Cited by 14Neuroscience and Neural EngineeringTactile and Sensory InteractionsPain Management and Treatment

Axonal stimulation affects the linear summation of single-point perception in three Argus II users

Open access
Hou, Yuchen, Nanduri, Devyani, Granley, Jacob, Weiland, James D, Beyeler, Michael·2024·Journal of Neural Engineering

Published version of a preprint

Abstract

Objective. Retinal implants use electrical stimulation to elicit perceived flashes of light (‘phosphenes’). Single-electrode phosphene shape has been shown to vary systematically with stimulus parameters and the retinal location of the stimulating electrode, due to incidental activation of passing nerve fiber bundles. However, this knowledge has yet to be extended to paired-electrode stimulation. Approach. We retrospectively analyzed 3548 phosphene drawings made by three blind participants implanted with an Argus II Retinal Prosthesis. Phosphene shape (characterized by area, perimeter, major and minor axis length) and number of perceived phosphenes were averaged across trials and correlated with the corresponding single-electrode parameters. In addition, the number of phosphenes was correlated with stimulus amplitude and neuroanatomical parameters: electrode-retina and electrode-fovea distance as well as the electrode-electrode distance to (‘between-axon’) and along axon bundles (‘along-axon’). Statistical analyses were conducted using linear regression and partial correlation analysis. Main results. Simple regression revealed that each paired-electrode shape descriptor could be predicted by the sum of the two corresponding single-electrode shape descriptors ( p < .001). Multiple regression revealed that paired-electrode phosphene shape was primarily predicted by stimulus amplitude and electrode-fovea distance ( p < .05). Interestingly, the number of elicited phosphenes tended to increase with between-axon distance ( p < .05), but not with along-axon distance, in two out of three participants. Significance. The shape of phosphenes elicited by paired-electrode stimulation was well predicted by the shape of their corresponding single-electrode phosphenes, suggesting that two-point perception can be expressed as the linear summation of single-point perception. The impact of the between-axon distance on the perceived number of phosphenes provides further evidence in support of the axon map model for epiretinal stimulation. These findings contribute to the growing literature on phosphene perception and have important implications for the design of future retinal prostheses.

AI snapshot

Written from the paper’s full text.

TL;DR

In three Argus II users, paired-electrode phosphene shape was well predicted by the linear sum of the corresponding single-electrode phosphene shapes, and the number of perceived phosphenes increased with between-axon distance but not along-axon distance. These results support independent stimulation channels and the axon map model for epiretinal stimulation.

Key findings

  • Paired-electrode shape descriptors were predicted by the sum of the two corresponding single-electrode descriptors (all p < .001); across all participants, standardized β values were .653 for area, .619 for perimeter, .592 for major axis length, and .692 for minor axis length, indicating paired phosphenes were larger than the average of their single-electrode counterparts but smaller than their sum.
  • The number of perceived phosphenes increased with between-axon distance (p < .05; all-participant β = .233, r = .327) but not with along-axon distance (p > .05); models using between-axon distance outperformed those using along-axon distance in two of three participants and in the all-participant analysis.
  • Single-electrode stimulation produced one phosphene on 86.8% of trials, two on 13.0%, and three or more on the remainder; paired-electrode stimulation produced one phosphene on 53.1% of trials, two on 43.4%, and three or more on the remainder.
  • Single-electrode shape was modulated by stimulus amplitude in two of three participants (area and minor axis length, p < .001), by frequency in Participant 3 (perimeter, major and minor axis lengths, p < .001), and by electrode-fovea distance in all three participants (p < .05 or smaller).

Methods

  • Retrospective analysis of three blind participants with retinitis pigmentosa implanted with the Argus II Retinal Prosthesis System; direct stimulation was used for single- or paired-electrode trials, with paired electrodes stimulated simultaneously.
  • Methods reports 3587 phosphene drawings collected, 13 removed, leaving 3574 drawings (2717 single-electrode, 857 paired-electrode); after averaging across trials, 379 data points remained, and after outlier removal 353 data points (252 single-electrode, 101 paired-electrode) were analyzed. The abstract states 3548 drawings.
  • Shape was quantified using area, perimeter, major axis length, and minor axis length; analyses used multiple linear regression, partial correlation, and linear mixed-effects models with participant as a random effect, with Bonferroni correction. Neuroanatomical predictors included electrode-fovea distance, electrode-retina distance, and between-axon and along-axon distances estimated with pulse2percept and an axon map.

