mălîia, M. D., & Barborică, A. (2015) · Clinical Neurophysiology · doi:10.1016/j.clinph.2015.02.013 · Cited by 66
Raspopovic, S., Capogrosso, M., Badia, J., Navarro, X., & Micera, S. (2012) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2012.2189021 · Cited by 63
Predicting myelinated axon activation using spatial characteristics of the extracellular field
Peterson, E. J., Izad, O., & Tyler, D. J. (2011) · Journal of Neural Engineering · doi:10.1088/1741-2560/8/4/046030 · Cited by 64
Jeon, H., Bang, J.-S., Jung, Y., Choi, I., & Je, M. (2019) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.2019.2930903 · Cited by 62
Model-based analysis and design of waveforms for efficient neural stimulation
Grill, W. M. (2015) · Progress in brain research · doi:10.1016/bs.pbr.2015.07.031 · Cited by 57
Self-citationAnalysis and Optimization of Pulse Dynamics for Magnetic Stimulation
Goetz, S. M., Truong, C. N., Gerhofer, M. G., Peterchev, A. V., Herzog, H., & Weyh, T. (2013) · PLoS ONE · doi:10.1371/journal.pone.0055771 · Cited by 56
Peripheral Neural Activity Recording and Stimulation System
Loi, D., Carboni, C., Angius, G., Angotzi, G. N., Barbaro, M., Raffo, L., Raspopovic, S., & Navarro, X. (2011) · IEEE Transactions on Biomedical Circuits and Systems · doi:10.1109/tbcas.2011.2123097 · Cited by 42
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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
Energy-efficient waveform for electrical stimulation of the cochlear nerve
Yip, M., Bowers, P., Noel, V., Chandrakasan, A. P., & Stanković, K. M. (2017) · Scientific Reports · doi:10.1038/s41598-017-13671-y · Cited by 33
Square biphasic pulse deep brain stimulation for essential tremor: The BiP tremor study
Jesus, S. D., Almeida, L., Shahgholi, L., Martínez-Ramírez, D., Roper, J. A., Hass, C. J., Akbar, U., Shukla, A. W., Raike, R. S., & Okun, M. S. (2017) · Parkinsonism & Related Disorders · doi:10.1016/j.parkreldis.2017.10.015 · Cited by 31
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
Szecsi, J., & Fornusek, C. (2013) · American Journal of Physical Medicine & Rehabilitation · doi:10.1097/phm.0000000000000008 · Cited by 29
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
Lee, J.-I., & Im, M. (2018) · Journal of Neural Engineering · doi:10.1088/1741-2552/aad416 · Cited by 31
Lee, H., Howell, B. L., Grill, W. M., & Ghovanloo, M. (2017) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2017.2741107 · Cited by 28
Self-citationCollu, R., Earley, E. J., Barbaro, M., & Ortiz-Catalan, M. (2023) · Scientific Reports · doi:10.1038/s41598-023-28594-0 · Cited by 25
Taschwer, A., Butz, N., Kohler, M., Rossbach, D., & Manoli, Y. (2018) · IEEE Biomedical Circuits and Systems Conference (BioCAS) · doi:10.1109/biocas.2018.8584755 · Cited by 24
Chronic nerve health following implantation of femoral nerve cuff electrodes
Freeberg, M. J., Pinault, G. C. J., Tyler, D. J., Triolo, R. J., & Ansari, R. (2020) · Journal of NeuroEngineering and Rehabilitation · doi:10.1186/s12984-020-00720-3 · Cited by 22
Maghami, M. H., Sodagar, A. M., & Sawan, M. (2016) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2016.2542112 · Cited by 22
Lee, H., Kwon, K.-Y., Li, W., & Ghovanloo, M. (2014) · Digest of technical papers/Digest of technical papers - IEEE International Solid-State Circuits Conference · doi:10.1109/isscc.2014.6757493 · Cited by 22
Optimization of magnetic neurostimulation waveforms for minimum power loss
Goetz, S. M., Truong, N., Gerhofer, M. G., Peterchev, A. V., Herzog, H., & Weyh, T. (2012) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2012.6347004 · Cited by 21
Kassiri, H., Chen, F., Salam, M. T., Chang, M., Vatankhahghadim, B., Carlen, P. L., Valiante, T. A., & Genov, R. (2019) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2019.2900455 · Cited by 20
Optimizing stimulus energy for cochlear implants with a machine learning model of the auditory nerve
de Nobel, J., Kononova, A. V., Briaire, J. J., Frijns, J. H. M., & Bäck, T. (2023) · Hearing Research · doi:10.1016/j.heares.2023.108741 · Cited by 18
