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Zhang X, Qiu Y, Li J, Jia C, Liao J, Chen K, Qiu L, Yuan Z, Huang R. Neural correlates of transitive inference: An SDM meta-analysis on 32 fMRI studies. Neuroimage 2022; 258:119354. [PMID: 35659997 DOI: 10.1016/j.neuroimage.2022.119354] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2022] [Revised: 05/02/2022] [Accepted: 05/31/2022] [Indexed: 11/28/2022] Open
Abstract
Transitive inference (TI) is a critical capacity involving the integration of relevant information into prior knowledge structure for drawing novel inferences on unobserved relationships. To date, the neural correlates of TI remain unclear due to the small sample size and heterogeneity of various experimental tasks from individual studies. Here, the meta-analysis on 32 fMRI studies was performed to detect brain activation patterns of TI and its three paradigms (spatial inference, hierarchical inference, and associative inference). We found the hippocampus, prefrontal cortex (PFC), putamen, posterior parietal cortex (PPC), retrosplenial cortex (RSC), supplementary motor area (SMA), precentral gyrus (PreCG), and median cingulate cortex (MCC) were engaged in TI. Specifically, the RSC was implicated in the associative inference, whereas PPC, SMA, PreCG, and MCC were implicated in the hierarchical inference. In addition, the hierarchical inference and associative inference both evoked activation in the hippocampus, medial PFC, and PCC. Although the meta-analysis on spatial inference did not generate a reliable result due to insufficient amount of investigations, the present work still offers a new insight for better understanding the neural basis underlying TI.
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Affiliation(s)
- Xiaoying Zhang
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Yidan Qiu
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Jinhui Li
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Chuchu Jia
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Jiajun Liao
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Kemeng Chen
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Lixin Qiu
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China
| | - Zhen Yuan
- Centre for Cognitive and Brain Sciences, University of Macau, Macau SAR, China.
| | - Ruiwang Huang
- Key Laboratory of Brain, Cognition and Education Sciences (South China Normal University), Ministry of Education; School of Psychology; Center for Studies of Psychological Application; Guangdong Key Laboratory of Mental Health and Cognitive Science, South China Normal University, 510631 Guangzhou, China.
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Top-Down Attentional Processing and Relational Density Evident in Word Search Performance of Children. Behav Anal Pract 2021; 15:684-697. [DOI: 10.1007/s40617-021-00614-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 05/26/2021] [Indexed: 11/25/2022] Open
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Fields L, Doran E, Foxe JJ. Equivalence class formation when responding is separated from sample and comparison stimuli: Working memory, priming, and sorting. J Exp Anal Behav 2020; 115:361-375. [PMID: 33289111 DOI: 10.1002/jeab.651] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/19/2020] [Revised: 11/04/2020] [Accepted: 11/07/2020] [Indexed: 11/11/2022]
Abstract
The experiment determined whether equivalence class formation required overlap of comparison stimuli and responding. Each trial contained a sample first, a single, nonoverlapping comparison second, and a nonoverlapping response-window (RW) third, during which the participant made one of two responses (2R). All 11 participants formed two 3-member ABC equivalence classes using these "trace-stimulus-pairing two-response with response window" (TSP-2R-RW) trials. After adding a fourth stimulus (D) by CD training, ABCD tests showed immediate expansion to 4-member ABCD classes. When 4-member probes (AD, DA, BD, DB, CD, DC) were administered without 3-member probes, many participants showed decrements in class-indicative responding that then resurged to mastery with test repetition. Thus, 3-member probes enhanced class expansion. Class formation occurred for all participants when responding was temporally dissociated from the comparisons. In a matched, contemporaneously published experiment, where responding occurred during comparisons, only 54% of participants formed the classes. Thus, the comparison-response-separation nearly doubled class formation. Additionally, a special post-class-formation sorting test documented the emergence of two explicit equivalence classes. Finally, we noted a 1:1 correspondence for TSP-2R-RW and priming trials. Since priming measures neural substrates of equivalence classes, TSP-2R-RW trials should do the same.