Limitations

  • Stated: the linear analyses cannot identify nonlinear predictors of phosphene shape; analyses are limited to single- and paired-electrode stimulation in three participants; future work should test whether linear summation extends to more than two electrodes.
  • Evident from the text: all paired-electrode drawings were collected at 20 Hz, so stimulus frequency could not be included in paired-electrode analyses; some participant-specific analyses had small sample sizes (e.g., Participant 2 had N = 9 for the number-of-phosphenes analysis).
  • Evident from the text: the study is retrospective, relies on participants’ subjective drawings, and experiments were performed by local field clinical engineers rather than the authors.

Model-written summary. Check it against the paper before relying on it.

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Registry

Crossref · 10.1088/1741-2552/ad31c4

Cites

55 of 55 references verified0 citation errors · 0 not checkable

Statistics

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Claims the paper makes

0 of 55 cited sources checked · 0 supported · 0 flagged

  • Findingown data

    Increasing retinal eccentricity (EFD) led to slightly larger and more elongated phosphenes, by means of the overly increased perimeter (β = .107, r = .469; p < .001) and major axis length (β = .128, r = .479; p < .001).

    “Increasing retinal eccentricity (EFD) had a similar effect, leading to slightly larger and more elongated phosphenes, by means of the overly increased perimeter (β = .107, r = .469; p < .001) and major axis length (β = .128, r = .479; p < .001).”
    Quote in the paperNot a substantial claim
  • Findingown data

    Across all participants, paired-electrode shape descriptors tended to sum linearly.

    “Across all participants, shape descriptors tended to sum linearly, with the β values suggesting that phosphenes elicited by paired-electrode stimulation appeared larger than the average of their single-electrode counterparts, but smaller than their sum.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The participants' drawings accurately represent their perceived phosphenes.
  • Findingown data

    Participant 1 had significantly larger electrode-retina distance values than the other two participants.

    “In terms of electrode-retina distance, participant 1 had significantly larger values than the other two participants (, p < .001 and , p < .001) whose implant was closely attached to the retina.”
    Quote in the paperNot a substantial claim
  • Findingown data

    Simple regression revealed that each paired-electrode shape descriptor could be predicted by the sum of the two corresponding single-electrode shape descriptors (p < .001).

    “Simple regression revealed that each paired-electrode shape descriptor could be predicted by the sum of the two corresponding single-electrode shape descriptors (p < .001).”
    Quote in the paperSubstantial claim
  • Findingown data

    Electrode-fovea distance affected paired-electrode phosphene shape in two out of three participants (p < .001).

    “Similar to the single-point results (table 4), electrode-fovea distance affected phosphene shape in two out of three participants (p < .001), generally increasing the perimeter and major axis length of more eccentric phosphenes.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The participants' drawings accurately represent their perceived phosphenes.
  • May combine two claims. 21
  • Classified as probably not a substantial claim. 36
  • May combine two claims.

    Findingown data

    The number of elicited phosphenes tended to increase with between-axon distance (p < .05), but not with along-axon distance, in two out of three participants.

    “Interestingly, the number of elicited phosphenes tended to increase with between-axon distance (p < .05), but not with along-axon distance, in two out of three participants.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    Stimulus frequency had no significant effect on phosphene shape in participants 1 and 2, but strongly (β > .3, r > .6) and significantly (p < .001) modulated phosphene perimeter, major axis length, and minor axis length in Participant 3.

    “Stimulus frequency had no significant effect on phosphene shape in participants 1 and 2, but strongly (β > .3, r > .6) and significantly (p < .001) modulated phosphene perimeter, major axis length, and minor axis length in Participant 3.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    In a linear mixed-effects model across all participants, larger stimulus amplitudes tended to elicit larger (p < .001) and 'blobbier' phosphenes (by means of increased minor axis length; p < .001).

    “This analysis revealed that larger stimulus amplitudes tended to elicit larger (p < .001) and ‘blobbier’ phosphenes (by means of increased minor axis length; p < .001).”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    Single-electrode stimulation reliably elicited phosphenes in all three participants, who reported seeing a single phosphene on 86.8% of trials, two phosphenes on 13.0% of trials, and three or more phosphenes on the remaining trials.

