Efficient Modeling and Calibration of Multi-Electrode Stimuli for Epiretinal Implants
Abstract
Epiretinal implants are designed to restore visual function by direct stimulation of retinal ganglion cells (RGCs) with a multi-electrode array. However, the efficacy of present-day epiretinal implants is limited by indiscriminate, simultaneous activation of many RGCs of different types that normally convey distinct visual information, resulting in highly unnatural visual signals. Even with high-density multi-electrode arrays in a laboratory setting, single-electrode stimulation often cannot target an individual cell selectively. A possible solution is to use spatially patterned multi-electrode stimulation. Previous studies have demonstrated enhanced selectivity using such stimuli, but a general framework for characterizing the responses of RGCs to stimulation by multiple electrodes has yet to be realized. Here we propose a generalizable model for the response of a neuron to multi-electrode stimuli, and demonstrate that it can be used to systematically and efficiently improve the selectivity of epiretinal stimulation. The efficacy of the model and of multi-electrode stimuli is validated using three-electrode triplet stimulation. The model assumes that there are several possible activation sites on each cell where a spike can originate, and that the probability of activation at each site is determined by a weighted sum of the currents applied on the electrodes. The multi-site model provides excellent fits to experimental data as well as an interpretable mechanism of multi-electrode activation. Additionally, since the model has few parameters, it permits efficient closed-loop calibration. An optimal experimental design is presented and validated for quickly learning the model parameters and identifying multi-electrode stimuli that are more selective than can be achieved with single-electrode stimuli. The model and closed-loop algorithm could potentially be used to optimize the selectivity of other neural interfaces.
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Alternative stimulation strategies have not been validated in vivo in humans using perceptually relevant pulse-train stimulation, and most do not address the substantial day-to-day variability in cortical responses that limits clinical reliability.
“While alternative stimulation strategies have been proposed [25–39], none have been validated in vivo in humans using perceptually relevant pulse-train stimulation, and most do not address the substantial day-to-day variability in cortical responses that limits clinical reliability.”
From Deep Learning–Based Control of Electrically Evoked Activity in Human Visual Cortex (2025) · cites this paper as [29]
Although the greedy algorithm is nearly optimal for a single-electrode dictionary, the reconstruction performance of an artificial retina could be improved by enhancing the dictionary (e.g. by using calibrated, optimized multi-electrode stimulation patterns).
“Thus, although the greedy algorithm is nearly optimal for a single-electrode dictionary, the reconstruction performance of an artificial retina could be improved by enhancing the dictionary (e.g. by using calibrated, optimized multi-electrode stimulation patterns; Jepson et al., 2014; Vasireddy et al., 2023).”
From Precise control of neural activity using dynamically optimized electrical stimulation (2024) · cites this paper as Vasireddy et al., 2023
Cites
Cragg, J. G., & Zarembka, P. (1975) · Canadian Journal of Economics/Revue canadienne d économique · doi:10.2307/134075 · Cited by 8,477 · see citing works
Optimum Experimental Designs, with SAS
Atkinson, A. C., Donev, A. N., & Tobias, R. D. (2007) · doi:10.1093/oso/9780199296590.001.0001 · Cited by 1,269 · see citing works
Preservation of the Inner Retina in Retinitis Pigmentosa
Santos, A. (1997) · Archives of Ophthalmology · doi:10.1001/archopht.1997.01100150513011 · Cited by 644 · see citing works
The basic mechanism for the electrical stimulation of the nervous system
Rattay, F. (1999) · Neuroscience · doi:10.1016/s0306-4522(98)00330-3 · Cited by 572 · see citing works
Optimum Allocation in Linear Regression Theory
Elfving, G. (1952) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729442 · Cited by 431 · see citing works
Werner, J. S., Chalupa, L. M., & Burns, M. E. (2014) · Cited by 425 · see citing works
Fast and accurate spike sorting of high-channel count probes with KiloSort
Pachitariu, M., Steinmetz, N. A., Kadir, S., Carandini, M., & Harris, K. D. (2016) · University of Hertfordshire Research Archive (University of Hertfordshire) · Cited by 323 · see citing works
Litke, A. M., Bezayiff, N., Chichilnisky, E. J., Cunningham, W. R., Dąbrowski, W., Grillo, A. A., Grivich, M., Gryboś, P., Hottowy, P., Kachiguine, S., et al. (2004) · IEEE Transactions on Nuclear Science · doi:10.1109/tns.2004.832706 · Cited by 279 · see citing works
Self-citationPreservation of ganglion cell layer neurons in age-related macular degeneration.