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Affiliation(s)
- Lanny Fields
- Queens College and The Graduate Center/The City University of New York (CUNY)
| | - Erica Doran
- Queens College (CUNY) and St. John's University, New York, NY
| | - John J Foxe
- The Del Monte Institute for Neuroscience, Department of Neuroscience, University of Rochester School of Medicine and Dentistry, Rochester, NY
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Dixon MR, Belisle J, Rehfeldt RA, Root WB. Why We Are Still Not Acting to Save the World: the Upward Challenge of a Post-Skinnerian Behavior Science. Perspect Behav Sci 2018; 41:241-267. [PMID: 31976395 PMCID: PMC6701496 DOI: 10.1007/s40614-018-0162-9] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
Abstract
Basic research on derived stimulus relations reveals many effects that may be useful in understanding and resolving significant and complex societal problems. Applied research on derived stimulus relations has done little to fulfill this promise, focusing instead mainly on simple demonstrations of well-known phenomena. We trace the research tradition of derived stimulus relations from laboratory to wide-scale implementation, and put forward several suggestions for how to progress effective and impactful research on derived relational responding to issues of immense social importance. To advance a science of behavior from relative social obscurity to the developing world-saving technologies, we must evaluate our own behavior as scientists in the grander social context.
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Affiliation(s)
- Mark R. Dixon
- Behavior Analysis & Therapy, Southern Illinois University, 1025 Lincoln Drive, Carbondale, IL USA
| | - Jordan Belisle
- Behavior Analysis & Therapy, Southern Illinois University, 1025 Lincoln Drive, Carbondale, IL USA
| | - Ruth Anne Rehfeldt
- Behavior Analysis & Therapy, Southern Illinois University, 1025 Lincoln Drive, Carbondale, IL USA
| | - William B. Root
- Behavior Analysis & Therapy, Southern Illinois University, 1025 Lincoln Drive, Carbondale, IL USA
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Dymond S, Bennett M, Boyle S, Roche B, Schlund M. Related to Anxiety: Arbitrarily Applicable Relational Responding and Experimental Psychopathology Research on Fear and Avoidance. Perspect Behav Sci 2018; 41:189-213. [PMID: 32004365 PMCID: PMC6701705 DOI: 10.1007/s40614-017-0133-6] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
Humans have an unparalleled ability to engage in arbitrarily applicable relational responding (AARR). One of the consequences of this ability to spontaneously combine and relate events from the past, present, and future may, in fact, be a propensity to suffer. For instance, maladaptive fear and avoidance of remote or derived threats may actually perpetuate anxiety. In this narrative review, we consider contemporary AARR research on fear and avoidance as it relates to anxiety. We first describe laboratory-based research on the emergent spread of fear- and avoidance-eliciting functions in humans. Next, we consider the validity of AARR research on fear and avoidance and address the therapeutic implications of the work. Finally, we outline challenges and opportunities for a greater synthesis between behavior analysis research on AARR and experimental psychopathology.
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Affiliation(s)
- Simon Dymond
- Experimental Psychopathology Lab, Department of Psychology, Swansea University, Singleton Campus, Swansea, SA2 8PP UK
- Department of Psychology, Reykjavík University, Menntavegur 1, Nauthólsvík, 101 Reykjavík, Iceland
| | - Marc Bennett
- Trinity College Institute of Neuroscience, Trinity College Dublin, Lloyd Building, Dublin 2, Ireland
| | - Sean Boyle
- Department of Psychology, Maynooth University, Maynooth, Co. Kildare Ireland
| | - Bryan Roche
- Department of Psychology, Maynooth University, Maynooth, Co. Kildare Ireland
| | - Michael Schlund
- Department of Psychiatry, University of Pittsburgh, Loeffler Building, Room 316, 121 Meyran Avenue, Pittsburgh, PA 15213 USA
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Dixon MR, Belisle J, McKeel A, Whiting S, Speelman R, Daar JH, Rowsey K. An Internal and Critical Review of the PEAK Relational Training System for Children with Autism and Related Intellectual Disabilities: 2014-2017. THE BEHAVIOR ANALYST 2017; 40:493-521. [PMID: 31978209 PMCID: PMC6701227 DOI: 10.1007/s40614-017-0119-4] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
Abstract
The PEAK Relational Training System was designed as an assessment instrument and treatment protocol for addressing language and cognitive deficits in children with autism. PEAK contains four comprehensive training modules: Direct Training and Generalization emphasize a contingency-based framework of language development, and Equivalence and Transformation emphasize an approach to language development consistent with Relational Frame Theory. The present paper provides a comprehensive and critical review of peer-reviewed publications based on the entirety PEAK system through April, 2017. We describe both psychometric and outcome research, and indicate both positive features and limitations of this body of work. Finally, we note several research and practice questions that remain to be answered with the PEAK curriculum as well as other many other autism assessment and treatment protocols that are rooted within the framework of applied behavior analysis.