    “Single-electrode stimulation reliably elicited phosphenes in all three participants, who reported seeing a single phosphene on 86.8% of trials, two phosphenes on 13.0% of trials, and three or more phosphenes on the remaining trials.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    When two electrodes were stimulated simultaneously, participants reported seeing a single phosphene on 53.1% of trials, two phosphenes on 43.4% of trials, and three or more phosphenes on the remaining trials.

    “When two electrodes were stimulated simultaneously, participants reported seeing a single phosphene on 53.1% of trials, two phosphenes on 43.4% of trials, and three or more phosphenes on the remaining trials.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    Phosphenes located close to the center of vision did not noticeably change in shape with frequency, while more eccentric phosphenes changed shape (e.g., blobs at 6 Hz to rectangles at 60 Hz for Participant 1; short streaks at 6 Hz to orders-of-magnitude longer arcs at 60 Hz for participant 3).

    “Whereas phosphenes that were located close to the center of vision (denoted by in figure 6) did not noticeably change in shape, more eccentric phosphenes turned from blobs at 6 Hz to rectangles at 60 Hz (Participant 1), or from short streaks at 6 Hz to orders-of-magnitude longer arcs at 60 Hz (participant 3).”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Findingcitation

    Phosphene shape greatly varied across participants and electrodes, but was relatively consistent across trials of a single electrode.

    “Consistent with the literature on single-electrode phosphene drawings (Nanduri et al 2008, Luo et al 2016, Beyeler et al 2019b), phosphene shape greatly varied across participants and electrodes, but was relatively consistent across trials of a single electrode.”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Nanduri et al 2008 source

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    • cites Luo et al 2016

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    • cites Beyeler et al 2019b

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  • May combine two claims.

    Findingown data

    Stimulus amplitude strongly affected phosphene area in two out of three participants (p < .001) and minor axis length (p < .001), suggesting that phosphenes tended to get larger with increasing amplitude.

    “Consistent with Nanduri et al (2012), we found that stimulus amplitude strongly affected phosphene area in two out of three participants (p < .001) and minor axis length (p < .001), suggesting that phosphenes tended to get larger with increasing amplitude.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Nanduri et al 2012 source

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  • May combine two claims.

    Findingown data

    For participant 1, more eccentric phosphenes tended to be more elongated (p < .001) but not necessarily larger.

    “For participant 1, more eccentric phosphenes tended to be more elongated (p < .001) but not necessarily larger.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Electrode-retina distances were non-zero only in participant 1, where larger ERDs led to smaller phosphenes (p < .05).

    “Electrode-retina distances (labeled ‘ERD’ in table 4) were non-zero only in participant 1, where larger ERDs led to smaller phosphenes (p < .05).”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Participant 1 mostly drew blobs and wedges, which grew larger as the stimulus amplitude was increased.

    “Whereas participant 1 mostly drew blobs and wedges, which grew larger as the stimulus amplitude was increased, participant 2 reported seeing exclusively lines and arcs, which got longer with increasing amplitude.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Participant 2 reported seeing exclusively lines and arcs, which got longer with increasing amplitude.

    “Whereas participant 1 mostly drew blobs and wedges, which grew larger as the stimulus amplitude was increased, participant 2 reported seeing exclusively lines and arcs, which got longer with increasing amplitude.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Models relying on between-axon distance (Model B) significantly outperformed models relying on along-axon distance (Model A) in two out of three participants, as well as in the all-participant analysis.

    “As is evident in table 8, we found strong evidence that models relying on between-axon distance (Model B) significantly outperformed models relying on along-axon distance (Model A) in two out of three participants, as well as in the all-participant analysis.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The participants' drawings accurately represent their perceived phosphenes.
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    A simple computational model can predict phosphene shape across a wide range of stimulus parameters.

    “In addition, phosphene appearance varies systematically with stimulus amplitude and frequency (Horsager et al 2009, Nanduri et al 2012, Sinclair et al 2016) to the extent that a simple computational model can predict phosphene shape across a wide range of stimulus parameters (Granley and Beyeler 2021).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Granley and Beyeler 2021

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    Premisecitation

    Electric crosstalk between electrodes is important in determining the response to simultaneous stimulation of multiple electrodes.

