Abstract
The representation of magnitude information enables humans and animal species alike to successfully interact with the external environment. However, how various types of magnitudes are processed by single neurons to guide goal-directed behavior remains elusive. Here, we recorded single-cell activity from the dorsolateral prefrontal (PFC), dorsal premotor (PMd) and cingulate motor (CMA) cortices in monkeys discriminating discrete numerical (numerosity), continuous spatial (line length) and basic sensory (spatial frequency) stimuli. We found that almost exclusively PFC neurons represented the different magnitude types during sample presentation and working memory periods. The frequency of magnitude-selective cells in PMd and CMA did not exceed chance level. The proportion of PFC neurons selectively tuned to each of the three magnitude types were comparable. Magnitude coding was mainly dissociated at the single-neuron level, with individual neurons representing only one of the three tested magnitude types. Neuronal magnitude discriminability, coding strength and temporal evolution were comparable between magnitude types encoded by PFC neuron populations. Our data highlight the importance of PFC neurons in representing various magnitude categories. Such magnitude representations are based on largely distributed coding by single neurons that are anatomically intermingled within the same cortical area.
Similar content being viewed by others
References
Asaad WF, Rainer G, Miller EK (2000) Task-specific neural activity in the primate prefrontal cortex. J Neurophysiol 84:451–459
Badre D, D’Esposito M (2009) Is the rostro-caudal axis of the frontal lobe hierarchical? Nat Rev Neurosci 10:659–669
Barbas H (1988) Anatomic organization of basoventral and mediodorsal visual recipient prefrontal regions in the rhesus monkey. J Comp Neurol 276:313–342
Barbas H, Pandya DN (1987) Architecture and frontal cortical connections of the premotor cortex (area 6) in the rhesus monkey. J Comp Neurol 256:211–288
Barbas H, Pandya DN (1989) Architecture and intrinsic connections of the prefrontal cortex in the rhesus monkey. J Comp Neurol 286:353–375
Bates JF, Goldman-Rakic PS (1993) Prefrontal connections of medial motor areas in the rhesus monkey. J Comp Neurol 336:211–288
Bongard S, Nieder A (2010) Basic mathematical rules are encoded by primate prefrontal cortex neurons. Proc Natl Acad Sci USA 107:2277–2282
Cappelletti M, Freeman ED, Cipolotti L (2009) Dissociations and interactions between time, numerosity and space processing. Neuropsychologia 47:2732–2748
Casasanto D, Fotakopoulou O, Boroditsky L (2010) Space and time in the child’s mind: evidence for a cross-dimensional asymmetry. Cogn Sci 34:387–405
Castelli F, Glaser DE, Butterworth B (2006) Discrete and analogue quantity processing in the parietal lobe: a functional MRI study. Proc Natl Acad Sci USA 103:4693–4698
Chafee MV, Goldman-Rakic PS (2000) Inactivation of parietal and prefrontal cortex reveals interdependence of neural activity during memory-guided saccades. J Neurophysiol 83:1550–1566
Constantinidis C, Franowics MN, Goldman-Rakic PS (2001) The sensory nature of mnemonic representation in the primate prefrontal cortex. Nat Neurosci 4:311–316
de Hevia MD, Girelli L, Bricolo E, Vallar G (2008) The representational space of numerical magnitude: illusions of length. Q J Exp Psychol 61:1496–1514
De Valois RL, Albrecht DG, Thorell LG (1982) Spatial frequency selectivity of cells in macaque visual cortex. Vis Res 22:545–559
Dehaene S, Changeux JP (1993) Development of elementary numerical abilities: a neuronal model. J Cogn Neurosci 5:390–407
Dehaene S, Spelke E, Stanescu R, Pinel P, Tsivkin S (1999) Sources of mathematical thinking: behavioral and brain-imaging evidence. Science 284:970–974
di Pelligrino G, Wise SP (1991) A neurophysiological comparison of three distinct regions of the primate frontal lobe. Brain 114:951–978
Diester I, Nieder A (2008) Complementary contributions of prefrontal neuron classes in abstract numerical categorization. J Neurosci 28:7737–7747
Ditz HM, Nieder A (2015) Neurons selective to the number of visual items in the corvid songbird endbrain. Proc Natl Acad Sci USA 112:7827–7832
Dormal V, Pesenti M (2007) Numerosity-length interference: a Stroop experiment. Exp Psychol 54:289–297
Dormal V, Pesenti M (2009) Common and specific contributions of the intraparietal sulci to numerosity and length processing. Hum Brain Mapp 30:2466–2476
