The cost of cortical computation.
Open accessAbstract
Electrophysiological recordings show that individual neurons in cortex are strongly activated when engaged in appropriate tasks, but they tell us little about how many neurons might be engaged by a task, which is important to know if we are to understand how cortex encodes information. For human cortex, I estimate the cost of individual spikes, then, from the known energy consumption of cortex, I establish how many neurons can be active concurrently. The cost of a single spike is high, and this severely limits, possibly to fewer than 1%, the number of neurons that can be substantially active concurrently. The high cost of spikes requires the brain not only to use representational codes that rely on very few active neurons, but also to allocate its energy resources flexibly among cortical regions according to task demand. The latter constraint explains the investment in local control of hemodynamics, exploited by functional magnetic resonance imaging, and the need for mechanisms of selective attention.
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Mechanisms of synaptic homeostasis and plasticity to maintain the number of synapses in check, as well as sparse coding, may be direct consequences of a limiting and size-invariant, fixed energy budget per neuron.
“Thus, mechanisms of synaptic homeostasis [62] and plasticity to maintain the number of synapses in check (including the decrease of synaptic markers during sleep [63]), as well as sparse coding, with only a small proportion of neurons firing at high frequencies at any moment [49], [64], [65], may be direct consequences to brain function of a limiting and size-invariant, fixed energy budget per”
From Scaling of Brain Metabolism with a Fixed Energy Budget per Neuron: Implications for Neuronal Activity, Plasticity and Evolution (2011) · cites this paper as [49]
Increases in neuronal activity are expected to cost more energy.
“Increases in neuronal activity, with the associated depolarization and repolarization of cell membranes and cycling of transmitters, are expected to cost more energy [23], [49].”
From Scaling of Brain Metabolism with a Fixed Energy Budget per Neuron: Implications for Neuronal Activity, Plasticity and Evolution (2011) · cites this paper as [49]
The two highest costs associated with neuronal activity come from excitatory postsynaptic potentials in the dendritic tree and propagation of action potentials along the axon.
“The two highest costs associated with neuronal activity come from excitatory postsynaptic potentials in the dendritic tree and propagation of action potentials along the axon (8).”
From Evolution of increased glia–neuron ratios in the human frontal cortex (2006) · cites this paper as [8]
The increased ratio of glia to neurons in the human frontal cortex might be explained by energy expenditures that are correlated with increasing neocortex size, which, in humans, accounts for 44% of the brain's total energy consumption.
“The increased ratio of glia to neurons in the human frontal cortex might be explained by energy expenditures that are correlated with increasing neocortex size, which, in humans, accounts for 44% of the brain’s total energy consumption (8).”
From Evolution of increased glia–neuron ratios in the human frontal cortex (2006) · cites this paper as [8]
The pattern of enhanced neuronal energy expenditure despite lower mass-specific brain metabolism is consistent with a model predicting that, with increases in brain size, a progressively smaller fraction of the total neuron population may be concurrently active, leading to more modularized information coding.
“This pattern is consistent with a model that predicts that, with increases in brain size, a progressively smaller fraction of the total neuron population may be concurrently active, leading to more modularized information coding (7, 8).”
From Evolution of increased glia–neuron ratios in the human frontal cortex (2006) · cites this paper as [8]
Each human neocortical neuron consumes 3.3 times more ATP to fire a single spike than in rats, and 2.6 times more energy to maintain resting potentials.
“Considering the relatively greater surface area of neuronal soma, dendrites, and axons that accompany brain enlargement, it has been estimated that each human neocortical neuron consumes 3.3 times more ATP to fire a single spike than in rats, and 2.6 times more energy to maintain resting potentials (8).”
From Evolution of increased glia–neuron ratios in the human frontal cortex (2006) · cites this paper as [8]
Cites
Measuring the thickness of the human cerebral cortex from magnetic resonance images
Fischl, B. R., & Dale, A. M. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.200033797 · Cited by 5,789 · see citing works
An Energy Budget for Signaling in the Grey Matter of the Brain
Attwell, D., & Laughlin, S. B. (2001) · Journal of Cerebral Blood Flow & Metabolism · doi:10.1097/00004647-200110000-00001 · Cited by 3,543 · see citing works
Comparative electrophysiology of pyramidal and sparsely spiny stellate neurons of the neocortex
McCormick, D. A., Connors, B. W., Lighthall, J. W., & Prince, D. A. (1985) · Journal of Neurophysiology · doi:10.1152/jn.1985.54.4.782 · Cited by 1,935 · see citing works
Nonoxidative Glucose Consumption During Focal Physiologic Neural Activity
Fox, P. T., Raichle, M. E., Mintun, M. A., & Dence, C. (1988) · Science · doi:10.1126/science.3260686 · Cited by 1,796 · see citing works
Single Units and Sensation: A Neuron Doctrine for Perceptual Psychology?
