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(PDF) Time course of perceptual discrimination and single neuron reliability | Ehud Zohary - Academia.edu

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We suggest that the neural basis of this improvement is the existence of a mechanism for integrating a noisy firing rate over some period, leading to a reduction in mean firing rate variance with available processing time. We have determined the experimental time course of the improvement in reliability in a parallel search task where the available inspection time is limited by the presentation of a mask at various times after a brief stimulus. We compare the resulting psychometric functions with the predictions of a model based on Signal Detection Theory. The model is based on the assumption that the reliability of the observer's response is limited by the variability of the responses of individual neurons. The reliability of the discrimination between two stimuli at the neuronal level is then directly related to the ratio of the difference between their integrated mean responses (over many trials) to the response standard deviation. This reliability increases with inspection time. To demonstrate application of the model to electrophysiological data, \"neurometric functions\" are derived from the firing rates of a monkey V1 cortical neuron. The data were obtained while the animal was active in a discrimination task. The results correspond qualitatively to our observed human psychometric functions.","publication_date":"1990,,","publication_name":"Biological Cybernetics","grobid_abstract_attachment_id":"43448190"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Time course of perceptual discrimination and single neuron reliability","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [34254952]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div 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class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Time course of perceptual discrimination and single neuron reliability</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="34254952" href="https://huji.academia.edu/EhudZohary"><img alt="Profile image of Ehud Zohary" class="ds-work-card--author-avatar" src="//a.academia-assets.com/images/s65_no_pic.png" />Ehud Zohary</a></div><p class="ds-work-card--detail ds2-5-body-sm">1990, Biological Cybernetics</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" 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data-landing_url="https://www.academia.edu/15195314/Time_course_of_perceptual_discrimination_and_single_neuron_reliability" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="113114180" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/113114180/Effects_of_Attention_on_the_Reliability_of_Individual_Neurons_in_Monkey_Visual_Cortex">Effects of Attention on the Reliability of Individual Neurons in Monkey Visual Cortex</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="219110219" href="https://swmed.academia.edu/CarrieMcAdams">Carrie McAdams</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Neuron, 1999</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Effects of Attention on the Reliability of Individual Neurons in Monkey Visual Cortex&quot;,&quot;attachmentId&quot;:110159708,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/113114180/Effects_of_Attention_on_the_Reliability_of_Individual_Neurons_in_Monkey_Visual_Cortex&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/113114180/Effects_of_Attention_on_the_Reliability_of_Individual_Neurons_in_Monkey_Visual_Cortex"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="54039176" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/54039176/Discrimination_performance_of_single_neurons_rate_and_temporal_pattern_information">Discrimination performance of single neurons: rate and temporal-pattern information</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="51816774" href="https://independent.academia.edu/RichardSalvi">Richard Salvi</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of neurophysiology, 1991</p><p class="ds-related-work--abstract ds2-5-body-sm">1. A new method of measuring the performance of neurons in sensory discrimination tasks was developed and then applied to single-neuron responses recorded in the auditory nerve of chinchilla and in the striate visual cortex of cat. 2. Most previous methods of measuring discrimination performance have employed decision rules that involve comparing the total counts of action potentials (spikes) produced by two different stimuli. Such measures ignore response pattern and hence may not reflect all the information transmitted by a neuron. The proposed method attempts to measure all (or most) of the transmitted information by constructing descriptive models of the neuron&amp;#39;s response to each stimulus in the discrimination experiment; these descriptive models consist of measured probability distributions of the spike counts in small time bins. The measured probability distributions are then used to define an optimal decision rule (an ideal observer) for discriminating the two stimuli. Fi...