Eger E, Sterzer P, Russ MO, Giraud AL, Kleinschmidt A (2003) A supramodal number representation in human intraparietal cortex. Neuron 37:719–725
Eiselt AK, Nieder A (2013) Representation of abstract quantitative rules applied to spatial and numerical magnitudes in primate prefrontal cortex. J Neurosci 33:7526–7534
Eiselt AK, Nieder A (2014) Rule-activity related to spatial and numerical magnitudes: comparison of prefrontal, premotor and cingulate motor cortices. J Cogn Neurosci 26:1000–1012
Genovesio A, Brasted PJ, Mitz AR, Wise SP (2005) Prefrontal cortex activity related to abstract response strategies. Neuron 47:307–320
Genovesio A, Tsujimoto S, Wise SP (2009) Feature- and order-based timing representations in the frontal cortex. Neuron 63:254–266
Genovesio A, Tsujimoto S, Wise SP (2011) Prefrontal cortex activity during the discrimination of relative distance. J Neurosci 31:3968–3980
Green DM, Swets JA (1966) Signal detection theory and psychophysics. Wiley, New York
Hayashi MJ, Kanai R, Tanabe HC, Yoshida Y, Carlson S, Walsh V, Sadato N (2013) Interaction of numerosity and time in prefrontal and parietal cortex. J Neurosci 33:883–893
Henik A, Tzelgov H (1982) Is three greater than five: the relation between physical and semantic size in comparison tasks. Mem Cognit 10:389–395
Hernadi I, Grabenhorst F, Schultz W (2015) Planning activity for internally generated reward goals in monkey amygdala neurons. Nat Neurosci 18:461–469
Hernandez A, Nacher V, Luna R, Zainos A, Lemus L, Alvarez M, Vazquez Y, Camarillo L, Romo R (2010) Decoding a perceptual decision process across cortex. Neuron 66:300–314
Hoshi E, Tanji J (2006) Differential involvement of neurons in the dorsal and ventral premotor cortex during processing of visual signals for action planning. J Neurophysiol 95:3596–3616
Hoshi E, Shima K, Tanji J (1998) Task-dependent selectivity of movement-related neuronal activity in the primate prefrontal cortex. J Neurophysiol 80:3392–3397
Hubbard EM, Piazza M, Pinel P, Dehaene S (2005) Interactions between number and space in parietal cortex. Nat Rev Neurosci 6:435–448
Hussar CR, Pasternak T (2009) Flexibility of sensory representations in prefrontal cortex depends on cell type. Neuron 64:730–743
Hussar CR, Pasternak T (2012) Memory-guided sensory comparison in the prefrontal cortex: contribution of putative pyramidal cells and interneurons. J Neurosci 32:2747–2761
Hussar CR, Pasternak T (2013) Common rules guide comparison of speed and direction of motion in the dorsolateral prefrontal cortex. J Neurosci 33:972–986
Issa NP, Trepel C, Stryker MP (2000) Spatial frequency maps in cat visual cortex. J Neurosci 20:8504–8515
Jacob SN, Nieder A (2009) Tuning to non-symbolic proportions in the human frontoparietal cortex. Eur J Neurosci 30:1432–1442
Jacob SN, Nieder A (2014) Complementary roles for primate frontal and parietal cortex in guarding working memory from distractor stimuli. Neuron 83:226–237
Jacob SN, Vallentin D, Nieder A (2012) Relating magnitudes: the brain’s code for proportions. Trends Cogn Sci 16:157–166
Kurata K, Tsuji T, Naraki S, Seino M, Abe Y (2000) Activation of the dorsal premotor cortex and pre-supplementary motor area of humans during an auditory conditional motor task. J Neurophysiol 84:1667–1672
Lu A, Hodges B, Zhang J, Zhang JX (2009) Contextual effects on number-time interaction. Cognition 113:117–122
Maffei L, Fiorentini A (1973) The visual cortex as a spatial frequency analyzer. Vis Res 13:1255–1267
Merten K, Nieder A (2012) Active encoding of decisions about stimulus absence in primate prefrontal cortex neurons. Proc Natl Acad Sci USA 109:6289–6294
Merten K, Nieder A (2013) Comparison of abstract decision encoding in the monkey prefrontal cortex, the presupplementary and cingulate motor areas. J Neurophysiol 110:19–32
Muhammad R, Wallis JD, Miller EK (2006) A comparison of abstract rules in the prefrontal cortex, premotor cortex, the inferior temporal cortex and the striatum. J Cogn Neurosci 18:974–989
Nieder A (2009) Prefrontal cortex and the evolution of symbolic reference. Curr Opin Neurobiol 19:99–108
Nieder A (2013) Coding of abstract quantity by ‘number neurons’ of the primate brain. J Comp Physiol A 199:1–16
Nieder A, Dehaene S (2009) Representation of number in the brain. Annu Rev Neurosci 32:185–208
