Neuromechanistic Model of Auditory Bistability
Publication Date
November 12, 2015
Journal
PLOS Computational Biology
Authors
James Rankin, Elyse Sussman & John Rinzel
Volume
11
Issue
11
Pages
e1004555
DOI
https://dx.plos.org/10.1371/journal.pcbi.1004555
Publisher URL
http://journals.plos.org/ploscompbiol/article?id=10.1371%2Fjournal.pcbi.1004555
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/26562507
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4642990
Europe PMC
http://europepmc.org/abstract/MED/26562507
Web of Science
000365801600025
Scopus
84949257823
Mendeley
http://www.mendeley.com/research/neuromechanistic-model-auditory-bistability
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Mendeley | Further Information

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Scopus | Further Information

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/2438321"], "description"=>"<p>Durations integrated and segregated without normalization plotted against Δ<i>f</i> for experiment and model with (<i>e</i><sub>dyn</sub>, <i>i</i><sub>gbl</sub>), as <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g009\" target=\"_blank\">Fig 9B</a>.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601472, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g012", "stats"=>{"downloads"=>0, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Non_normalized_percept_durations_/1601472", "title"=>"Non-normalized percept durations.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438322"], "description"=>"<p>Model parameters as defined in <i>Neuromechanistic model of auditory bistability</i> and forming part of the general model equations given in <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e018\" target=\"_blank\">Eq (4)</a>.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601473, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.t001", "stats"=>{"downloads"=>1, "page_views"=>10, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_parameters_as_defined_in_Neuromechanistic_model_of_auditory_bistability_and_forming_part_of_the_general_model_equations_given_in_Eq_4_/1601473", "title"=>"Model parameters as defined in <i>Neuromechanistic model of auditory bistability</i> and forming part of the general model equations given in Eq (4).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438323"], "description"=>"<p>Frequency conditions used.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601474, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.t002", "stats"=>{"downloads"=>1, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Frequency_conditions_used_/1601474", "title"=>"Frequency conditions used.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438324"], "description"=>"<p>Analysis shows a significant effect of Δ<i>f</i> on proportion integrated. Data for <i>N</i> = 12 subjects, see text. Mauchly test for sphericity reaches significance, Greenhouse-Geisser correct <i>P</i>-value reported in the text.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601475, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.t003", "stats"=>{"downloads"=>5, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_One_way_repeated_measures_ANOVA_of_proportion_integrated_for_the_factor_f_eight_conditions_see_Fig_9A_/1601475", "title"=>"One-way repeated measures ANOVA of proportion integrated for the factor Δ<i>f</i> (eight conditions, see Fig 9A).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438325"], "description"=>"<p>Analysis shows a significant interaction for Percept * Δ<i>f</i>. Data for <i>N</i> = 12 subjects, see text. Mauchly test for sphericity reaches significance for the Percept * Δ<i>f</i> interaction, Greenhouse-Geisser corrected <i>P</i>-value reported in the text.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601476, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.t004", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Two_way_repeated_measures_ANOVA_of_log_noramlized_durations_for_Percept_type_integrated_or_segregated_f_eight_conditions_and_their_interaction_see_Fig_9B_/1601476", "title"=>"Two-way repeated measures ANOVA of log noramlized durations for Percept type (integrated or segregated), Δ<i>f</i> (eight conditions) and their interaction, see Fig 9B.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438326"], "description"=>"<p>Analysis shows that effect of Δ<i>f</i> on <i>η</i> does not reach significance. Mauchly test for sphericity reaches significance, Greenhouse-Geisser corrected <i>P</i>-value reported in the text. Data for <i>N</i> = 12 subjects, see text.