    “For instance, Wilke et al (2011b) highlighted the importance of electric crosstalk between electrodes in determining the response to simultaneous stimulation of multiple electrodes.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Wilke et al 2011b

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    Premisecitation

    Elicited percepts are affected by other stimulating electrodes even after temporally staggering pulses to remove electric field interactions.

    “Horsager et al (2011) found that elicited percepts were affected by other stimulating electrodes (even after temporally staggering pulses to remove electric field interactions) and demonstrated a linear combination of threshold currents for simultaneous stimulation.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Horsager et al 2011 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Single-electrode phosphenes elicited by stimulating a single Argus II electrode have a distinctive shape that is relatively consistent over time.

    “A series of papers demonstrated that phosphenes elicited by stimulating a single Argus II electrode have a distinctive shape that is relatively consistent over time (Nanduri et al 2008, Luo et al 2016, Beyeler et al 2019b).”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Nanduri et al 2008 source

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    • cites Luo et al 2016

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    • cites Beyeler et al 2019b

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    Study design and conductnone given

    Data from sessions where the false alarm rate exceeded 20% were deemed unreliable and excluded from the analysis.

    “Data from sessions where the false alarm rate exceeded 20% were deemed unreliable and excluded from the analysis.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Early research suggested that repeated paired stimulation resulted in reproducible phosphenes, with participants perceiving 'similar' phosphenes on 66% of trials.

    “Early research suggested that repeated paired stimulation resulted in reproducible phosphenes as participants perceived ‘similar’ phosphenes on 66% of trials (Rizzo et al 2003).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Rizzo et al 2003 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Bipolar electrode configurations produced percepts similar in appearance to the summation of phosphenes elicited from the two individual electrodes using a monopolar configuration.

    “Using a suprachoroidal prosthesis, Sinclair et al (2016) found that bipolar electrode configurations produced percepts that were similar in appearance to the summation of the phosphenes that were elicited from the two individual electrodes using a monopolar configuration.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Sinclair et al 2016 source

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  • Classified as probably not a substantial claim.

    Study design and conductcitation

    A control task was conducted where participants felt six different tactile shapes and drew them on a touchscreen to determine each participant's drawing error and bias.

    “Since the validity and reliability of the experiment relied on the ability of our participants to accurately draw the perceived phosphenes, a control task was conducted where participants were asked to feel six different tactile shapes made of felt with a cardboard background, and then draw them on a touchscreen (Beyeler et al 2019b).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Beyeler et al 2019b

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  • May combine two claims.

    Interpretationown data

    The shape of phosphenes elicited by paired-electrode stimulation was well predicted by the shape of their corresponding single-electrode phosphenes, suggesting that two-point perception can be expressed as the linear summation of single-point perception.

    “The shape of phosphenes elicited by paired-electrode stimulation was well predicted by the shape of their corresponding single-electrode phosphenes, suggesting that two-point perception can be expressed as the linear summation of single-point perception.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim.

    Premisecitation

    Recent computational models of prosthetic vision assume linear summation of phosphenes.

    “Moreover, recent computational models of prosthetic vision assume linear summation of phosphenes (Spencer et al 2019, de Ruyter van Steveninck et al 2022), but this has yet to be demonstrated empirically.”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites Spencer et al 2019 source

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    • cites de Ruyter van Steveninck et al 2022 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data

    All paired-electrode drawings were collected at 20 Hz, so stimulus frequency could not be included in the analysis.

    “Unfortunately, all paired-electrode drawings were collected at 20 Hz, thus stimulus frequency could not be included in the analysis.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductnone given

    The study was approved by the Institutional Review Board at each participant's clinical site and was conducted under the tenets of the Declaration of Helsinki.

    “The study was approved by the Institutional Review Board (IRB) at each participant’s clinical site and was conducted under the tenets of the Declaration of Helsinki.”
    Quote in the paperNot a substantial claim
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    Study design and conductown data

    All residuals were verified for normality using Quantile-Quantile plots.

    “All residuals were verified for normality using Quantile-Quantile plots (see figures E1 and E2).”
    Quote in the paperNot a substantial claim
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    Study design and conductnone given

    Informed consent was obtained from the participants after explanation of the nature and possible consequences of the study.

    “Informed consent was obtained from the participants after explanation of the nature and possible consequences of the study.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationown data

    The β values suggest that phosphenes elicited by paired-electrode stimulation appeared larger than the average of their single-electrode counterparts, but smaller than their sum.

