Dissociations and interactions between time, numerosity and space processing

This study investigated time, numerosity and space processing in a patient (CB) with a right hemisphere lesion. We tested whether these magnitude dimensions share a common magnitude system or whether they are processed by dimension-specific magnitude systems. Five experimental tasks were used: Tasks 1–3 assessed time and numerosity independently and time and numerosity jointly. Tasks 4 and 5 investigated space processing independently and space and numbers jointly. Patient CB was impaired at estimating time and at discriminating between temporal intervals, his errors being underestimations. In contrast, his ability to process numbers and space was normal. A unidirectional interaction between numbers and time was found in both the patient and the control subjects. Strikingly, small numbers were perceived as lasting shorter and large numbers as lasting longer. In contrast, number processing was not affected by time, i.e. short durations did not result in perceiving fewer numbers and long durations in perceiving more numbers. Numbers and space also interacted, with small numbers answered faster when presented on the left side of space, and the reverse for large numbers. Our results demonstrate that time processing can be selectively impaired. This suggests that mechanisms specific for time processing may be partially independent from those involved in processing numbers and space. However, the interaction between numbers and time and between numbers and space also suggests that although independent, there maybe some overlap between time, numbers and space. These data suggest a partly shared mechanism between time, numbers and space which may be involved in magnitude processing or may be recruited to perform cognitive operations on magnitude dimensions.

[1]  J. Driver,et al.  Perceptual awareness and its loss in unilateral neglect and extinction , 2001, Cognition.

[2]  Ravi S. Menon,et al.  Motor Area Activity During Mental Rotation Studied by Time-Resolved Single-Trial fMRI , 2000, Journal of Cognitive Neuroscience.

[3]  Roi Cohen Kadosh,et al.  Are numbers special? An overview of chronometric, neuroimaging, developmental and comparative studies of magnitude representation , 2008, Progress in Neurobiology.

[4]  F A Wichmann,et al.  Ning for Helpful Comments and Suggestions. This Paper Benefited Con- Siderably from Conscientious Peer Review, and We Thank Our Reviewers the Psychometric Function: I. Fitting, Sampling, and Goodness of Fit , 2001 .

[5]  M. Ho,et al.  Interval timing performance in temporal lobe epilepsy: differences between patients with left and right hemisphere foci , 1999, Neuropsychologia.

[6]  L. Boroditsky,et al.  Time in the mind: Using space to think about time , 2008, Cognition.

[7]  J. J. Harton The influence of the difficulty of activity on the estimation of time. II. , 1938 .

[8]  Yves Rossetti,et al.  Interference between number processing and line bisection: a methodology , 2005, Neuropsychologia.

[9]  Marinella Cappelletti,et al.  The Role of Right and Left Parietal Lobes in the Conceptual Processing of Numbers , 2009, Journal of Cognitive Neuroscience.

[10]  S. Dehaene,et al.  Interactions between number and space in parietal cortex , 2005, Nature Reviews Neuroscience.

[11]  Marco Zorzi,et al.  Visuospatial priming of the mental number line , 2008, Cognition.

[12]  Avishai Henik,et al.  The Brain Locus of Interaction between Number and Size: A Combined Functional Magnetic Resonance Imaging and Event-related Potential Study , 2007, Journal of Cognitive Neuroscience.

[13]  Russell M. Church,et al.  Control of an internal clock. , 1978 .

[14]  Stanislas Dehaene,et al.  Cerebral Pathways for Calculation: Double Dissociation between Rote Verbal and Quantitative Knowledge of Arithmetic , 1997, Cortex.

[15]  A. Cowey,et al.  Left visuo-spatial neglect can be worse in far than in near space , 1994, Neuropsychologia.

[16]  Antonino Vallesi,et al.  An effect of spatial–temporal association of response codes: Understanding the cognitive representations of time , 2008, Cognition.

[17]  Silke M. Göbel,et al.  Hemispheric asymmetry and the mental number line: comparison of double-digit numbers , 2004, Neuropsychologia.

