Impairments of the mental number line for two-digit numbers in neglect

Humans represent numbers along a left-to-right oriented Mental Number Line (MNL). Neglect patients seem to neglect the left part of the MNL, namely the smaller numbers within a given numerical interval. However, until now all studies examining numerical representation have focussed on single-digit numbers or two-digit numbers smaller than 50. In this study, the full range of two-digit numbers was assessed in neglect patients and two control groups. Participants were presented with number triplets (e.g., 10_13_18) and asked whether or not the central number is also the arithmetical middle of the interval. The factors manipulated were decade crossing (e.g., 22_25_28 vs 25_28_31), distance to the arithmetical middle (e.g., 18_19_32 vs 18_24_32), and, most importantly, whether the central number was smaller or larger than the arithmetical middle (e.g., 11_12_19 vs 11_18_19). Neglect patients differed from controls in that they benefited less when the middle number was smaller than the arithmetical middle of the interval. Neglect patients thus seem to have particular problems when accessing the left side of numerical intervals, also when adjusted to two-digit numbers. Such an impaired magnitude representation in neglect seems to have detrimental effects on two-digit number processing as the helpful spatial metric of magnitude cannot be properly activated.

[1]  Wim Fias,et al.  The addition of two-digit numbers: exploring carry versus no-carry problems , 2005 .

[2]  F. Giorgi,et al.  Lost in number space after right brain damage: A neural signature of representational neglect , 2008, Cortex.

[3]  D W Massaro,et al.  Retroactive interference in short-term recognition memory for pitch. , 1970, Journal of experimental psychology.

[4]  Klaus Willmes,et al.  On the Magnitude Representations of Two-Digit Numbers , 2005 .

[5]  Georg Kerkhoff,et al.  Spatial hemineglect in humans , 2001, Progress in Neurobiology.

[6]  K. Willmes,et al.  The Power of the Mental Number Line: How the Magnitude of Unattended Numbers Affects Performance in an Eriksen Task , 2005 .

[7]  Klaus Willmes,et al.  On The Impact of Different Number Representations in the Number Bisection Task , 2002, Cortex.

[8]  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.

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

[10]  D. Boisson,et al.  Does Action Make the Link Between Number and Space Representation? , 2004, Psychological science.

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

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

[13]  Ian H. Robertson,et al.  Spatial Neglect: A Clinical Handbook for Diagnosis and Treatment , 1999 .

[14]  Avishai Henik,et al.  Basic numerical processing in left intraparietal sulcus (IPS) acalculia , 2008, Cortex.

[15]  Guilherme Wood,et al.  Neural representations of two-digit numbers: A parametric fMRI study , 2006, NeuroImage.

[16]  E. Bisiach,et al.  Unilateral Neglect of Representational Space , 1978, Cortex.

[17]  Silke M. Göbel,et al.  Parietal rTMS distorts the mental number line: Simulating ‘spatial’ neglect in healthy subjects , 2006, Neuropsychologia.

[18]  M. Zaudig,et al.  SIDAM - Handbuch, strukturiertes Interview für die Diagnose einer Demenz vom Alzheimer-Typ, der Multiinfarkt-(oder vaskulären) Demenz und Demenzen anderer Ätiologie nach DSM III R, DSM IV and ICD 10 , 1995 .

[19]  E. Donnemiller,et al.  Number processing in posterior cortical atrophy—A neuropsycholgical case study , 2006, Neuropsychologia.

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

[21]  Marcel Brass,et al.  Selection for Cognitive Control: A Functional Magnetic Resonance Imaging Study on the Selection of Task-Relevant Information , 2004, The Journal of Neuroscience.

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

[23]  Wim Fias,et al.  Numbers and space: a computational model of the SNARC effect. , 2006, Journal of experimental psychology. Human perception and performance.

[24]  Guilherme Wood,et al.  All for one but not one for all: How multiple number representations are recruited in one numerical task , 2008, Brain Research.

[25]  F. Restle Speed of Adding and Comparing Numbers. , 1970 .

[26]  M. Delazer,et al.  Learning complex arithmetic--an fMRI study. , 2003, Brain research. Cognitive brain research.

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

[28]  S. Holm A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[29]  John C. Marshall,et al.  When Right Goes Left: An Investigation of Line Bisection in a Case of Visual Neglect , 1989, Cortex.

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