    “Across all participants, shape descriptors tended to sum linearly, with the β values suggesting that phosphenes elicited by paired-electrode stimulation appeared larger than the average of their single-electrode counterparts, but smaller than their sum.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The participants' drawings accurately represent their perceived phosphenes.
  • Classified as probably not a substantial claim.

    Premisecitation

    More recent studies indicated that phosphenes tend to merge in nontrivial ways.

    “But more recent studies indicated that phosphenes tend to merge in nontrivial ways.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S1 (asserted).

    Premisecitation

    The axon map model predicts that the probability of seeing two phosphenes should increase with increasing distance between their axon bundles (as opposed to distance on the retinal surface).

    “Specifically, the axon map model (Beyeler et al 2019b, Granley and Beyeler 2021) predicts that the probability of seeing two phosphenes should increase with increasing distance between their axon bundles (as opposed to distance on the retinal surface), but no empirical studies have validated this hypothesis.”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites Beyeler et al 2019b

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    • cites Granley and Beyeler 2021

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    Premisecitation

    Phosphene appearance varies systematically with stimulus amplitude and frequency.

    “In addition, phosphene appearance varies systematically with stimulus amplitude and frequency (Horsager et al 2009, Nanduri et al 2012, Sinclair et al 2016) to the extent that a simple computational model can predict phosphene shape across a wide range of stimulus parameters (Granley and Beyeler 2021).”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Horsager et al 2009 source

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    • cites Nanduri et al 2012 source

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    • cites Sinclair et al 2016 source

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  • Classified as probably not a substantial claim. May combine two claims.

    Premisecitation

    Sequential stimulation does not always lead to perceptually intelligible forms or objects; participants often can only trace an outline of the perceived shape, and their interpretation relies heavily on this basic outline.

    “However, sequential stimulation does not always lead to perceptually intelligible forms or objects; often participants are only able to trace an outline of the perceived shape, and their interpretation of the shape relies heavily on this basic outline (Christie et al 2022).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Christie et al 2022 source

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    Premisecitation

    There is a linear combination of threshold currents for simultaneous stimulation.

    “Horsager et al (2011) found that elicited percepts were affected by other stimulating electrodes (even after temporally staggering pulses to remove electric field interactions) and demonstrated a linear combination of threshold currents for simultaneous stimulation.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Horsager et al 2011 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductnone given

    Data points that fell more than 2.5 standard deviations away from the mean were considered outliers and were removed from all further analyses.

    “Data points that fell more than 2.5 standard deviations away from the mean were considered outliers and were removed from all further analyses.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Premisecitation

    Several factors might limit the spatial resolution of prosthetic vision, including retinal damage, electrode-retina distance, and inadvertent stimulation of nerve fiber bundles.

    “Most recently, Yücel et al (2022) identified several factors that might limit the spatial resolution of prosthetic vision, which included retinal damage, electrode-retina distance, and the inadvertent stimulation of nerve fiber bundles.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Yücel et al 2022 source

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  • Classified as probably not a substantial claim.

    Premisecitation

    Phosphene shape depends strongly on the retinal location of the stimulating electrode, predominantly elongated along the trajectory of the underlying nerve fiber bundle.

    “Phosphene shape has been shown to depend strongly on the retinal location of the stimulating electrode, predominantly elongated along the trajectory of the underlying nerve fiber bundle (Rizzo et al 2003, Beyeler et al 2019b).”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites Rizzo et al 2003 source

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    • cites Beyeler et al 2019b

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    Premisecitation

    The probability of perceiving two distinct phosphenes increases with inter-electrode distance.

    “Yücel et al (2022) previously demonstrated that the probability of perceiving two distinct phosphenes increases with inter-electrode distance.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Yücel et al (2022) source

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  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Premisecitation

    Phosphene orientation was previously shown to depend mostly on the retinal location of the stimulating electrode and was thus excluded from the main analysis.

    “Phosphene orientation was previously shown to depend mostly on the retinal location of the stimulating electrode (Beyeler et al 2019b) and was thus excluded from the main analysis.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Beyeler et al 2019b

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    Study design and conductown data

    During the preliminary stage, experimenting with a number of similar formulations of splitting the two components gave similar results.

