The Role of Right and Left Parietal Lobes in the Conceptual Processing of Numbers

Neuropsychological and functional imaging studies have associated the conceptual processing of numbers with bilateral parietal regions (including intraparietal sulcus). However, the processes driving these effects remain unclear because both left and right posterior parietal regions are activated by many other conceptual, perceptual, attention, and response-selection processes. To dissociate parietal activation that is number-selective from parietal activation related to other stimulus or response-selection processes, we used fMRI to compare numbers and object names during exactly the same conceptual and perceptual tasks while factoring out activations correlating with response times. We found that right parietal activation was higher for conceptual decisions on numbers relative to the same tasks on object names, even when response time effects were fully factored out. In contrast, left parietal activation for numbers was equally involved in conceptual processing of object names. We suggest that left parietal activation for numbers reflects a range of processes, including the retrieval of learnt facts that are also involved in conceptual decisions on object names. In contrast, number selectivity in right parietal cortex reflects processes that are more involved in conceptual decisions on numbers than object names. Our results generate a new set of hypotheses that have implications for the design of future behavioral and functional imaging studies of patients with left and right parietal damage.

[1]  Avishai Henik,et al.  Notation-Dependent and -Independent Representations of Numbers in the Parietal Lobes , 2007, Neuron.

[2]  S. Dehaene,et al.  Understanding dissociations in dyscalculia: a brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. , 2000, Brain : a journal of neurology.

[3]  Stanislas Dehaene,et al.  Two mental calculation systems: A case study of severe acalculia with preserved approximation , 1991, Neuropsychologia.

[4]  Manuel Carreiras,et al.  Where syntax meets math: Right intraparietal sulcus activation in response to grammatical number agreement violations , 2010, NeuroImage.

[5]  Stefan Heim,et al.  Are numbers special? Comparing the generation of verbal materials from ordered categories (months) to numbers and other categories (animals) in an fMRI study , 2008, Human brain mapping.

[6]  Stanislas Dehaene,et al.  Cerebral activations during number multiplication and comparison: a PET study , 1996, Neuropsychologia.

[7]  Glyn W. Humphreys,et al.  Separating distractor rejection and target detection in posterior parietal cortex—an event-related fMRI study of visual marking , 2003, NeuroImage.

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

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

[10]  A. Kleinschmidt,et al.  A Supramodal Number Representation in Human Intraparietal Cortex , 2003, Neuron.

[11]  Thad A. Polk,et al.  A Dissociation between Symbolic Number Knowledge and Analogue Magnitude Information , 2001, Brain and Cognition.

[12]  S. Dehaene,et al.  A Magnitude Code Common to Numerosities and Number Symbols in Human Intraparietal Cortex , 2007, Neuron.

[13]  Nicolas Costes,et al.  Task-independent semantic activation for numbers and animals. , 2005, Brain research. Cognitive brain research.

[14]  E. J. Carter,et al.  Functional Imaging of Numerical Processing in Adults and 4-y-Old Children , 2006, PLoS biology.

[15]  Soon Chun Siong,et al.  Parametric effects of numerical distance on the intraparietal sulcus during passive viewing of rapid numerosity changes , 2006, Brain Research.

[16]  Karl J. Friston,et al.  Stochastic Designs in Event-Related fMRI , 1999, NeuroImage.

[17]  E. Spelke,et al.  Sources of mathematical thinking: behavioral and brain-imaging evidence. , 1999, Science.

[18]  Marco Zorzi,et al.  The spatial representation of numerical and non-numerical sequences: Evidence from neglect , 2006, Neuropsychologia.

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

[20]  Michael Andres,et al.  Hemispheric lateralization of number comparison. , 2005, Brain research. Cognitive brain research.

[21]  Wim Fias,et al.  The mental representation of ordinal sequences is spatially organized , 2003, Cognition.

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

[23]  Marinella Cappelletti,et al.  rTMS over the intraparietal sulcus disrupts numerosity processing , 2007, Experimental Brain Research.

[24]  Stanislas Dehaene,et al.  Distinct Cerebral Pathways for Object Identity and Number in Human Infants , 2008, PLoS biology.

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

[26]  Avishai Henik,et al.  When brightness counts: the neuronal correlate of numerical-luminance interference. , 2008, Cerebral cortex.

[27]  S. Dehaene,et al.  Differential Contributions of the Left and Right Inferior Parietal Lobules to Number Processing , 1999, Journal of Cognitive Neuroscience.