Schier, P. P., Handler, M. S., Chacko, L. J., Schrott‐Fischer, A., Fritscher, K. D., Saba, R., Baumgärtner, C., & Baumgarten, D. (2018) · Frontiers in Neuroscience · doi:10.3389/fnins.2018.00588 · Cited by 16
Use of Bioelectronics in the Gastrointestinal TractPreprint
Miller, L. S., Farajidavar, A., & Vegesna, A. K. (2018) · Cold Spring Harbor Perspectives in Medicine · doi:10.1101/cshperspect.a034165 · Cited by 15
Katebi, M., Erfanian, A., Karami, M. A., & Sawan, M. (2024) · IEEE Access · doi:10.1109/access.2024.3432611 · Cited by 16
Cho, J., Seong, G., Chang, Y., & Kim, C. (2021) · Frontiers in Neuroscience · doi:10.3389/fnins.2021.667447 · Cited by 18
Triboelectric neurostimulator for physiological modulation of leg muscle
Kang, M., Shin, H., Cho, Y., Park, J., Nagwade, P., & Lee, S. (2022) · Nano Energy · doi:10.1016/j.nanoen.2022.107861 · Cited by 15
IC-Based Neuro-Stimulation Environment for Arbitrary Waveform Generation
Kölbl, F., Bornat, Y., Castelli, J., Regnacq, L., N’Kaoua, G., Renaud, S., & Lewis, N. (2021) · Electronics · doi:10.3390/electronics10151867 · Cited by 13
Implantable Biomedical Devices
Zabihian, A., Maghami, M. H., Asgarian, F., & Amir, M. (2012) · InTech eBooks · doi:10.5772/50336 · Cited by 13
Electrodes for Biopotential Recording and Tissue Stimulation
Button, V. L. D. S. N. (2015) · Elsevier eBooks · doi:10.1016/b978-0-12-800774-7.00002-7 · Cited by 13
Optimal pulse configuration for peripheral inductive nerve stimulation
Rapp, J., Braun, P., Hemmert, W., & Gleich, B. (2022) · Biomedical Physics & Engineering Express · doi:10.1088/2057-1976/ac52d8 · Cited by 12
A Simulation Study on Selective Stimulation of C-Fiber Nerves for Chronic Pain Relief
He, S., Yoshida, Y., Tripanpitak, K., Takamatsu, S., Huang, S. Y., & Yu, W. (2020) · IEEE Access · doi:10.1109/access.2020.2997964 · Cited by 11
An Investigation of Neural Stimulation Efficiency With Gaussian Waveforms
Eickhoff, S., & Jarvis, J. C. (2019) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2019.2954004 · Cited by 10
Pires, R. S., Santos, M. S., Miguel, F., da Silva, C. L., & Silva, J. C. (2025) · Cells · doi:10.3390/cells14110840 · Cited by 9
Optimal stimulus current waveshape for a hodgkin-huxley model neuron
Tahayori, B., & Dokos, S. (2012) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2012.6346998 · Cited by 9
A high power efficient multi-waveform current stimulator used in implantable neural stimulation
Mooziraji, F. B., & Shoaei, O. (2016) · Analog Integrated Circuits and Signal Processing · doi:10.1007/s10470-015-0684-y · Cited by 9
Caussade, T., Paduro, E., Courdurier, M., Cerpa, E., Grill, W. M., & Medina, L. E. (2023) · Journal of Neural Engineering · doi:10.1088/1741-2552/ad1612 · Cited by 8
Self-citationA low-power, generic biostimulator with arbitrary pulse shape, based on a central control core
Faizollah, M., Karimi, M., & Sodagar, A. M. (2013) · IEICE Electronics Express · doi:10.1587/elex.10.20120868 · Cited by 8
Kubota, S., & Rubin, J. E. (2018) · Journal of Computational Neuroscience · doi:10.1007/s10827-018-0690-z · Cited by 8
Eickhoff, S., & Jarvis, J. C. (2021) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2021.3063029 · Cited by 9
A Voltage-Controlled Capacitive Discharge Method for Electrical Activation of Peripheral Nerves
Rosellini, W. M., Yoo, P. B., Engineer, N. D., Armstrong, S., Weiner, R. L., Burress, C., & Cauller, L. (2011) · Neuromodulation Technology at the Neural Interface · doi:10.1111/j.1525-1403.2011.00398.x · Cited by 8
Inductively powered arbitrary-waveform adaptive-supply electro-optical neurostimulator
Kassiri, H., Salam, M. T., Chen, F., Vatankhahghadim, B., Soltani, N., Chang, M., Carlen, P. L., Valiante, T. A., & Genov, R. (2015) · IEEE Biomedical Circuits and Systems Conference (BioCAS) · doi:10.1109/biocas.2015.7348349 · Cited by 8
Minimum energy control for a two-compartment neuron to extracellular electric fields
Yi, G., Wang, J., Li, H., Wei, X., & Deng, B. (2016) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2016.03.017 · Cited by 7
Strategies to improve stimulation efficiency for retinal prostheses