    “During the preliminary stage of this study, we experimented with a number of similar formulations of splitting these two components, and all of them gave similar results.”
    Quote in the paperNot a substantial claim
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    Interpretationcitation

    Electrodes that stimulate the same axon bundle (i.e. with zero between-axon distance) are redundant and should therefore be avoided.

    “In other words, electrodes that stimulate the same axon bundle (i.e. with zero between-axon distance) are redundant and should therefore be avoided (Beyeler et al 2017b).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Beyeler et al 2017b

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    • Rests on an assumption: The participants' drawings accurately represent their perceived phosphenes.
  • Probably not a substantial claim: may not pass S1 (asserted).

    Premisecitation

    Under the axon map model, paired-electrode stimulation with a short between-axon distance should activate the same nerve fiber bundles and lead to a single phosphene, even if the electrodes are far apart on the retina.

    “Under this model, paired-electrode stimulation with a short between-axon distance should activate the same nerve fiber bundles and thus lead to a single phosphene, even though the two electrodes may be far apart on the retina.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Beyeler et al 2019b

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  • Classified as probably not a substantial claim.

    Premisecitation

    The axon map model predicts that participants should be more likely to see two distinct phosphenes as the distance between two nerve fiber bundles increases ('between-axon' distance).

    “However, the axon map model (Beyeler et al 2019b) makes a more nuanced prediction: participants should be more likely to see two distinct phosphenes as the distance between two nerve fiber bundles increases (‘between-axon’ distance; as opposed to distance on the retinal surface; see Methods).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Beyeler et al 2019b

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  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    In suprachoroidal prostheses, phosphenes tend to appear thicker or rounder as the stimulation rate increases.

    “This relationship between stimulus frequency and phosphene size partially agrees with data from suprachoroidal prostheses, where phosphenes tend to appear thicker or rounder as the stimulation rate increases (Sinclair et al 2016).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Sinclair et al 2016 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationcitation

    More eccentric phosphenes may be elongated along the trajectory of the underlying nerve fiber bundles.

    “While more eccentric phosphenes may be elongated along the trajectory of the underlying nerve fiber bundles (Beyeler et al 2019b), the increased size may be a consequence of ganglion cell receptive fields increasing with eccentricity (Curcio and Allen 1990).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Beyeler et al 2019b

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    • Rests on an assumption: The participants' drawings accurately represent their perceived phosphenes.
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductnone given

    Significant effects were corrected for multiple comparisons using the Bonferroni method.

    “Significant effects are marked in bold (corrected for multiple comparisons using the Bonferroni method).”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductown data

    Our linear analyses cannot identify nonlinear predictors of phosphene shape.

    “Despite the ability of our work to highlight important factors that guide the appearance of phosphenes elicited by retinal implants, it is important to note that our linear analyses cannot identify nonlinear predictors of phosphene shape.”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim.

    Premisecitation

    Many computational models of prosthetic vision assume a linear relationship between stimulus parameters (e.g. amplitude) and phosphene appearance (e.g. brightness).

    “Many computational models of prosthetic vision (Chen et al 2009, Perez-Yus et al 2017, Sanchez-Garcia et al 2019, Granley and Beyeler 2021) assume a linear relationship between stimulus parameters (e.g. amplitude) and phosphene appearance (e.g. brightness).”
    Quote in the paperSubstantial claim0 of 3 sources checked
    • cites Chen et al 2009 source

      Not checked in the free run.

    • cites Perez-Yus et al 2017 source

      Not checked in the free run.

    • cites Sanchez-Garcia et al 2019 source

      Not checked in the free run.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductown data

    Our analyses are currently limited to single- and paired-electrode stimulation in three participants.

    “In addition, due to data availability, our analyses are currently limited to single- and paired-electrode stimulation in three participants.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Most phosphene models assume a constant scaling factor between retinal and visual field coordinates.

    “Indeed, most phosphene models assume a constant scaling factor between retinal and visual field coordinates (Horsager et al 2009, Nanduri 2011, Beyeler et al 2019b).”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Horsager et al 2009 source

      Not checked in the free run.

    • cites Nanduri 2011

      Not checked in the free run.

    • cites Beyeler et al 2019b

      Not checked in the free run.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Multiple phosphene patterns may not automatically group into perceptually intelligible objects.