[18]  Roland R. Lee,et al.  Does the representation of time depend on the cerebellum? Effect of cerebellar stroke. , 2003, Brain : a journal of neurology.

[19]  G. Denes,et al.  A specific deficit for numbers in a case of dense acalculia. , 1991, Brain : a journal of neurology.

[20]  Françoise Macar,et al.  Time, action, and cognition : towards bridging the gap , 1992 .

[21]  Karl J. Friston,et al.  Degeneracy and cognitive anatomy , 2002, Trends in Cognitive Sciences.

[22]  M. Thioux,et al.  Neuroanatomical Substrates of Arabic Number Processing, Numerical Comparison, and Simple Addition: A PET Study , 2000, Journal of Cognitive Neuroscience.

[23]  Stefan Golaszewski,et al.  Neural correlates of distance and congruity effects in a numerical Stroop task: an event-related fMRI study , 2005, NeuroImage.

[24]  Stanislas Dehaene,et al.  Primed numbers : Exploring the modularity of numerical representations with masked and unmasked semantic priming , 1999 .

[25]  C. Caltagirone,et al.  Perceiving numbers alters time perception , 2008, Neuroscience Letters.

[26]  H. Lejeune,et al.  Adult Timing After Preweaning Shifts of Zeitgeber in Rats: Crossed Sensitization to Time? , 1997, Physiology & Behavior.

[27]  P. Garthwaite,et al.  Evaluation of criteria for classical dissociations in single-case studies by Monte Carlo simulation. , 2005, Neuropsychology.

[28]  Vincent Walsh A theory of magnitude: common cortical metrics of time, space and quantity , 2003, Trends in Cognitive Sciences.

[29]  Françoise Macar,et al.  Dividing Attention between Temporal and Nontemporal Tasks: A Performance Operating Characteristic -POC- Analysis , 1992 .

[30]  M. Corbetta,et al.  Control of goal-directed and stimulus-driven attention in the brain , 2002, Nature Reviews Neuroscience.

[31]  Stephen M. Rao,et al.  The evolution of brain activation during temporal processing , 2001, Nature Neuroscience.

[32]  Timing ability and numerical competence in rats. , 1998, Journal of experimental psychology. Animal behavior processes.

[33]  Carson Pun,et al.  Neglected Time: Impaired Temporal Perception of Multisecond Intervals in Unilateral Neglect , 2007, Journal of Cognitive Neuroscience.

[34]  Marco Zorzi,et al.  A Computational Model of Number Comparison , 2020, Proceedings of the Twenty First Annual Conference of the Cognitive Science Society.

[35]  A. Ferrandez,et al.  ERPs and PET analysis of time perception: Spatial and temporal brain mapping during visual discrimination tasks , 2000, Human brain mapping.

[36]  J R Crawford,et al.  Payne and Jones revisited: estimating the abnormality of test score differences using a modified paired samples t test. , 1998, Journal of clinical and experimental neuropsychology.

[37]  D. Zakay Time Estimation Methods—Do They Influence Prospective Duration Estimates? , 1993, Perception.

[38]  C. Genovese,et al.  Spatial Updating in Human Parietal Cortex , 2003, Neuron.

[39]  W. Meck,et al.  Dissecting the Brain's Internal Clock: How Frontal–Striatal Circuitry Keeps Time and Shifts Attention , 2002, Brain and Cognition.

[40]  W. Meck Neuropsychology of timing and time perception , 2005, Brain and Cognition.

[41]  Michael D. Dodd,et al.  Perceiving numbers causes spatial shifts of attention , 2003, Nature Neuroscience.

[42]  R. Shalev,et al.  Developmental Dyscalculia , 2004, Journal of child neurology.

[43]  Denis Cousineau,et al.  Confidence intervals in within-subject designs: A simpler solution to Loftus and Masson's method , 2005 .