Nieder A, Miller EK (2004) A parieto-frontal network for visual numerical information in the monkey. Proc Natl Acad Sci USA 101:7457–7462
Nieder A, Freedman DJ, Miller EK (2002) Representation of the quantity of visual items in the primate prefrontal cortex. Science 297:1708–1711
Onoe H, Komori M, Onoe K, Takechi H, Tsukada H, Watanabe Y (2001) Cortical networks recruited for time perception: a monkey positron emission tomography (PET) study. Neuroimage 13:37–45
Ott T, Jacob SN, Nieder A (2014) Dopamine receptors differentially enhance rule coding in primate prefrontal cortex neurons. Neuron 84:1317–1328
Padoa-Schioppa C, Assad JA (2006) Neurons in the orbitofrontal cortex encode economic value. Nature 441:223–226
Passingham RE (1988) Premotor cortex and preparation for movement. Exp Brain Res 70:590–596
Peng X, van Essen DC (2005) Peaked encoding of relative luminance in macaque areas V1 and V2. J Neurophysiol 93:1620–1632
Petrides M (2005) Lateral prefrontal cortex: architectonic and functional organization. Philos Trans R Soc Lond B Biol Sci 360:781–795
Petrides M, Pandya DN (2007) Efferent association pathways from the rostral prefrontal cortex in the macaque monkey. J Neurosci 27:11573–11586
Piazza M, Pinel P, Le Bihan D, Dehaene S (2007) A magnitude code common to numerosities and number symbols in human intraparietal cortex. Neuron 53:293–305
Picard N, Strick PL (2001) Imaging the premotor areas. Curr Opin Neurobiol 11:663–672
Pinel P, Piazza M, Le Bihan D, Dehaene S (2004) Distributed and overlapping cerebral representation of number, size, and luminance during comparative judgments. Neuron 41:1–20
Rao SM, Mayer AR, Harrington DL (2001) The evolution of brain activation during temporal processing. Nat Neurosci 4:317–323
Robson JG, Tolhurst DJ, Freeman RD, Ohzawa I (1988) Simple cells in the visual cortex of the cat can be narrowly tuned for spatial frequency. Vis Neurosci 1:415–419
Romo R, Brody CD, Hernandez A, Lemus L (1999) Neuronal correlates of parametric working memory in the prefrontal cortex. Nature 399:470–473
Schumacher EH, Elston PA, D’Esposito M (2003) Neural evidence for representation-specific response selection. J Cogn Neurosci 15:1111–1121
Schwarz W, Eiselt AK (2009) The perception of temporal order along the mental number line. J Exp Psychol Hum Percept Perform 35:989–1004
Tanji J, Hoshi E (2008) Role of lateral prefrontal cortex in executive behavioral control. Physiol Rev 88:37–57
Tudusciuc O, Nieder A (2007) Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proc Natl Acad Sci USA 104:14513–14518
Tudusciuc O, Nieder A (2009) Contributions of primate prefrontal and posterior parietal cortices to length and numerosity representation. J Neurophysiol 101:2984–2994
Turken AU, Swick D (1999) Response selection in the human anterior cingulate cortex. Nat Neurosci 2:920–924
Vallentin D, Nieder A (2008) Behavioral and prefrontal representation of spatial proportions in the monkey. Curr Biol 18:1420–1425
Vallentin D, Nieder A (2010) Representations of visual proportions in the primate posterior parietal and prefrontal cortices. Eur J Neurosci 32:1380–1387
Viswanathan P, Nieder A (2013) Neuronal correlates of a visual ‘sense of number’ in primate parietal and prefrontal cortices. Proc Natl Acad Sci USA 110:11187–11192
Viswanathan P, Nieder A (2015) Differential impact of behavioral relevance on quantity coding in primate frontal and parietal neurons. Curr Biol 25:1259–1269
Wallis JD, Miller EK (2003) From rule to response: neuronal processes in the premotor and prefrontal cortex. J Neurophysiol 90:1790–1806
Wallis JD, Anderson KC, Miller EK (2001) Single neurons in prefrontal cortex encode abstract rules. Nature 411:953–956
Walsh V (2003) A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cogn Sci 7:483–488
White IM, Wise SP (1999) Rule-dependent neuronal activity in the prefrontal cortex. Exp Brain Res 126:315–335
Xuan B, Zhang D, He S, Chen X (2007) Larger stimuli are judged to last longer. J Vis 7(2):1–5
Acknowledgments
Supported by the Bernstein Center for Computational Neuroscience, Tuebingen (BMBF; FKZ: 01GQ1002).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eiselt, AK., Nieder, A. Single-cell coding of sensory, spatial and numerical magnitudes in primate prefrontal, premotor and cingulate motor cortices. Exp Brain Res 234, 241–254 (2016). https://doi.org/10.1007/s00221-015-4449-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00221-015-4449-8