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Discrimination performance of single neurons: rate and temporal-pattern information&quot;,&quot;attachmentId&quot;:70595930,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/54039176/Discrimination_performance_of_single_neurons_rate_and_temporal_pattern_information&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/54039176/Discrimination_performance_of_single_neurons_rate_and_temporal_pattern_information"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="23632744" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/23632744/A_Neural_Timing_Model_of_Visual_Threshold">A Neural Timing Model of Visual Threshold</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="11302330" href="https://washington.academia.edu/MichaelRudd">Michael Rudd</a></div><p class="ds-related-work--abstract ds2-5-body-sm">A theory of visual threshold-versus-intensity curves is presented. The theory is based on a model of spike generation by idealized visual neurons. The spike generation model relates the interarrival time statistics of the neural spikes to the statistics of weighted photon sum-mation within the receptive field of the spiking neuron. The spike generation model is combined with the psychophysical assumption that the observer monitors a neuron which is ideally matched to the target in both scale and location. The resulting model specifies how the interarrival time distribution depends on the incremental flash intensity, area, and duration of the threshold stimulus and on the background luminance. A further psychophysical assumption is then added to the model: that the observer uses a neural timing model in order to discriminate test trials from blanks. On the basis of the complete model, a theory of threshold-versus-intensity functions is derived. The model observer exhibits threshold behavior that mimics many aspects of the threshold judgments of human observers. In particular, the theoretical threshold functions exhibit: (1) at low background levels, absolute thresholds which depend inversely on test area and duration; (2) at moderate background levels, de VriessRose behavior if and only if the test flash is sufficiently small and brief; and (3) in the limit of high background levels, asymptotic Weber behavior. The theory also accounts for changes in the shape of the threshold-versus-intensity curve as test flash area (or spatial frequency) and duration are altered. It is argued that empirical failures to find Weber behavior at high backgrounds under some stimulus conditions (high spatial frequency or small targets, brief targets) may be due to the occurrence of photoreceptor saturation at background levels that are below the range in which Weber behavior would be predicted by the (nonsaturating) model presented here.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;A Neural Timing Model of Visual Threshold&quot;,&quot;attachmentId&quot;:44044269,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/23632744/A_Neural_Timing_Model_of_Visual_Threshold&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/23632744/A_Neural_Timing_Model_of_Visual_Threshold"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="70119173" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/70119173/High_response_reliability_of_neurons_in_primary_visual_cortex_V1_of_alert_trained_monkeys">High response reliability of neurons in primary visual cortex (V1) of alert, trained monkeys</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="39416327" href="https://independent.academia.edu/MosheGur">Moshe Gur</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2006</p><p class="ds-related-work--abstract ds2-5-body-sm">The reliability of neuronal responses determines the resources needed to represent the external world and constrains the nature of the neural code. Studies of anesthetized animals have indicated that neuronal responses become progressively more variable as information travels from the retina to the cortex. These results have been interpreted to indicate that perception must be based on pooling across relatively large numbers of cells. However, we find that in alert monkeys, responses in primary visual cortex (V1) are as reliable as the inputs from the retina and the thalamus. Moreover, when the effects of fixational eye movements were minimized, response variability (variance/mean — Fano factor, FF) in all V1 layers was low. When presenting optimal stimuli, the median FF was 0.3. High variability, FF ~ 1, was found only near threshold. Our results suggest that in natural vision, suprathreshold perception can be based on small numbers of optimally stimulated cells.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;High response reliability of neurons in primary visual cortex (V1) of alert, trained monkeys&quot;,&quot;attachmentId&quot;:79981826,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/70119173/High_response_reliability_of_neurons_in_primary_visual_cortex_V1_of_alert_trained_monkeys&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/70119173/High_response_reliability_of_neurons_in_primary_visual_cortex_V1_of_alert_trained_monkeys"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="1491690" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/1491690/Information_in_the_Neuronal_Representation_of_Individual_Stimuli_in_the_Primate_Temporal_Visual_Cortex">Information in the Neuronal Representation of Individual Stimuli in the Primate Temporal Visual Cortex</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="474457" href="https://newcastle.academia.edu/MartinTovee">Martin Tovee</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Computational Neuroscience, 1997</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Information in the Neuronal Representation of Individual Stimuli in the Primate Temporal Visual