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Affiliation(s)
- Mark R. Dixon
- Behavior Analysis and Therapy Program, Southern Illinois University, Carbondale, IL 62901 USA
| | - Jordan Belisle
- Behavior Analysis and Therapy Program, Southern Illinois University, Carbondale, IL 62901 USA
| | | | - Seth Whiting
- Central Michigan University, Mt Pleasant, MI USA
| | | | | | - Kyle Rowsey
- University of Southern Mississippi, Hattiesburg, MS USA
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Sandoz EK, Hebert ER. Using derived relational responding to model statistics learning across participants with varying degrees of statistics anxiety. ACTA ACUST UNITED AC 2016. [DOI: 10.1080/15021149.2016.1146552] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Emily K. Sandoz
- Department of Psychology, University of Louisiana at Lafayette, Lafayette, LA, USA
| | - Emmie R. Hebert
- Department of Psychology, University of Louisiana at Lafayette, Lafayette, LA, USA
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Klabunde M, Saggar M, Hustyi KM, Kelley RG, Reiss AL, Hall SS. Examining the neural correlates of emergent equivalence relations in fragile X syndrome. Psychiatry Res 2015; 233:373-9. [PMID: 26250852 PMCID: PMC4555007 DOI: 10.1016/j.pscychresns.2015.06.009] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/02/2014] [Revised: 03/23/2015] [Accepted: 06/25/2015] [Indexed: 10/23/2022]
Abstract
The neural mechanisms underlying the formation of stimulus equivalence relations are poorly understood, particularly in individuals with specific learning impairments. As part of a larger study, we used functional magnetic resonance imaging (fMRI) while participants with fragile X syndrome (FXS), and age- and IQ-matched controls with intellectual disability, were required to form new equivalence relations in the scanner. Following intensive training on matching fractions to pie charts (A=B relations) and pie charts to decimals (B=C relations) outside the scanner over a 2-day period, participants were tested on the trained (A=B, B=C) relations, as well as emergent symmetry (i.e., B=A and C=B) and transitivity/equivalence (i.e., A=C and C=A) relations inside the scanner. Eight participants with FXS (6 female, 2 male) and 10 controls, aged 10-23 years, were able to obtain at least 66.7% correct on the trained relations in the scanner and were included in the fMRI analyses. Across both groups, results showed that the emergence of symmetry relations was correlated with increased brain activation in the left inferior parietal lobule, left postcentral gyrus, and left insula, broadly supporting previous investigations of stimulus equivalence research in neurotypical populations. On the test of emergent transitivity/equivalence relations, activation was significantly greater in individuals with FXS compared with controls in the right middle temporal gyrus, left superior frontal gyrus and left precuneus. These data indicate that neural execution was significantly different in individuals with FXS than in age- and IQ-matched controls during stimulus equivalence formation. Further research concerning how gene-brain-behavior interactions may influence the emergence of stimulus equivalence in individuals with intellectual disabilities is needed.