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601477, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.t005", "stats"=>{"downloads"=>5, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_One_way_repeated_measures_ANOVA_for_the_measure_951_with_f_as_a_factor_eight_conditions_see_Fig_9C_/1601477", "title"=>"One-way repeated measures ANOVA for the measure <i>η</i> with Δ<i>f</i> as a factor (eight conditions) see Fig 9C.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438327"], "description"=>"<div><p>Sequences of higher frequency A and lower frequency B tones repeating in an ABA- triplet pattern are widely used to study auditory streaming. One may experience either an integrated percept, a single ABA-ABA- stream, or a segregated percept, separate but simultaneous streams A-A-A-A- and -B---B--. During minutes-long presentations, subjects may report irregular alternations between these interpretations. We combine neuromechanistic modeling and psychoacoustic experiments to study these persistent alternations and to characterize the effects of manipulating stimulus parameters. Unlike many phenomenological models with abstract, percept-specific competition and fixed inputs, our network model comprises neuronal units with sensory feature dependent inputs that mimic the pulsatile-like A1 responses to tones in the ABA- triplets. It embodies a neuronal computation for percept competition thought to occur beyond primary auditory cortex (A1). Mutual inhibition, adaptation and noise are implemented. We include slow NDMA recurrent excitation for local temporal memory that enables linkage across sound gaps from one triplet to the next. Percepts in our model are identified in the firing patterns of the neuronal units. We predict with the model that manipulations of the frequency difference between tones A and B should affect the dominance durations of the stronger percept, the one dominant a larger fraction of time, more than those of the weaker percept—a property that has been previously established and generalized across several visual bistable paradigms. We confirm the qualitative prediction with our psychoacoustic experiments and use the behavioral data to further constrain and improve the model, achieving quantitative agreement between experimental and modeling results. Our work and model provide a platform that can be extended to consider other stimulus conditions, including the effects of context and volition.</p></div>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601479, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555", "stats"=>{"downloads"=>2, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Neuromechanistic_Model_of_Auditory_Bistability_/1601479", "title"=>"Neuromechanistic Model of Auditory Bistability", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438295"], "description"=>"<p><b>A</b>: Repeating ABA- triplet sequences (two triplets shown) consist of higher frequency pure tones A interleaved with lower frequency pure tones B of duration <i>TD</i> separated by a frequency difference Δ<i>f</i>. The time between tone onsets (dashed vertical lines) is inverse of the presentation rate 1/<i>PR</i> (the “-” in “ABA-” represents a silence of duration 1/<i>PR</i>). Throughout this paper tone duration will be set to <i>TD</i> = 1/<i>PR</i> such that offset of an A tone abuts the onset of the next B tone. <b>B</b>: The stimulus is perceived as either integrated into a single stream ABA-ABA- or as two separate streams A-A-A-A- and -B---B--. <b>C</b>: Subject reports of integrated and segregated from a single 4-minute trial (480 triplets) at Δ<i>f</i> = 5 st and <i>PR</i> = 8 Hz.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601447, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g001", "stats"=>{"downloads"=>3, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Stimulus_paradigm_and_two_possible_percepts_/1601447", "title"=>"Stimulus paradigm and two possible percepts.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438297"], "description"=>"<p><b>A</b>: The tone frequency difference between A and B is Δ<i>f</i>. The spread of inputs <i>I</i><sub>A</sub> and <i>I</i><sub>B</sub> across A1 is governed by the decaying input gain function <i>w</i>(Δ<i>f</i>). Example A1 response patterns to the ABA- stimulus are shown (see <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g003\" target=\"_blank\">Fig 3</a> and associated text for more details); these form the inputs to three neuronal populations <i>r</i><sub>A</sub>, <i>r</i><sub>B</sub> and <i>r</i><sub>AB</sub> at the competition stage. Lateral inhibition strength can depend on Δ<i>f</i> (<i>i</i><sub>lcl</sub> case) or be independent of Δ<i>f</i> (<i>i</i><sub>gbl</sub> case) as governed by <i>C</i><sub><i>i</i></sub>(Δ<i>f</i>). <b>B</b>: Each population has a slow adaptation <i>a</i><sub><i>k</i></sub> on a timescale <i>τ</i><sub><i>a</i></sub> with strength <i>g</i>, recurrent excitation <i>e</i><sub><i>k</i></sub> on an intermediate timescale <i>τ</i><sub>e</sub> with strength <i>β</i><sub><i>e</i></sub> and an independent noise source <i>χ</i><sub><i>k</i></sub> with strength <i>γ</i>. Slow synaptic depression <i>d</i><sub><i>k</i></sub> on the recurrent excitation <i>e</i><sub><i>k</i></sub> is not shown. Recurrent inhibition <i>i</i><sub><i>k</i></sub> with strength <i>C</i><sub><i>i</i></sub>(0) is instantaneous allowing for the simplification <i>i</i><sub><i>k</i></sub> = <i>r</i><sub><i>k</i></sub>. See <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e001\" target=\"_blank\">Eq (1)</a> for an illustrative single-unit equation and <i>Model equations and details</i> for the full model (<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e018\" target=\"_blank\">Eq (4)</a>). <b>C</b>: The Δ<i>f</i>-dependent profiles for the input spread <i>w</i>(Δ<i>f</i>) (exponential decay (<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e022\" target=\"_blank\">Eq (7)</a>)) and lateral inhibition <i>C</i><sub><i>i</i></sub>(Δ<i>f</i>) (Gaussian decay (<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e021\" target=\"_blank\">Eq (6)</a>) for <i>i</i><sub>lcl</sub> or constant <i>β</i><sub><i>i</i></sub> for <i>i</i><sub>gbl</sub>). <b>D</b>: Sigmoidal firing rate function <i>F</i>(<i>u</i>) (<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e019\" target=\"_blank\">Eq (5)</a>) with maximal slope <i>k</i><sub><i>F</i></sub>/4 at the threshold <i>θ</i><sub><i>F</i></sub>.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601449, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g002", "stats"=>{"downloads"=>0, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_architecture_/1601449", "title"=>"Model architecture.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438301"], "description"=>"<p><b>A</b>: Input time courses are represented by double alpha functions (see <i>Model equations and details</i> and <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e023\" target=\"_blank\">Eq (8)</a>) that capture the onset and plateau characteristics of A1-responses from [<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.ref028\" target=\"_blank\">28</a>]. For a single 125 ms tone of frequency A less input will arrive at locations AB and B than at A as described by <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e022\" target=\"_blank\">Eq (7)</a> and plotted here for Δ<i>f</i> = 4 [<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.ref026\" target=\"_blank\">26</a>]. <b>B</b>: Inputs (see legend in C) to the respective populations <i>r</i><sub>A</sub>, <i>r</i><sub>B</sub> and <i>r</i><sub>AB</sub> for an ABA- triplet of 0.5 s (tone duration and post-triplet silence “-” of 125 ms, i.e. <i>PR</i> = 8 Hz). Tone onsets: black circle for A-tone, gray diamond for B-tone. <b>C</b>: As B with curves distributed across the model’s tonotopy. The A-tone input is full amplitude at the A location, less at the AB location and further less at the B location, correspondingly for the B-tone input.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601453, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g003", "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_inputs_/1601453", "title"=>"Model inputs.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438306"], "description"=>"<p><b>A</b>: Population firing rate time courses with Δ<i>f</i> = 5 st and <i>PR</i> = 8 Hz. The firing rate function threshold <i>θ</i><sub><i>F</i></sub> is a horizontal dashed black line. Abrupt perceptual switches are seen when AB firing decreases/increases drastically (vertical black lines); see text for the exact criterion for a switch. <b>B</b>: As in A, here for the synaptic excitation variables. <b>C</b>: As in A for the adaptation variables. <b>D</b>: Percept as encoded from A, see text. <b>E</b>: Encoded percept for the full 240 s simulation; panels A–D show only first 20 s. <b>F</b>: Time course of continuous percept reporting in psychoacoustic experimental for a 240 s trial at Δ<i>f</i> = 5 st.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601457, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g004", "stats"=>{"downloads"=>1, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Time_courses_of_model_responses_A_8211_C_predicted_percepts_D_8211_E_and_an_example_of_perceptual_reports_from_our_psychoacoustic_experiments_F_/1601457", "title"=>"Time courses of model responses (A–C), predicted percepts (D–E), and an example of perceptual reports from our psychoacoustic experiments (F).