The Time-Course of Numerical-Spatial Interactions Edward M. Hubbard1, Mariagrazia Ranzini1,2, Manuela Piazza1,3 and Stanislas Dehaene1,4 1.INSERM Unit 562, Gif-Sur-Yvette, France 2. Dipartimento di Psicologia, Università di Pavia, Italy 3. CIMeC, Università di Trento, Italy, 4. Collège de France, Paris, France
ERP Results
Introduction • Behavioral, neuroimaging and patient data suggests fundamental connections between numbers and space in the intraparietal sulcus (for recent reviews see refs. 1,2). • Our previous fMRI studies3,4 have demonstrated functional overlap between numerical and spatial processes in parietal and frontal cortex. • However, it is unclear if these effects are due to bottom-up or top-down processes; fMRI lacks the temporal resolution to explore this question. • Non-informative number cues can elicit shifts of attention5,6, with smaller numbers leading to facilitation for left sided targets, and larger numbers leading to facilitation for right sided targets. • To explore the time-course of numerical-spatial interactions, we measured ERPs in a standard cuing paradigm (non-informative arrows) and a number cuing paradigm (noninformative digits). • Overlap between numerical and spatial processes should be reflected in similar ERPs.
Arrows
Scalp Topography Numbers
Methods • We explored the event-related components related to shifts of attention due to noninformative arrow and number cues. • We tested 20 subjects, but rejected 5 due to excessive blinks, movement and/or equipment malfunction. • Task: detection of a left or right sided dot with dominant hand. • Cues: left/right arrows; small/large numbers (two numerical magnitudes: 1,2 / 8,9) • Delay: 300/400/500 ms • Number of trials: 396 (1/3 arrows and 2/3 numbers, 66 trials for each arrow, 132 for each numerical condition) and 10% catch trials. • EEG collected with 256 channel EGI system. • Lowpass filtered at 30 Hz, standard eye-blink and artifact detection.
Arrows vs. Numbers Interactions Between Numerical Magnitude and Hemisphere
Attention-Related ERP Components
Conclusions
attention7-9
Previous ERP studies of have identified several components related to shifts of attention. Here, we investigated two main components: • EDAN (early directing attention negativity): at about 200-400ms after cue onset from posterior sites over hemisphere contralateral to the direction indicated by the cue. • ADAN (anterior directing attention negativity): at 300-500ms after the cue onset from anterior sites over the hemisphere contralateral to the cue direction.
Numerical Magnitude Effects Behavioral Results Arrows
F(1,14) = 1.183, p = 0.295
Numbers
F(1,14) = 3.852, p = 0.070
• The EDAN and ADAN components are present even for non-informative arrow cues, suggesting that such cues are automatically processed (see also ref. 10). • Similar, although weaker and slightly delayed, effects for numbers demonstrate that numerical-spatial interactions elicit the same ERP components as shifts of attention (see also ref. 11). • These results further suggest that numbers are automatically treated as lying on a left-toright oriented number line (see refs 1,2). • The scalp distributions suggest that arrows may elicit shifts of attention in a more direct, bottom-up fashion than do numbers, which require an intermediate step of translating from numerical magnitude to space (see also refs. 12,13). • In combination with previous fMRI evidence, we suggest that these effects are mediated by parietal and frontal regions involved in shifts of attention, including hLIP and hFEF.
References 1. Hubbard, E.M., Piazza, M. Pinel, P. and Dehaene, S. (2005). Interactions between numbers and space in parietal cortex. Nature Reviews Neuroscience, 6(6): 435-448. 2. Fias, W. & Fischer, M. H. (2005) Spatial representation of numbers. in The Handbook of Mathematical Cognition (ed Campbell, J. I. D.) 43-54. Psychology Press: New York. 3. Hubbard, E. M., Pinel, P., Jobert, A., Le Bihan, D., & Dehaene, S. (submitted). The place for the SNARC: Interactions between numerical and spatial representations in parietal cortex Journal of Cognitive Neuroscience. 4. Hubbard, E. M., Pinel, P., Jobert, A., Le Bihan, D., & Dehaene, S. (submitted). Anatomical and functional relationships between mental calculation, multisensory processing and eye-movements in the human brain. Journal of Neuroscience. 5. Fischer, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555-556. 6. Casarotti, M., Michielin, M., Zorzi, M., & Umilta, C. (2007). Temporal order judgment reveals how number magnitude affects visuospatial attention. Cognition, 102(1), 101117. 7. Talsma, D., Slagter, H. A., Nieuwenhuis, S., Hage, J., & Kok, A. (2005). The orienting of visuospatial attention: an event-related brain potential study. Cognitive Brain Research, 25(1), 117-129. 8. Eimer, M., & van Velzen, J. (2006). Covert manual response preparation triggers attentional modulations of visual but not auditory processing. Clinical Neurophysiology, 117(5), 1063-1074. 9. Van der Stigchel, S., Heslenfeld, D. J., & Theeuwes, J. (2006). An ERP study of preparatory and inhibitory mechanisms in a cued saccade task. Brain Research, 1105(1), 32-45. 10. Ristic, J., & Kingstone, A. (2006). Attention to arrows: pointing to a new direction. Quarterly Journal of Experimental Psychology, 59(11), 1921-1930. 11. Salillas, E., El Yagoubi, R., & Semenza, C. (in press). Sensory and cognitive processes of shifts of spatial attention induced by numbers: An ERP study. Cortex. 12. Gevers, W., Ratinckx, E., De Baene, W., & Fias, W. (2006). Further evidence that the SNARC effect is processed along a dual-route architecture: Evidence from the Lateralized Readiness Potential. Experimental Psychology, 53(1), 58-68. 13. Rusconi, E., Umilta, C., & Galfano, G. (2006). Breaking ranks: space and number may march to the beat of a different drum. Cortex, 42(8), 1124-1127.