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Affiliation(s)
| | | | | | | | | | - Scott S. Hall
- Corresponding author: Center for Interdisciplinary Brain Sciences Research, Room 1365, Department of Psychiatry and Behavioral Sciences, Stanford University School of Medicine, 401 Quarry Road, Stanford, CA, USA. Tel.: +1 (650) 498 4799,
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Wang T, Dymond S. Event-related potential correlates of emergent inference in human arbitrary relational learning. Behav Brain Res 2013; 236:332-343. [DOI: 10.1016/j.bbr.2012.08.033] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/02/2012] [Revised: 08/17/2012] [Accepted: 08/21/2012] [Indexed: 10/27/2022]
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DeRosse P, Fields L. The contextually controlled, feature-mediated classification of symbols. J Exp Anal Behav 2011; 93:225-45. [PMID: 20885812 DOI: 10.1901/jeab.2010.93-225] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2009] [Accepted: 12/19/2009] [Indexed: 11/22/2022]
Abstract
The classification of names of people or objects based on the features acquired by the names and the sorting instructions provided is a commonplace occurrence. For example, given the names Renoir, Pollock, James and Voltaire the average adult would be able to classify them differentially based on the instruction to classify them based on vocation or nationality. In general, such a repertoire reflects the reclassification of symbols (i.e, the names of individuals) in terms of contextual cues (instructions to sort by vocation or nationality) and the features acquired by the symbols (the specific nationalities and vocations). The present experiment studied this phenomenon with the use of arbitrary stimuli that did not have clear preexperimental associations. Two of 4 participants classified the symbols into different equivalence classes based on the prevailing contextual cues and the features that had been acquired by the symbols. Using an ABA reversal design we then demonstrated that 1 participant classified the symbols in accordance with the contextual cues and acquired features when present, but not in the absence of the contextual cues. A 3rd participant showed symbol classification that differed from that predicted by the procedures, and the 4th classified the symbols based on one set of features but not on context. These data describe one set of conditions that could account for the establishment of complex classification repertoires that occur in natural settings.
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Affiliation(s)
- Pamela DeRosse
- The Zucker Hillside Hospital of the North Shore LIJ Health System, Glen Oaks, NY 11004, USA.
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Inferential reasoning by exclusion recruits parietal and prefrontal cortices. Neuroimage 2010; 52:1603-10. [DOI: 10.1016/j.neuroimage.2010.05.040] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/03/2009] [Revised: 02/17/2010] [Accepted: 05/13/2010] [Indexed: 11/19/2022] Open
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Ogawa A, Yamazaki Y, Ueno K, Cheng K, Iriki A. Neural Correlates of Species-typical Illogical Cognitive Bias in Human Inference. J Cogn Neurosci 2010; 22:2120-30. [DOI: 10.1162/jocn.2009.21330] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
Abstract
Abstract
The ability to think logically is a hallmark of human intelligence, yet our innate inferential abilities are marked by implicit biases that often lead to illogical inference. For example, given AB (“if A then B”), people frequently but fallaciously infer the inverse, BA. This mode of inference, called symmetry, is logically invalid because, although it may be true, it is not necessarily true. Given pairs of conditional relations, such as AB and BC, humans reflexively perform two additional modes of inference: transitivity, whereby one (validly) infers AC; and equivalence, whereby one (invalidly) infers CA. In sharp contrast, nonhuman animals can handle transitivity but can rarely be made to acquire symmetry or equivalence. In the present study, human subjects performed logical and illogical inferences about the relations between abstract, visually presented figures while their brain activation was monitored with fMRI. The prefrontal, medial frontal, and intraparietal cortices were activated during all modes of inference. Additional activation in the precuneus and posterior parietal cortex was observed during transitivity and equivalence, which may reflect the need to retrieve the intermediate stimulus (B) from memory. Surprisingly, the patterns of brain activation in illogical and logical inference were very similar. We conclude that the observed inference-related fronto-parietal network is adapted for processing categorical, but not logical, structures of association among stimuli. Humans might prefer categorization over the memorization of logical structures in order to minimize the cognitive working memory load when processing large volumes of information.