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438307"], "description"=>"<p><b>A</b>: Histogram of 1000 durations from model simulations at Δ<i>f</i> = 5 combined across perceptual type after normalising by the mean, see text. Curves show best-fit by gamma and log-normal distributions, P-values from one-way KS test are shown (in gray if the distribution can be rejected at the 0.05 significant level). <b>B</b>: As in A, here for the experimental condition Δ<i>f</i> = 5; normalized data combined across subjects.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601458, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g005", "stats"=>{"downloads"=>0, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Statistics_of_dominance_durations_/1601458", "title"=>"Statistics of dominance durations.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438308"], "description"=>"<p><b>A</b>: Schematic diagram of the perceptual regions in terms of presentation rate and frequency difference, redrawn after [<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.ref002\" target=\"_blank\">2</a>]. <b>B</b>: Grayscale map of proportion (of time) integrated <i>U</i><sub>int</sub> (see <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e010\" target=\"_blank\">Eq (2)</a>), segregated region is above red contour at <i>U</i><sub>int</sub> = 0.05, integrated region is below blue contour at <i>U</i><sub>int</sub> = 0.95, ambiguous region lies in between with equidominance at <i>U</i><sub>int</sub> = 0.5 along the dashed green contour. Vertical dashed line at <i>PR</i> = 8 corresponds to the frequency difference sweep used later in Figs <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g008\" target=\"_blank\">8</a> and <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g009\" target=\"_blank\">9</a>.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601459, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g006", "stats"=>{"downloads"=>0, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Perceptual_organization_for_stimulus_parameters_/1601459", "title"=>"Perceptual organization for stimulus parameters.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438310"], "description"=>"<p>Schematic diagrams illustrate how the mean percept durations may change as a stimulus parameter S is varied and dominance shifts gradually from percept 1 to percept 2. The upper row illustrates the weaker percept being affected more and the lower row the stronger percept being affected more. <b>A,D</b>: Proportion of time when percept 1 is dominant decreases monotonically through equidominance (0.5) (dashed lines) in both scenarios. When <i>S</i> < <i>S</i><sub>eq</sub> percept 1 is stronger, when <i>S</i> > <i>S</i><sub>eq</sub> percept 2 is stronger. <b>B,E</b>: Percept durations are equal (<i>T</i><sub>1</sub> = <i>T</i><sub>2</sub> = <i>T</i><sub>eq</sub>) at equidominance (<i>S</i> = <i>S</i><sub>eq</sub>) in both scenarios. When the weaker percept is affected more the lower branches decrease more on either side of equidominance (<b>B</b>). When the stronger percept is affected more the upper branches increase more on either side of equidominance (<b>E</b>). <b>C,F</b>: The measure <i>η</i> (defined by <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e011\" target=\"_blank\">Eq (3)</a>) is zero at equidominance (<i>S</i> = <i>S</i><sub>eq</sub>) for both scenarios. It decreases on either side of equidominance when the weaker percept is affected more (<b>C</b>) and increases on either side of equidominance when the stronger percept is affected more (<b>F</b>).</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601461, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g007", "stats"=>{"downloads"=>0, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Scenarios_for_parametric_dependence_of_perceptual_dominance_/1601461", "title"=>"Scenarios for parametric dependence of perceptual dominance.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438313"], "description"=>"<p><b>A</b>: Proportion integrated computed across 50 simulations of 240 s at each of 15 values of Δ<i>f</i> ∈ [1, 15] with fixed <i>PR</i> = 8 (this parameter range corresponds to the dashed vertical black line in <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g006\" target=\"_blank\">Fig 6A</a>). There is a shift from integrated being stronger to segregated being stronger with equidominance (indicated by dashed lines) at Δ<i>f</i> ≈ 5. <b>B</b>: Normalized durations integrated and durations segregated with a crossover at Δ<i>f</i> ≈ 5 where <i>T</i><sup>int</sup> = <i>T</i><sup>seg</sup>. <b>C</b>: The measure <i>η</i> given by <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.e011\" target=\"_blank\">Eq (3)</a>, which equals 0 at equidominance. The results are consistent with Δ<i>f</i> affecting the stronger percept more (<a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g007\" target=\"_blank\">Fig 7D–7F</a>).