Cortex&quot;,&quot;attachmentId&quot;:11682235,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/1491690/Information_in_the_Neuronal_Representation_of_Individual_Stimuli_in_the_Primate_Temporal_Visual_Cortex&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/1491690/Information_in_the_Neuronal_Representation_of_Individual_Stimuli_in_the_Primate_Temporal_Visual_Cortex"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="73010106" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/73010106/Detection_of_visual_stimuli_in_correlated_noise">Detection of visual stimuli in correlated noise</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="3690177" href="https://uni-muenster.academia.edu/UweMortensen">Uwe Mortensen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Mathematical Psychology, 2007</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Detection of visual stimuli in correlated noise&quot;,&quot;attachmentId&quot;:81702687,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/73010106/Detection_of_visual_stimuli_in_correlated_noise&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/73010106/Detection_of_visual_stimuli_in_correlated_noise"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="1491692" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/1491692/Information_encoding_in_short_firing_rate_epochs_by_single_neurons_in_the_primate_temporal_visual_cortex">Information encoding in short firing rate epochs by single neurons in the primate temporal visual cortex</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="474457" href="https://newcastle.academia.edu/MartinTovee">Martin Tovee</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Visual Cognition, 1995</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" 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style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="7888218" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/7888218/Modelling_a_visual_discrimination_task">Modelling a visual discrimination task</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14753247" href="https://independent.academia.edu/benoitgaillard">benoit gaillard</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Neurocomputing, 2005</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Modelling a visual discrimination 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href="https://www.academia.edu/7888217/Population_approach_to_a_neural_discrimination_task">Population approach to a neural discrimination task</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14753247" href="https://independent.academia.edu/benoitgaillard">benoit gaillard</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Biological Cybernetics, 2006</p><p class="ds-related-work--abstract ds2-5-body-sm">This article gives insights into the possible neuronal processes involved in visual discrimination. We study the performance of a spiking network of Integrate-and-Fire (IF) neurons when performing a benchmark discrimination task. The task we adopted consists of determining the direction of moving dots in a noisy context using similar stimuli to those in the experiments of Newsome and colleagues. We present a neural model that performs the discrimination involved in this task. By varying the synaptic parameters of the IF neurons, we illustrate the counter-intuitive importance of the second-order statistics (input noise) in improving the discrimination accuracy of the model. We show that measuring the Firing Rate (FR) over a population enables the model to discriminate in realistic times, and even surprisingly significantly increases its discrimination accuracy over the single neuron case, despite the faster processing. We also show that increasing the input noise increases the discrimination accuracy but only at the expense of the speed at which we can read out the FR.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Population approach to a neural discrimination task&quot;,&quot;attachmentId&quot;:48301259,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/7888217/Population_approach_to_a_neural_discrimination_task&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/7888217/Population_approach_to_a_neural_discrimination_task"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="21503536" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/21503536/Dynamic_Control_of_Response_Criterion_in_Premotor_Cortex_during_Perceptual_Detection_under_Temporal_Uncertainty">Dynamic Control of Response Criterion in Premotor Cortex during Perceptual Detection under Temporal Uncertainty</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="42593773" href="https://independent.academia.edu/OmriBarak">Omri Barak</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="42780903" href="https://independent.academia.edu/vhlafuente">Victor de Lafuente</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Neuron, 2015</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Dynamic Control of Response Criterion in Premotor Cortex during Perceptual Detection under Temporal Uncertainty&quot;,&quot;attachmentId&quot;:41945649,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/21503536/Dynamic_Control_of_Response_Criterion_in_Premotor_Cortex_during_Perceptual_Detection_under_Temporal_Uncertainty&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/21503536/Dynamic_Control_of_Response_Criterion_in_Premotor_Cortex_during_Perceptual_Detection_under_Temporal_Uncertainty"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;continue-reading-button--sticky-ctas&quot;,&quot;attachmentId&quot;:43448190,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;download-pdf-button--sticky-ctas&quot;,&quot;attachmentId&quot;:43448190,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_43448190" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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