Barlow, H. B. (1972) · Perception · doi:10.1068/p010371 · Cited by 1,714 · see citing works
(1971) · Medical Entomology and Zoology · Cited by 1,687 · see citing works
Neural Mechanisms of Visual Working Memory in Prefrontal Cortex of the Macaque
Miller, E. K., Erickson, C. A., & Desimone, R. (1996) · Journal of Neuroscience · doi:10.1523/jneurosci.16-16-05154.1996 · Cited by 1,441 · see citing works
Cortex: Statistics and Geometry of Neuronal Connectivity
Braitenberg, V., & Schüz, A. (1998) · doi:10.1007/978-3-662-03733-1 · Cited by 1,178 · see citing works
What does fMRI tell us about neuronal activity?
Heeger, D. J., & Ress, D. B. (2002) · Nature reviews. Neuroscience · doi:10.1038/nrn730 · Cited by 1,078 · see citing works
Recurrent Excitation in Neocortical Circuits
Douglas, R. J., Christof Koch, A., Mahowald, M. A., Martin, K. A. C., & Suarez, H. H. (1995) · Science · doi:10.1126/science.7638624 · Cited by 985 · see citing works
Markram, H., Lübke, J., Frotscher, M., Roth, A., & Sakmann, B. (1997) · The Journal of Physiology · doi:10.1113/jphysiol.1997.sp022031 · Cited by 960 · see citing works
THE BASIC UNIFORMITY IN STRUCTURE OF THE NEOCORTEX
Röckel, A., Hiorns, R. W., & Powell, T. P. S. (1980) · Brain · doi:10.1093/brain/103.2.221 · Cited by 902 · see citing works
New and Revised Data on Volumes of Brain Structures in Insectivores and Primates
Stephan, H., Frahm, H. D., & Baron, G. (1981) · Folia Primatologica · doi:10.1159/000155963 · Cited by 878 · see citing works
Circulation and Energy Metabolism of the Brain
Clarke, D. D., & Sokoloff, L. (1999) · Cited by 732 · see citing works
CNS energy metabolism as related to function
Ames, A. (2000) · Brain Research Reviews · doi:10.1016/s0165-0173(00)00038-2 · Cited by 663 · see citing works
Determinants of Voltage Attenuation in Neocortical Pyramidal Neuron Dendrites
Stuart, G. J., & Spruston, N. (1998) · Journal of Neuroscience · doi:10.1523/jneurosci.18-10-03501.1998 · Cited by 527 · see citing works
Haug, H. (1987) · American Journal of Anatomy · doi:10.1002/aja.1001800203 · Cited by 481 · see citing works
Levy, W. B., & Baxter, R. A. (1996) · Neural Computation · doi:10.1162/neco.1996.8.3.531 · Cited by 477 · see citing works
Shen, J., Petersen, K. F., Behar, K. L., Brown, P., Nixon, T. W., Mason, G. F., Petroff, O. A. C., Shulman, G. I., Shulman, R. G., & Rothman, D. L. (1999) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.96.14.8235 · Cited by 462 · see citing works
A model of spike initiation in neocortical pyramidal neurons
Mainen, Z. F., Joerges, J., Huguenard, J. R., & B, T. J. S. A. (1995) · Neuron · doi:10.1016/0896-6273(95)90020-9 · Cited by 431 · see citing works
An evaluation of causes for unreliability of synaptic transmission.
Allen, C., & Stevens, C. F. (1994) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.91.22.10380 · Cited by 406 · see citing works
Spikes versus BOLD: what does neuroimaging tell us about neuronal activity?