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

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

[30]  Wim Fias,et al.  Distinct representations of numerical and non-numerical order in the human intraparietal sulcus revealed by multivariate pattern recognition , 2011, NeuroImage.

[31]  A. Nieder Counting on neurons: the neurobiology of numerical competence , 2005, Nature Reviews Neuroscience.

[32]  Timothy Edward John Behrens,et al.  Response-Selection-Related Parietal Activation during Number Comparison , 2004, Journal of Cognitive Neuroscience.

[33]  Daniel Ansari,et al.  Developmental Specialization in the Right Intraparietal Sulcus for the Abstract Representation of Numerical Magnitude , 2010, Journal of Cognitive Neuroscience.

[34]  Philippe Pinel,et al.  Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus , 2004, Neuron.

[35]  Patrik Vuilleumier,et al.  The Number Space and Neglect , 2004, Cortex.

[36]  A. Iriki,et al.  Triadic (ecological, neural, cognitive) niche construction: a scenario of human brain evolution extrapolating tool use and language from the control of reaching actions , 2012, Philosophical Transactions of the Royal Society B: Biological Sciences.

[37]  S. Dehaene,et al.  Functional and Structural Alterations of the Intraparietal Sulcus in a Developmental Dyscalculia of Genetic Origin , 2003, Neuron.

[38]  D. LeBihan,et al.  Modulation of Parietal Activation by Semantic Distance in a Number Comparison Task , 2001, NeuroImage.

[39]  M. Delazer,et al.  Arithmetic Facts without Meaning , 1997, Cortex.

[40]  Karl J. Friston Neuronal transients , 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[41]  Raymond J. Dolan,et al.  Imaging Informational Conflict: A Functional Magnetic Resonance Imaging Study of Numerical Stroop , 2006, Journal of Cognitive Neuroscience.

[42]  Marco Zorzi,et al.  Explicit versus Implicit Processing of Representational Space in Neglect: Dissociations in Accessing the Mental Number Line , 2006, Journal of Cognitive Neuroscience.

[43]  Edgardo O. Alvarez,et al.  Functional lateralization of the baso-lateral amygdala neural circuits modulating the motivated exploratory behaviour in rats: Role of histamine , 2011, Behavioural Brain Research.

[44]  Vincent Walsh,et al.  Distinct neural substrates for visual search amongst spatial versus temporal distractors. , 2003, Brain research. Cognitive brain research.

[45]  Michael von Aster,et al.  Optimized voxel-based morphometry in children with developmental dyscalculia , 2008, NeuroImage.

[46]  Gavin R. Price,et al.  Impaired parietal magnitude processing in developmental dyscalculia , 2007, Current Biology.

[47]  K. Grill-Spector,et al.  Repetition and the brain: neural models of stimulus-specific effects , 2006, Trends in Cognitive Sciences.

[48]  K. Kucian,et al.  Impaired neural networks for approximate calculation in dyscalculic children: a functional MRI study , 2006, Behavioral and Brain Functions.

[49]  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.

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

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

[52]  N. Kanwisher,et al.  Numerical Magnitude in the Human Parietal Lobe Tests of Representational Generality and Domain Specificity , 2004, Neuron.

[53]  S. Dehaene,et al.  Topographical Layout of Hand, Eye, Calculation, and Language-Related Areas in the Human Parietal Lobe , 2002, Neuron.

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

[55]  Neil G. Muggleton,et al.  Quantity without numbers and numbers without quantity in the parietal cortex , 2009, NeuroImage.

[56]  D. Le Bihan,et al.  Distinct Cortical Areas for Names of Numbers and Body Parts Independent of Language and Input Modality , 2000, NeuroImage.

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

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

[59]  Nicolas Delcroix,et al.  Functional magnetic resonance imaging study of Piaget's conservation-of-number task in preschool and school-age children: a neo-Piagetian approach. , 2011, Journal of experimental child psychology.

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

[61]  S. Dehaene,et al.  The priming method: imaging unconscious repetition priming reveals an abstract representation of number in the parietal lobes. , 2001, Cerebral cortex.

[62]  Avishai Henik,et al.  Meta-Analyses of Developmental fMRI Studies Investigating Typical and Atypical Trajectories of Number Processing and Calculation , 2011, Developmental neuropsychology.

[63]  Marinella Cappelletti,et al.  A case of selective impairment of encyclopaedic numerical knowledge or ‘when December 25th is no longer Christmas day, but ‘20+5’ is still 25’ , 2008, Cortex.