[44]  A. Friederici,et al.  Time Perception and Motor Timing: A Common Cortical and Subcortical Basis Revealed by fMRI , 2000, NeuroImage.

[45]  G. Orban,et al.  Parietal Representation of Symbolic and Nonsymbolic Magnitude , 2003, Journal of Cognitive Neuroscience.

[46]  M. Pesenti,et al.  Numerosity-duration interference: a Stroop experiment. , 2006, Acta psychologica.

[47]  Paul H. Garthwaite,et al.  Wanted: Fully Operational Definitions of Dissociations in Single-Case Studies , 2003, Cortex.

[48]  L. Rapport,et al.  Validation of the Warrington theory of visual processing and the Visual Object and Space Perception Battery. , 1998, Journal of clinical and experimental neuropsychology.

[49]  P. Garthwaite,et al.  Investigation of the single case in neuropsychology: confidence limits on the abnormality of test scores and test score differences , 2002, Neuropsychologia.

[50]  N. Kanwisher,et al.  The Generality of Parietal Involvement in Visual Attention , 1999, Neuron.

[51]  R. Church,et al.  A mode control model of counting and timing processes. , 1983, Journal of experimental psychology. Animal behavior processes.

[52]  K. Priftis,et al.  Brain damage: Neglect disrupts the mental number line , 2002, Nature.

[53]  J. Marshall,et al.  Left neglect for near but not far space in man , 1991, Nature.

[54]  Lisa Cipolotti,et al.  Disturbances of number processing and calculation , 2001 .

[55]  Jordan Grafman,et al.  Handbook of Neuropsychology , 1991 .

[56]  William Burnside,et al.  Judgment of short time intervals while performing mathematical tasks , 1971 .

[57]  J. Requin Attention and Performance VII , 1980 .

[58]  K. Meador,et al.  Time perception following unilateral amobarbital injection in patients with temporal lobe epilepsy. , 1999, Journal of Clinical and Experimental Neuropsychology.

[59]  Paola Guariglia,et al.  Spatial Orienting Biases in the Decimal Numeral System , 2009, Current Biology.

[60]  E. J. Capaldi,et al.  The Development of numerical competence : animal and human models , 1993 .

[61]  Susan Carey,et al.  Objects are individuals but stuff doesn't count: perceived rigidity and cohesiveness influence infants' representations of small groups of discrete entities , 2002, Cognition.

[62]  Vincent Walsh,et al.  The right parietal cortex and time perception: back to Critchley and the Zeitraffer phenomenon , 2005, Cognitive neuropsychology.

[63]  Stanislas Dehaene,et al.  Approximate quantities and exact number words: dissociable systems , 2003, Neuropsychologia.

[64]  Robert H. Logie,et al.  Cognitive processes in counting. , 1987 .

[65]  S. Dehaene,et al.  The mental representation of parity and number magnitude. , 1993 .

[66]  J. Mazziotta,et al.  Brain Activation Induced by Estimation of Duration: A PET Study , 1996, NeuroImage.

[67]  Scott W. Brown Attentional resources in timing: Interference effects in concurrent temporal and nontemporal working memory tasks , 1997, Perception & psychophysics.

[68]  Michael Andres,et al.  Dissociation of numerosity and duration processing in the left intraparietal sulcus: A transcranial magnetic stimulation study , 2008, Cortex.

[69]  G. Hawkes,et al.  Vigilance Effects for Duration Judgments with Two Levels of Task Demand , 1972, Perceptual and motor skills.

[70]  Masami Ishihara,et al.  Horizontal spatial representations of time: Evidence for the STEARC effect , 2008, Cortex.

[71]  T. Vilis,et al.  Gaze-Centered Updating of Visual Space in Human Parietal Cortex , 2003, The Journal of Neuroscience.

[72]  Paola Guariglia,et al.  Dissociation between physical and mental number line bisection in right hemisphere brain damage , 2005, Nature Neuroscience.

[73]  F. Macar,et al.  Controlled attention sharing influences time estimation , 1994, Memory & cognition.