Heeger, D. J., Huk, A. C., Geisler, W. S., & Albrecht, D. G. (2000) · Nature Neuroscience · doi:10.1038/76572 · Cited by 364 · see citing works
The pyramidal cell in cognition: a comparative study in human and monkey
Elston, G. N., Benavides-Piccione, R., & DeFelipe, J. (2001) · The Journal of Neuroscience · doi:10.1523/jneurosci.21-17-j0002.2001 · Cited by 317 · see citing works
Current Problems in Animal Behaviour
Curry‐Lindahl, K., Thorpe, W. H., & Zangwill, O. L. (1962) · Journal of Wildlife Management · doi:10.2307/3798617 · Cited by 316 · see citing works
The total number of neurons in the human neocortex unbiasedly estimated using optical disectors
Brændgaard, H., Evans, S. M., Howard, C. V., & Gundersen, H. J. G. (1990) · Journal of Microscopy · doi:10.1111/j.1365-2818.1990.tb02967.x · Cited by 282 · see citing works
Single Units and Visual Cortical Organization
Lennie, P. (1998) · Perception · doi:10.1068/p270889 · Cited by 275 · see citing works
Self-citationDendritic morphology of pyramidal neurones of the visual cortex of the rat: III. Spine distributions
Larkman, A. U. (1991) · The Journal of Comparative Neurology · doi:10.1002/cne.903060209 · Cited by 274 · see citing works
Sheinberg, D. L., & Logothetis, N. K. (2001) · Journal of Neuroscience · doi:10.1523/jneurosci.21-04-01340.2001 · Cited by 242 · see citing works
THE DENSITY OF SYNAPSES AND NEURONS IN NORMAL, MENTALLY DEFECTIVE AND AGEING HUMAN BRAINS
Cragg, B. G. (1975) · Brain · doi:10.1093/brain/98.1.81 · Cited by 225 · see citing works
GABA immunoreactive neurons in rat visual cortex
Meinecke, D. L., & Peters, A. (1987) · The Journal of Comparative Neurology · doi:10.1002/cne.902610305 · Cited by 196 · see citing works
Current problems in animal behaviour
Thorpe, W. H., & Zangwill, O. L. (1961) · Medical Entomology and Zoology · Cited by 192 · see citing works
Ionic channels of excitable membranes. Second edition
Miller, C. (1992) · Cell · doi:10.1016/0092-8674(92)90220-7 · Cited by 127 · see citing works
Hardingham, N. R., & Larkman, A. U. (1998) · The Journal of Physiology · doi:10.1111/j.1469-7793.1998.249bu.x · Cited by 110 · see citing works
Form representation in monkey inferotemporal cortex is virtually unaltered by free viewing
DiCarlo, J. J., & Maunsell, J. H. R. (2000) · Nature Neuroscience · doi:10.1038/77722 · Cited by 102 · see citing works
Chhina, N., Küstermann, E., Halliday, J. L., Simpson, L., Macdonald, I. A., BACHELARD, H. S., & Morris, P. G. (2001) · Journal of Neuroscience Research · doi:10.1002/jnr.10053 · Cited by 101 · see citing works
Tramo, M. J., Loftus, W. C., Thomas, C. E., Green, R. L., Mott, L. A., & Gazzaniga, M. S. (1995) · Journal of Cognitive Neuroscience · doi:10.1162/jocn.1995.7.2.292 · Cited by 76 · see citing works
Braak, H., & Braak, E. (1986) · Progress in brain research · doi:10.1016/s0079-6123(08)64305-8 · Cited by 63 · see citing works
The use of stereology demonstrated by the evaluation of man's cerebral cortex.