</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601464, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g008", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Parametric_dependence_of_perceptual_dominance_model_prediction_with_e_fix_i_lcl_/1601464", "title"=>"Parametric dependence of perceptual dominance: model prediction with (<i>e</i><sub>fix</sub>, <i>i</i><sub>lcl</sub>).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438314"], "description"=>"<p>Comparison of experimental and computational results. <b>A–C</b>: Proportion integrated, durations integrated and segregated, and the measure <i>η</i> plotted against Δ<i>f</i>. Experimental data are solid curves with data points at the Δ<i>f</i>-values indicated on the x-axis, error bars show standard error of the mean with <i>N</i> = 15 subjects except at Δ<i>f</i> = 1 (<i>N</i> = 13) and Δ<i>f</i> = 15 (<i>N</i> = 14). Model data with dynamic recurrent excitation and global inhibition (<i>e</i><sub>dyn</sub>, <i>i</i><sub>gbl</sub>) plotted for comparison. <b>D–F</b>: Model data with (<i>e</i><sub>dyn</sub>, <i>i</i><sub>gbl</sub>) plotted with model data for fixed recurrent excitation and spatially localized inhibition (<i>e</i><sub>fix</sub>, <i>i</i><sub>lcl</sub>) for comparison.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601465, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g009", "stats"=>{"downloads"=>0, "page_views"=>10, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Parametric_dependence_of_perceptual_dominance_experiment_/1601465", "title"=>"Parametric dependence of perceptual dominance: experiment.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438318"], "description"=>"<p><b>A</b>: Proportion integrated <i>U</i><sub>int</sub> varying Δ<i>f</i> and <i>PR</i> plotted as a grayscale map. Solid are contours at <i>U</i><sub>int</sub> = 0.05 (red) and <i>U</i><sub>int</sub> = 0.95 (blue) demarcating regions where segregated and integrated are considered dominant, respectively. A dashed green contour in the ambiguous region indicates equidominance <i>U</i><sub>int</sub> = 0.5. Vertical dashed line at <i>PR</i> = 8 corresponds to the frequency difference sweep used in Figs <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g008\" target=\"_blank\">8</a> and <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004555#pcbi.1004555.g009\" target=\"_blank\">9</a>. <b>B</b>: Surface plots of mean duration integrated and mean duration segregated (not normalized) across the same range as A. Black curve is the intersection of the two surfaces (equidominance). Dashed and solid curves indicate the cross sections plotted in C at <i>PR</i> = 5 and <i>PR</i> = 15, respectively. <b>C</b>: Durations integrated and segregated varying Δ<i>f</i> for fixed <i>PR</i> as indicated; in each case the equidominance point is a black dot.</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601469, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g010", "stats"=>{"downloads"=>2, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Perceptual_organization_for_stimulus_parameters_in_model_e_dyn_i_gbl_/1601469", "title"=>"Perceptual organization for stimulus parameters in model (<i>e</i><sub>dyn</sub>, <i>i</i><sub>gbl</sub>).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/2438320"], "description"=>"<p><b>A</b>: Mean first percept duration and mean subsequent percept duration for all durations combined across both percept types, <i>N</i> = 16 subjects and <i>R</i> = 3 repetitions. Error bars show standard error of the mean. <b>B</b>: Standard Tukey box plot of <i>T</i><sup>glob</sup> for <i>N</i> = 16 subjects (box shows quartiles, whiskers are most extreme data points within 1.5 × iqr of the upper and lower quartiles, “+” are individual outliers).</p>", "links"=>[], "tags"=>["triplet", "percept", "Auditory Bistability Sequences", "frequency B tones", "aba", "ndma", "psychoacoustic experiments", "model"], "article_id"=>1601471, "categories"=>["Uncategorised"], "users"=>["James Rankin", "Elyse Sussman", "John Rinzel"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1004555.g011", "stats"=>{"downloads"=>2, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_First_and_subsequent_durations_summary_statistics_of_the_subject_8217_s_grand_mean_durations_/1601471", "title"=>"First and subsequent durations, summary statistics of the subject’s grand mean durations.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-11-12 03:22:04"}

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Relative Metric

{"start_date"=>"2015-01-01T00:00:00Z", "end_date"=>"2015-12-31T00:00:00Z", "subject_areas"=>[]}
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