[74]  S. Coren,et al.  In Sensation and perception , 1979 .

[75]  Sara Torriero,et al.  Underestimation of time perception after repetitive transcranial magnetic stimulation , 2003, Neurology.

[76]  M. Cappelletti,et al.  Unconscious processing of Arabic numerals in unilateral neglect , 2006, Neuropsychologia.

[77]  Elizabeth K. Warrington,et al.  Arithmetic Skills in Patients with Unilateral Cerebral Lesions , 1986, Cortex.

[78]  S Dehaene,et al.  Attention, automaticity, and levels of representation in number processing. , 1995, Journal of experimental psychology. Learning, memory, and cognition.

[79]  I. Nimmo-Smith,et al.  The structure of normal human attention: The Test of Everyday Attention , 1996, Journal of the International Neuropsychological Society.

[80]  R. Ivry,et al.  The neural representation of time , 2004, Current Opinion in Neurobiology.

[81]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.

[82]  Brian Butterworth,et al.  Discrete and analogue quantity processing in the parietal lobe: a functional MRI study. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[83]  F. Macar,et al.  Effects of attention manipulation on judgments of duration and of intensity in the visual modality , 1997, Memory & cognition.

[84]  Sheng He,et al.  Larger stimuli are judged to last longer. , 2007, Journal of vision.

[85]  N. Kanwisher,et al.  Neuroimaging of cognitive functions in human parietal cortex , 2001, Current Opinion in Neurobiology.

[86]  R. Ivry The representation of temporal information in perception and motor control , 1996, Current Opinion in Neurobiology.

[87]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[88]  Marco Zorzi,et al.  Modulation of hemispatial neglect by directional and numerical cues in the line bisection task , 2008, Neuropsychologia.

[89]  Eliot Hazeltine,et al.  Dissociable Contributions of Prefrontal and Parietal Cortices to Response Selection , 2002, NeuroImage.

[90]  Avishai Henik,et al.  Automatic and intentional processing of numerical information , 1992 .

[91]  W. Meck,et al.  Cortico-striatal circuits and interval timing: coincidence detection of oscillatory processes. , 2004, Brain research. Cognitive brain research.

[92]  A. J. Delong,et al.  Phenomenological space-time: toward an experiential relativity. , 1981, Science.

[93]  C. Gallistel,et al.  Mathematical Cognition , 2005 .

[94]  K. Wynn,et al.  Large-Number Addition and Subtraction by 9-Month-Old Infants , 2004, Psychological science.

[95]  Marinella Cappelletti,et al.  The middle house or the middle floor: Bisecting horizontal and vertical mental number lines in neglect , 2007, Neuropsychologia.

[96]  H. Gulliksen,et al.  The influence of occupation upon the perception of time. , 1927 .

[97]  Jamie I. D. Campbell Handbook of mathematical cognition , 2004 .

[98]  P. Nichelli,et al.  Time perception in a neglected space , 1996, Neuroreport.

[99]  Sylvie Droit-Volet,et al.  Alerting attention and time perception in children. , 2003, Journal of experimental child psychology.

[100]  W. Meck,et al.  Neuropsychological mechanisms of interval timing behavior. , 2000, BioEssays : news and reviews in molecular, cellular and developmental biology.

[101]  Thomas H Rammsayer,et al.  Current-source density analysis of slow brain potentials during time estimation. , 2004, Psychophysiology.

[102]  Giuseppe Vallar,et al.  Numbers and space: a cognitive illusion? , 2005, Experimental Brain Research.

[103]  R. Desimone,et al.  Crowding: Including illusory conjunctions, surround suppression, and attention. , 2007, Journal of vision.

[104]  Philippe Pinel,et al.  Distributed and Overlapping Cerebral Representations of Number, Size, and Luminance during Comparative Judgments , 2004, Neuron.

[105]  W. Richards,et al.  Time reproductions by H.M. , 1973, Acta psychologica.