Davuluri, N. S., Nimmagadda, K., Petrossians, A., Humayun, M. S., & Weiland, J. D. (2016) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2016.7591393 · Cited by 7
Carraro, U. (2018) · European Journal of Translational Myology · doi:10.4081/ejtm.2018.7366 · Cited by 8
Waveforms for Neural Stimulation
Grill, W. M. (2018) · Elsevier eBooks · doi:10.1016/b978-0-12-805353-9.00008-5 · Cited by 6
Self-citationBiphasic, energy-efficient, current-controlled stimulation back-end for retinal visual prosthesis
Maghami, M. H., Sodagar, A. M., & Sawan, M. (2014) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.2014.6865110 · Cited by 6
Where Transcranial Magnetic Stimulation is headed to: The Modular Extended Magnetic Stimulator
Neukirchinger, F., Kersten, A., Kuder, M., Lohse, B., Schwitzgebel, F., & Weyh, T. (2021) · IEEE International Conference on Environment and Electrical Engineering and IEEE Industrial and Commercial Power Systems Europe (EEEIC / I&CPS Europe) · doi:10.1109/eeeic/icpseurope51590.2021.9584674 · Cited by 5
Optimal stimulus profiles for neuroprosthetic devices: Monophasic versus biphasic stimulation
Tahayori, B., & Dokos, S. (2013) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2013.6610914 · Cited by 4
An Adjustable Electrical Stimulator for Cell Culture
Yuan, Y., He, M., Zou, Y., Huang, Z., Li, J., & Xue-jin, H. (2016) · Journal of Circuits Systems and Computers · doi:10.1142/s0218126616501462 · Cited by 4
Power-Efficient Wireless Neural Stimulating System Design for Implantable Medical Devices
Lee, H., & Ghovanloo, M. (2015) · IEIE Transactions on Smart Processing and Computing · doi:10.5573/ieiespc.2015.4.3.133 · Cited by 4
Waveform efficiency analysis of auditory nerve fiber stimulation for cochlear implants
Navaii, M. L., Sadjedi, H., & Jalali, M. (2013) · Australasian Physical & Engineering Sciences in Medicine · doi:10.1007/s13246-013-0212-2 · Cited by 4
Naeem, J., Azman, A. W., Khan, S., & Mustafah, Y. M. (2013) · IOP Conference Series Materials Science and Engineering · doi:10.1088/1757-899x/53/1/012067 · Cited by 4
Roh, H., Kang, J., Lee, H., & Im, M. (2025) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2025.3568864 · Cited by 6
A Pulse Generation Circuit for Studying Waveform Effects on Neurostimulation
Parodi, A., & Choi, J. (2019) · Electronics · doi:10.3390/electronics8111344 · Cited by 3
Eom, K., Lee, H.-S., Park, M., Yang, S. M., Choe, J. C., Hwang, S., Suh, Y.-W., & Lee, H. (2024) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2024.3460814 · Cited by 3
Yuan, R., Zheng, Y., Shin, H., Xu, G., Fan, S., & Du, Z. J. (2025) · Journal of NeuroEngineering and Rehabilitation · doi:10.1186/s12984-025-01658-0 · Cited by 3
Mahnam, A., Mosayebi-Samani, M., & Hosseini, N. (2014) · Journal of Medical Signals & Sensors · doi:10.4103/2228-7477.130198 · Cited by 3
Modular Current Stimulation System for Pre-clinical Studies
Mottaghi, S., Afshari, N., Buchholz, O., Garcia, S. L., & Hofmann, U. (2020) · Frontiers in Neuroscience · doi:10.3389/fnins.2020.00408 · Cited by 3
A new method of brain stimulation at ultra-high frequencyPreprint
Jamali, Y., Jamali, M. V., & Golshani, M. (2019) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/621771 · Cited by 3
Nath, B., Peng, S.-Y., Lo, Z.-J., Pai, Y.-H., Yeh, Y.-T., Chang, H.-H., Lu, Y.-C., Huang, S.-H., & Chang, F. (2023) · Integration · doi:10.1016/j.vlsi.2023.03.003 · Cited by 2
Irnich, W. E., & Kroll, M. W. (2015) · Pacing and Clinical Electrophysiology · doi:10.1111/pace.12573 · Cited by 2
A 14-Bit, 12 V-to-100 V Voltage Compliance Electrical Stimulator with Redundant Digital Calibration
Su, K., Qiu, Z., & Xu, J. (2023) · Micromachines · doi:10.3390/mi14112001 · Cited by 2
Editors, T. (2017) · European Journal of Translational Myology · doi:10.4081/ejtm.2017.6723 · Cited by 2
“Capacitive” pulse shapes for platinum cuff electrodes
Woods, V., Triantis, I. F., Agathos, C. P., & Toumazou, C. (2011) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.2011.6091337 · Cited by 1
Challenging the optimality of rectangular pulse stimulation for neuroprosthetic devices