Haug, H. (1981) · PubMed · Cited by 3 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Spontaneous fluctuations in brain activity observed with functional magnetic resonance imaging
Fox, M. D., & Raichle, M. E. (2007) · Nature Reviews Neuroscience · doi:10.1038/nrn2201 · Cited by 6,700 · see citing works
Synaptic Energy Use and Supply
Harris, J. J., Jolivet, R., & Attwell, D. (2012) · Neuron · doi:10.1016/j.neuron.2012.08.019 · Cited by 1,747 · see citing works
Raichle, M. E., & Mintun, M. A. (2006) · Annual Review of Neuroscience · doi:10.1146/annurev.neuro.29.051605.112819 · Cited by 1,630 · see citing works
Logothetis, N. K., & Wandell, B. A. (2004) · Annual Review of Physiology · doi:10.1146/annurev.physiol.66.082602.092845 · Cited by 1,568 · see citing works
An opportunity cost model of subjective effort and task performance
Kurzban, R., Duckworth, A., Kable, J. W., & Myers, J. (2013) · Behavioral and Brain Sciences · doi:10.1017/s0140525x12003196 · Cited by 1,381 · see citing works
Sparse coding of sensory inputs
Olshausen, B. A., & Field, D. J. (2004) · Current Opinion in Neurobiology · doi:10.1016/j.conb.2004.07.007 · Cited by 1,404 · see citing works
A Cellular Perspective on Brain Energy Metabolism and Functional Imaging
Magistretti, P. J., & Allaman, I. (2015) · Neuron · doi:10.1016/j.neuron.2015.03.035 · Cited by 1,285 · see citing works
Object perception as Bayesian inference
Kersten, D., Mamassian, P., & Yuille, A. (2004) · Annual Review of Psychology · doi:10.1146/annurev.psych.55.090902.142005 · Cited by 1,269 · see citing works
Raichle, M. E. (2010) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2010.01.008 · Cited by 1,111 · see citing works
Efficient Learning of Sparse Representations with an Energy-Based Model
Ranzato, M., Poultney, C., Chopra, S., & LeCun, Y. (2007) · Advances in Neural Information Processing Systems 19 · doi:10.7551/mitpress/7503.003.0147 · Cited by 1,106 · see citing works
Energy limitation as a selective pressure on the evolution of sensory systems
Niven, J. E., & Laughlin, S. B. (2008) · Journal of Experimental Biology · doi:10.1242/jeb.017574 · Cited by 1,056 · see citing works
Communication in neuronal networks
Laughlin, S. B., & Sejnowski, T. J. (2003) · Science · doi:10.1126/science.1089662 · Cited by 950 · see citing works
‘Activity-silent’ working memory in prefrontal cortex: a dynamic coding framework
Stokes, M. G. (2015) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2015.05.004 · Cited by 850 · see citing works
Lieder, F., & Griffiths, T. L. (2020) · Behavioral and Brain Sciences · doi:10.1017/s0140525x1900061x · Cited by 892 · see citing works
Updated Energy Budgets for Neural Computation in the Neocortex and Cerebellum
Howarth, C., Gleeson, P., & Attwell, D. (2012) · Journal of Cerebral Blood Flow & Metabolism · doi:10.1038/jcbfm.2012.35 · Cited by 738 · see citing works
The blood-brain barrier: an engineering perspective
Wong, A. D., Ye, M., Levy, A. F., Rothstein, J. D., Bergles, D. E., & Searson, P. C. (2013) · Frontiers in Neuroengineering · doi:10.3389/fneng.2013.00007 · Cited by 662 · see citing works
Understanding complexity in the human brain
Bassett, D. S., & Gazzaniga, M. S. (2011) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2011.03.006 · Cited by 572 · see citing works
The energetics of CNS white matter
Harris, J. J., & Attwell, D. (2012) · The Journal of Neuroscience · doi:10.1523/jneurosci.3430-11.2012 · Cited by 505 · see citing works
Bayesian just-so stories in psychology and neuroscience.
Bowers, J. S., & Davis, C. J. (2012) · Psychological Bulletin · doi:10.1037/a0026450 · Cited by 436 · see citing works
Aerobic glycolysis in the human brain is associated with development and neotenous gene expression
Goyal, M. S., Hawrylycz, M., Miller, J. A., Snyder, A. Z., & Raichle, M. E. (2014) · Cell Metabolism · doi:10.1016/j.cmet.2013.11.020 · Cited by 459 · see citing works
“Most of this glucose is oxidized in order to supply the large amounts of ATP required to maintain membrane ion gradients and other cellular processes related to synaptic transmission (Attwell and Laughlin, 2001; Lennie, 2003; Raichle and Mintun, 2006; Sibson et al., 1997, 1998).”
Energy-Efficient Action Potentials in Hippocampal Mossy Fibers
Alle, H., Roth, A., & Geiger, J. R. P. (2009) · Science · doi:10.1126/science.1174331 · Cited by 429 · see citing works
Small modulation of ongoing cortical dynamics by sensory input during natural vision.