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Affiliation(s)
| | - Yumiko Yamazaki
- 1RIKEN Brain Science Institute, Wako-shi, Japan
- 2Keio University, Tokyo, Japan
| | | | - Kang Cheng
- 1RIKEN Brain Science Institute, Wako-shi, Japan
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Munnelly A, Dymond S, Hinton EC. Relational reasoning with derived comparative relations: A novel model of transitive inference. Behav Processes 2010; 85:8-17. [DOI: 10.1016/j.beproc.2010.05.007] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2010] [Revised: 04/15/2010] [Accepted: 05/19/2010] [Indexed: 11/29/2022]
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Neural correlates of relational reasoning and the symbolic distance effect: involvement of parietal cortex. Neuroscience 2010; 168:138-48. [PMID: 20371271 DOI: 10.1016/j.neuroscience.2010.03.052] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2010] [Revised: 03/19/2010] [Accepted: 03/24/2010] [Indexed: 10/19/2022]
Abstract
A novel, five-term relational reasoning paradigm was employed during functional magnetic resonance imaging to investigate neural correlates of the symbolic distance effect (SDE). Prior to scanning, participants learned a series of more-than (E>D>C>B>A) or less-than (A<B<C<D<E) ordered premise pairs. During scanning, inferential tests presented the premise pairs, adjacent, mutually entailed tasks (e.g., D<E and B>A) and nonadjacent one-step (A<C, B<D, C<E, C>A, D>B and E>C) and two-step (A<D, B<E, D>A and E>B) combinatorial entailed tasks. In terms of brain activation, the SDE was identified in the inferior frontal cortex, dorsolateral prefrontal cortex, and bilateral parietal cortex with a graded activation pattern from adjacent to one-step and two-step relations. We suggest that this captures the behavioural SDE of increased accuracy and decreased reaction time from adjacent to two-step relations. One-step relations involving endpoints A or E resulted in greater parietal activation compared to one-step relations without endpoints. Novel contrasts found enhanced activation in right parietal and prefrontal cortices during mutually entailed tasks only for participants who had learned all less-than relations. Increased parietal activation was found for one-step tasks that were inconsistent with prior training. Overall, the findings demonstrate a crucial role for parietal cortex during relational reasoning with a spatially ordered array.
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Iversen I, Ghanayim N, Kübler A, Neumann N, Birbaumer N, Kaiser J. Conditional associative learning examined in a paralyzed patient with amyotrophic lateral sclerosis using brain-computer interface technology. Behav Brain Funct 2008; 4:53. [PMID: 19025641 PMCID: PMC2599893 DOI: 10.1186/1744-9081-4-53] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/09/2008] [Accepted: 11/24/2008] [Indexed: 12/13/2022] Open
Abstract
Background Brain-computer interface methodology based on self-regulation of slow-cortical potentials (SCPs) of the EEG (electroencephalogram) was used to assess conditional associative learning in one severely paralyzed, late-stage ALS patient. After having been taught arbitrary stimulus relations, he was evaluated for formation of equivalence classes among the trained stimuli. Methods A monitor presented visual information in two targets. The method of teaching was matching to sample. Three types of stimuli were presented: signs (A), colored disks (B), and geometrical shapes (C). The sample was one type, and the choice was between two stimuli from another type. The patient used his SCP to steer a cursor to one of the targets. A smiley was presented as a reward when he hit the correct target. The patient was taught A-B and B-C (sample – comparison) matching with three stimuli of each type. Tests for stimulus equivalence involved the untaught B-A, C-B, A-C, and C-A relations. An additional test was discrimination between all three stimuli of one equivalence class presented together versus three unrelated stimuli. The patient also had sessions with identity matching using the same stimuli. Results The patient showed high accuracy, close to 100%, on identity matching and could therefore discriminate the stimuli and control the cursor correctly. Acquisition of A-B matching took 11 sessions (of 70 trials each) and had to be broken into simpler units before he could learn it. Acquisition of B-C matching took two sessions. The patient passed all equivalence class tests at 90% or higher. Conclusion The patient may have had a deficit in acquisition of the first conditional association of signs and colored disks. In contrast, the patient showed clear evidence that A-B and B-C training had resulted in formation of equivalence classes. The brain-computer interface technology combined with the matching to sample method is a useful way to assess various cognitive abilities of severely paralyzed patients, who are without reliable motor control.
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Affiliation(s)
- Ih Iversen
- Institute of Medical Psychology, Goethe-University, Frankfurt am Main, Germany.
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