Tahayori, B., & Dokos, S. (2013) · International IEEE/EMBS Conference on Neural Engineering · doi:10.1109/ner.2013.6696137 · Cited by 1
Current-Based Neurostimulation Circuit and System Techniques
Shirafkan, R., & Shoaei, O. (2020) · Springer eBooks · doi:10.1007/978-1-4614-6623-9_42-1 · Cited by 1
Editors, T. (2015) · European Journal of Translational Myology · doi:10.4081/ejtm.2015.5607 · Cited by 1
Paraskevov, A. V. (2025) · Results in Applied Mathematics · doi:10.1016/j.rinam.2025.100548 · Cited by 1
Grill, W. M., & Wongsarnpigoon, A. (2020) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2020.2984402 · Cited by 1
Self-citationCurrent-Based Neurostimulation Circuit and System Techniques
Shirafkan, R., & Shoaei, O. (2022) · Springer eBooks · doi:10.1007/978-1-4614-3447-4_42 · Cited by 1
A new method of brain stimulation at ultra-high frequencyPreprint
Jamali, Y., Jamali, M. V., & Golshani, M. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1904.12456 · Cited by 1
Editors, T. (2016) · European Journal of Translational Myology · doi:10.4081/ejtm.2016.5904 · Cited by 1
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Löffler, S., & Luján, J. L. (2016) · Pan Stanford Publishing eBooks · doi:10.1201/9781315364759-3
Functional Electrical Stimulation
Ojanguren, E. I. (2018) · Springer theses · doi:10.1007/978-3-030-02735-3_3
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Amaya, P., & Aquiles, J. (2019)
Response of the Hodgkin-Huxley Neuron to a Periodic Sequence of Biphasic Pulses
Borkowski, L. S. (2014) · Acta Physica Polonica A · doi:10.12693/aphyspola.125.145
Integrated circuit interfaces for electrocortical stimulation
Ha, S., Kim, C., Mercier, P. P., & Cauwenberghs, G. (2019) · Elsevier eBooks · doi:10.1016/b978-0-12-815115-0.00011-8
Electronic bidirectional interfaces to the peripheral nervous system for prosthetic applications
Carboni, C. (2012) · VEprints - Universita degli Studi di Cagliari
Optimal strategies for electrical stimulation with implantable neuromodulation devices
Eickhoff, S. (2021) · Liverpool John Moores University · doi:10.24377/ljmu.t.00014298
Energy-Efficient Electrical Stimulation Systems
Banerjee, A., & Nag, S. (2021) · Handbook of Neuroengineering · doi:10.1007/978-981-15-2848-4_104-2
Waveforms and mechanisms in neuromodulation
Arle, J. E. (2022) · Elsevier eBooks · doi:10.1016/b978-0-12-817000-7.00006-5
Energy-Efficient Electrical Stimulation Systems
Banerjee, A., & Nag, S. (2023) · Handbook of Neuroengineering · doi:10.1007/978-981-16-5540-1_104
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Radman, M., & Sodagar, A. M. (2025) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2025.3563322
Metadata
- Authors
- Wongsarnpigoon, A., Woock, J. P., & Grill, W. M.
- Affiliations
- Duke University (US)
- ORCID
- Grill, Warren M.
- Venue
- IEEE Transactions on Neural Systems and Rehabilitation Engineering
- Published
- 2010-06
- Volume
- 18
- Issue
- 3
- Pages
- 319-328
- ISSN
- 1534-4320 (ISSN-L)
- 1558-0210
- PMC
- PMC3071515
- OpenAlex
- W2140643174
- Cited by
- 104
- References
- 32
- Citations by year
- 2026: 2 · 2025: 7 · 2024: 2 · 2023: 6 · 2022: 4 · 2021: 7 · 2020: 6 · 2019: 10 · 2018: 11 · 2017: 6 · 2016: 7 · 2015: 7 · 2014: 6 · 2013: 9 · 2012: 7
- FWCI
- 2.97
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- IEEE Transactions on Neural Systems and Rehabilitation Engineering (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institute of Neurological Disorders and Stroke (R01NS040894, R01NS050514)
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
- Life Sciences › Neuroscience › Neurology › Vagus Nerve Stimulation Research
- Health Sciences › Medicine › Anesthesiology and Pain Medicine › Pain Management and Treatment
- Keywords
- neurostimulation, wave shape, implantable neural stimulator, energy efficiency, charging efficiency, power efficiency, pulse duration, square waveform, battery life
- MeSH terms
- Algorithms, Animals, Axons, Cats, Computer Simulation, Electric Stimulation, Electrophysiology, Nerve Fibers, Nerve Fibers, Myelinated, Sciatic Nerve, Models, Statistical
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