Fiser, J., Chiu, C., & Weliky, M. (2004) · Nature · doi:10.1038/nature02907 · Cited by 423 · see citing works
Experimental evidence for sparse firing in the neocortex
Barth, A. L., & Poulet, J. F. A. (2012) · Trends in Neurosciences · doi:10.1016/j.tins.2012.03.008 · Cited by 364 · see citing works
Unique features of action potential initiation in cortical neurons
Naundorf, B., Wolf, F., & Volgushev, M. (2006) · Nature · doi:10.1038/nature04610 · Cited by 396 · see citing works
Suboptimality in perceptual decision making
Rahnev, D., & Denison, R. N. (2018) · Behavioral and Brain Sciences · doi:10.1017/s0140525x18000936 · Cited by 342 · see citing works
Sterling, P. (2004) · Allostasis, Homeostasis, and the Costs of Physiological Adaptation · doi:10.1017/cbo9781316257081.004 · Cited by 353 · see citing works
Evolution of increased glia–neuron ratios in the human frontal cortex
Sherwood, C. C., Stimpson, C. D., Raghanti, M. A., Wildman, D. E., Uddin, M., Grossman, L. I., Goodman, M., Redmond, J. C., Bonar, C. J., Erwin, J. M., et al. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0605843103 · Cited by 342 · see citing works
Herculano-Houzel, S. (2011) · PLoS ONE · doi:10.1371/journal.pone.0017514 · Cited by 343 · see citing works
Unreliable evoked responses in autism
Dinstein, I., Heeger, D. J., Lorenzi, L., Minshew, N. J., Malach, R., & Behrmann, M. (2012) · Neuron · doi:10.1016/j.neuron.2012.07.026 · Cited by 318 · see citing works
Hyder, F., Rothman, D. L., & Bennett, M. R. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1214912110 · Cited by 271 · see citing works
Conservation and divergence of cortical cell organization in human and mouse revealed by MERFISH
Fang, R., Xia, C., Close, J. L., Zhang, M., He, J., Huang, Z., Halpern, A. R., Long, B., Miller, J. A., Lein, E. S., et al. (2022) · Science · doi:10.1126/science.abm1741 · Cited by 277 · see citing works
Fly photoreceptors demonstrate energy-information trade-offs in neural coding
Niven, J. E., Anderson, J. C., & Laughlin, S. B. (2007) · PLoS Biology · doi:10.1371/journal.pbio.0050116 · Cited by 272 · see citing works
Metabolic cost as a unifying principle governing neuronal biophysics.
Hasenstaub, A., Otte, S., Callaway, E., & Sejnowski, T. J. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0914886107 · Cited by 246 · see citing works
Evaluating the gray and white matter energy budgets of human brain function
Yu, Y., Herman, P., Rothman, D. L., Agarwal, D., & Hyder, F. (2018) · Journal of Cerebral Blood Flow & Metabolism · doi:10.1177/0271678x17708691 · Cited by 211 · see citing works
The energetic brain—A review from students to students
Bordone, M. P., Salman, M. M., Titus, H. E., Amini, E., Andersen, J. V., Chakraborti, B., Diuba, A. V., Dubouskaya, T. G., Ehrke, E., Espindola de Freitas, A., et al. (2019) · Journal of Neurochemistry · doi:10.1111/jnc.14829 · Cited by 205 · see citing works
High-Level Prediction Signals in a Low-Level Area of the Macaque Face-Processing Hierarchy
Schwiedrzik, C. M., & Freiwald, W. A. (2017) · Neuron · doi:10.1016/j.neuron.2017.09.007 · Cited by 136 · see citing works
Spatial attention alters visual appearance
Carrasco, M., & Barbot, A. (2019) · Current Opinion in Psychology · doi:10.1016/j.copsyc.2018.10.010 · Cited by 161 · see citing works
Mangia, S., Giove, F., Tkáč, I., Logothetis, N. K., Henry, P.-G., Olman, C. A., Maraviglia, B., Di Salle, F., & Uğurbil, K. (2009) · Journal of Cerebral Blood Flow & Metabolism · doi:10.1038/jcbfm.2008.134 · Cited by 161 · see citing works
Global and regional brain metabolic scaling and its functional consequences.