    “However, it should be noted that multiple phosphene patterns may not automatically group into perceptually intelligible objects (Stingl et al 2015, Shivdasani et al 2017, Christie et al 2022).”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Stingl et al 2015 source

      Not checked in the free run.

    • cites Shivdasani et al 2017

      Not checked in the free run.

    • cites Christie et al 2022 source

      Not checked in the free run.

50 of 50
  • The paper relies on this without support.

    Less is known about how phosphenes combine when multiple electrodes are stimulated.

    “However, less is known about how phosphenes combine when multiple electrodes are stimulated.”
  • The paper relies on this without support.

    Understanding how multi-electrode stimulation can be leveraged to produce form vision remains an open challenge for the field of visual prosthetics.

    “Therefore, understanding how multi-electrode stimulation can be leveraged to produce form vision (that is, a fundamental aspect of visual perception that enables humans to recognize spatial patterns and objects) remains an open challenge for the field of visual prosthetics.”
  • The paper relies on this without support.

    No empirical studies have validated the axon map model's prediction that the probability of seeing two phosphenes increases with between-axon distance.

    “but no empirical studies have validated this hypothesis.”
  • The paper relies on this without support.

    Linear summation of phosphenes has not been demonstrated empirically.

    “but this has yet to be demonstrated empirically.”
  • The paper relies on this without support.

    The simulated axonal nerve fiber bundle map derived from sighted individuals is applicable to the three blind participants with retinitis pigmentosa.

    “The stimulated implant was placed on a simulated map of axonal nerve fiber bundles (figure 2), which was modeled based on ophthalmic fundus photographs of 55 sighted participants (Jansonius et al 2009).”
  • The paper relies on this without support.

    The number of distinct phosphenes drawn by participants corresponds to the number of phosphenes they perceived.

    “Participants were asked to perform a drawing task upon electrical stimulation of the retina.”
  • The paper relies on this without support.

    The participants' drawings accurately represent their perceived phosphenes.

    “As participants would frequently draw multiple phosphenes during paired-electrode stimulation (figure 7), we extracted each shape descriptor for each individual phosphene.”
7 of 7

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?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • Abstract and Methods give different drawing counts

    Minor

    The abstract says 3548 phosphene drawings were analyzed, whereas the Methods say 3574 drawings remained after exclusions and were prepared for statistical analysis.

  • Not all retained paired-electrode data points appear in every analysis

    Minor

    The Methods say all 101 retained paired-electrode data points were included in all analyses, but the all-participant analysis in Table 7 reports N = 85.

2 of 2

Cites

Flagged first, then by citations

Research works printed but not linked: 2

  1. Barry, 2020, Video-mode percepts are smaller than sums of single-electrode phosphenes with the Orion® visual cortical prosthesis, Investigative Ophthalmol. Vis. Sci., 61, 927
  2. Hou, 2023, Phosphene shape elicited by paired-electrode stimulation is well predicted by single-electrode parameters for three Argus II users, Investigative Ophthalmol. Vis. Sci., 64, 4613

Cited by

Sorted by citations

Authors
Hou, Y., Nanduri, D., Granley, J., Weiland, J. D., & Beyeler, M.
Affiliations
  • University of California, Santa Barbara (US)
  • University of Southern California (US)
Corresponding author
Hou, Yuchen
Venue
Journal of Neural Engineering
Published
2024-04-01
Volume
21
Issue
2
Pages
026031
ISSN
  • 1741-2552 (ISSN-L)
  • 1741-2560
OpenAlex
W4392578333
Cited by
14
References
55
Citations by year
2026: 3 · 2025: 7 · 2024: 3 · 2023: 1
FWCI
2.27
Type
journal article
Language
en
Open access
Locations
  • Journal of Neural Engineering (publishedVersion, cc-by)
  • medRxiv (acceptedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • PubMed Central (submittedVersion, cc-by)
  • eScholarship (California Digital Library) (submittedVersion, cc-by)
Funders
National Eye Institute (R00-EY029329)
Topics
  • Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Tactile and Sensory Interactions
  • Health Sciences › Medicine › Anesthesiology and Pain Medicine › Pain Management and Treatment
Keywords
Argus II retinal prosthesis, phosphenes, linear summation, epiretinal stimulation, stimulus amplitude, blind patients

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.

Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-08.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-08.

Statistics and arithmetic are recomputed, not judged.

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