Medeiros, N. E., & Curcio, C. A. (2001) · PubMed · Cited by 224 · see citing works
A computational model of electrical stimulation of the retinal ganglion cell
Greenberg, R. J., Velte, T. J., Humayun, M. S., Scarlatis, G. N., & de Juan, E. (1999) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.759051 · Cited by 185 · see citing works
Active learning: theory and applications
Koller, D., & Tong, S. (2001) · Cited by 182 · see citing works
Identification and Characterization of a Y-Like Primate Retinal Ganglion Cell Type
Petrusca, D., Grivich, M. I., Sher, A., Field, G. D., Gauthier, J. L., Greschner, M., Shlens, J., Chichilnisky, E. J., & Litke, A. M. (2007) · Journal of Neuroscience · doi:10.1523/jneurosci.2836-07.2007 · Cited by 148 · see citing works
Self-citationSpatially patterned electrical stimulation to enhance resolution of retinal prostheses
Jepson, L. H., Hottowy, P., Mathieson, K., Gunning, D. E., Dąbrowski, W., Litke, A. M., & Chichilnisky, E. J. (2014) · The Journal of Neuroscience · doi:10.1523/jneurosci.2882-13.2014 · Cited by 103 · see citing works
Self-citationJepson, L. H., Hottowy, P., Mathieson, K., Gunning, D. E., Dąbrowski, W., Litke, A. M., & Chichilnisky, E. J. (2013) · The Journal of Neuroscience · doi:10.1523/jneurosci.4967-12.2013 · Cited by 97 · see citing works
Self-citationActivation of ganglion cells and axon bundles using epiretinal electrical stimulation
Grosberg, L. E., Ganesan, K., Goetz, G. A., Madugula, S. S., Bhaskhar, N., Fan, V., Li, P., Hottowy, P., Dabrowski, W., Sher, A., et al. (2017) · Journal of Neurophysiology · doi:10.1152/jn.00750.2016 · Cited by 70 · cited 1× · see citing works
“Ex vivo experiments on the primate retina [4], [5] have shown that this is often achievable with singleelectrode electrical stimulation, but not always.”
BackgroundHottowy, P., Skoczeń, A., Gunning, D. E., Kachiguine, S., Mathieson, K., Sher, A., Wiącek, P., Litke, A. M., & Dąbrowski, W. (2012) · Journal of Neural Engineering · doi:10.1088/1741-2560/9/6/066005 · Cited by 67 · see citing works
Self-citationHigh-Fidelity Reproduction of Visual Signals by Electrical Stimulation in the Central Primate Retina
Gogliettino, A. R., Madugula, S. S., Grosberg, L. E., Vilkhu, R. S., Brown, J., Nguyen, H., Kling, A., Hottowy, P., Dąbrowski, W., Sher, A., et al. (2023) · The Journal of Neuroscience · doi:10.1523/jneurosci.1091-22.2023 · Cited by 30 · see citing works
Self-citationHottowy, P., Dąbrowski, W., Skoczeń, A., & Wiacek, P. K. (2007) · Analog Integrated Circuits and Signal Processing · doi:10.1007/s10470-007-9125-x · Cited by 27 · see citing works
Self-citationArtificial Retina: A Future Cellular-Resolution Brain-Machine Interface
Muratore, D. G., & Chichilnisky, E. J. (2020) · The frontiers collection · doi:10.1007/978-3-030-18338-7_24 · Cited by 19 · see citing works
Self-citationSpatially patterned bi-electrode epiretinal stimulation for axon avoidance at cellular resolution
Vilkhu, R. S., Madugula, S. S., Grosberg, L. E., Gogliettino, A. R., Hottowy, P., Dąbrowski, W., Sher, A., Litke, A. M., Mitra, S., & Chichilnisky, E. J. (2021) · Journal of Neural Engineering · doi:10.1088/1741-2552/ac3450 · Cited by 18 · see citing works
Self-citationBiophysical basis of the linear electrical receptive fields of retinal ganglion cells
Esler, T. B., Maturana, M. I., Kerr, R. R., Grayden, D. B., Burkitt, A. N., & Hamish Meffin, A. (2018) · Journal of Neural Engineering · doi:10.1088/1741-2552/aacbaa · Cited by 15 · see citing works
A simple model considering spiking probability during extracellular axon stimulation
Rattay, F., & Tanzer, T. (2022) · PLoS ONE · doi:10.1371/journal.pone.0264735 · Cited by 11 · see citing works
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Precise control of neural activity using dynamically optimized electrical stimulation
Shah, N. P., Phillips, A., Madugula, S., Lotlikar, A., Gogliettino, A. R., Hays, M. R., Grosberg, L., Brown, J., Dusi, A., Tandon, P., et al. (2024) · eLife · doi:10.7554/elife.83424 · Cited by 15 · see citing works
Self-citationDeep Learning–Based Control of Electrically Evoked Activity in Human Visual Cortex
Moure, P., Granley, J., Grani, F., Soo, L., Lozano, A., López-Peco, R., Villamarin-Ortiz, A., Soto-Sanchez, C., Liu, S.-C., Beyeler, M., et al. (2025) · bioRxiv · doi:10.1101/2025.09.24.678361
- Authors
- Vasireddy, P. K., Gogliettino, A. R., Brown, J. B., Vilkhu, R. S., Madugula, S. S., Phillips, A. J., Mitral, S., Hottowy, P., Sher, A., Litke, A., Shah, N. P., & Chichilnisky, E. J.
- Affiliations
- Stanford University (US)
- Stanford University
- AGH University of Science and Technology
- University of California, Santa Cruz (US)
- ORCID
- Venue
- 2023 11th International IEEE/EMBS Conference on Neural Engineering (NER)
- Publisher
- IEEE
- Published
- 2023-04-24
- Pages
- 1-4
- ISSN
- 1948-3554 (ISSN-L)
- OpenAlex
- W4377089391
- Cited by
- 2
- References
- 22
- Citations by year
- 2026: 1 · 2024: 1
- FWCI
- 2.39
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- International IEEE/EMBS Conference on Neural Engineering (publishedVersion)
- Funders
- NSF (1828993)
- NIH (EY021271 (EJC))
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
- Life Sciences › Neuroscience › Cognitive Neuroscience › Tactile and Sensory Interactions
- Physical Sciences › Engineering › Biomedical Engineering › Analog and Mixed-Signal Circuit Design
- Keywords
- epiretinal implants, multi-electrode stimulation, retinal ganglion cells, stimulation selectivity, closed-loop calibration, optimal experimental design, neural interfaces, visual prosthesis
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