Karbowski, J. (2007) · BMC Biology · doi:10.1186/1741-7007-5-18 · Cited by 161 · see citing works
Neuroethology of primate social behavior
Chang, S. W. C., Brent, L. J. N., Adams, G. K., Klein, J. T., Pearson, J. M., Watson, K. K., & Platt, M. L. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1301213110 · Cited by 157 · see citing works
Comparing Bayesian and non-Bayesian accounts of human confidence reports
Adler, W. T., & Ma, W. J. (2018) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1006572 · Cited by 118 · see citing works
Mineault, P. J., Tring, E., Trachtenberg, J. T., & Ringach, D. L. (2016) · The Journal of Neuroscience · doi:10.1523/jneurosci.0430-16.2016 · Cited by 148 · see citing works
Neuronal message passing using mean-field, bethe, and marginal approximations
Parr, T., Markovic, D., Kiebel, S. J., & Friston, K. J. (2019) · Scientific Reports · doi:10.1038/s41598-018-38246-3 · Cited by 128 · see citing works
Perceptual grouping and inverse fMRI activity patterns in human visual cortex
Fang, F., Kersten, D., & Murray, S. O. (2008) · Journal of Vision · doi:10.1167/8.7.2 · Cited by 122 · see citing works
Hierarchical Address Event Routing for Reconfigurable Large-Scale Neuromorphic Systems
Park, J., Yu, T., Joshi, S., Maier, C., & Cauwenberghs, G. (2017) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2016.2572164 · Cited by 118 · see citing works
Balasubramanian, V. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2107022118 · Cited by 113 · see citing works
Cao, J., Herman, A. B., West, G. B., Poe, G., & Savage, V. M. (2020) · Science Advances · doi:10.1126/sciadv.aba0398 · Cited by 105 · see citing works
Kikuchi, M., Hashimoto, T., Nagasawa, T., Hirosawa, T., Minabe, Y., Yoshimura, M., Strik, W., Dierks, T., & Koenig, T. (2011) · Schizophrenia Research · doi:10.1016/j.schres.2011.06.003 · Cited by 74 · see citing works
The Influence of Wiring Economy on Nervous System Evolution
Wang, I. E., & Clandinin, T. R. (2016) · Current Biology · doi:10.1016/j.cub.2016.08.053 · Cited by 45 · see citing works
High-density neural recording system design
Lee, H.-S., Eom, K., Park, M., Ku, S.-B., Lee, K., & Lee, H.-M. (2022) · Biomedical Engineering Letters · doi:10.1007/s13534-022-00233-z · Cited by 17 · see citing works
Tottori, T., & Kobayashi, T. J. (2025) · Physical Review Research · doi:10.1103/gvl6-cvby · Cited by 6 · see citing works
Resource limitations induce phase transitions in biological information processing
Tottori, T., & Kobayashi, T. J. (2025) · Physical Review Research · doi:10.1103/nz4j-tyv1 · Cited by 3 · see citing works
Energy paradox in REM sleep: balancing supply and consumption in brain metabolism
Takahashi, Y., Ikoma, Y., & Matsui, K. (2026) · Communications Biology · doi:10.1038/s42003-026-10646-6 · Cited by 1 · see citing works
“Elucidating energy dynamics in the biological brain represents a key step toward understanding the mechanisms underlying the brain ’ s unique information-processing capabilities and its unparalleled energy ef fi ciency compared to modern computers 5 .”
Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies
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- Authors
- Lennie, P.
- Affiliations
- New York University (US)
- Corresponding author
- Lennie, Peter
- ORCID
- Lennie, Peter
- Venue
- Current Biology
- Publisher
- Elsevier BV
- Published
- 2003-03
- Volume
- 13
- Issue
- 6
- Pages
- 493-497
- ISSN
- 0960-9822 (ISSN-L)
- OpenAlex
- W2075187489
- Cited by
- 1,134
- References
- 38
- Citations by year
- 2026: 60 · 2025: 84 · 2024: 48 · 2023: 81 · 2022: 56 · 2021: 66 · 2020: 51 · 2019: 64 · 2018: 47 · 2017: 50 · 2016: 56 · 2015: 47 · 2014: 52 · 2013: 44 · 2012: 59
- FWCI
- 12.08
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- www.elsevier.com/legal/tdmrep-license (tdm)
- www.elsevier.com/open-access/userlicense/1.0/ (vor, 3791 d)
- doi.org/10.15223/policy-017 (stm-asf)
- doi.org/10.15223/policy-037 (stm-asf)
- doi.org/10.15223/policy-012 (stm-asf)
- doi.org/10.15223/policy-029 (stm-asf)
- doi.org/10.15223/policy-004 (stm-asf)
- Locations
- Current Biology (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institutes of Health (EY04440, EY13079)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Keywords
- cortical computation, sparse coding, neural representations, energy allocation, hemodynamic management, functional MRI, selective attention
- MeSH terms
- Action Potentials, Attention, Brain Mapping, Cell Count, Energy Metabolism, Hemodynamics, Humans, Models, Neurological, Synaptic Transmission, Neurons, Time Factors, Linear Models, Neurotransmitter Agents, Neocortex, Excitatory Postsynaptic Potentials
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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