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Princeton\/Chichester: Princeton University Press."},{"key":"ref3","doi-asserted-by":"crossref","first-page":"1792","DOI":"10.1242\/jeb.017574","article-title":"Energy limitation as a selective pressure on the evolution of sensory systems","volume":"211","author":"JE Niven","year":"2008","journal-title":"J Exp Biol"},{"key":"ref4","unstructured":"Feynman RP, Hey AJG, Allen RW (1996) Feynman lectures on computation. Reading (Massachusetts): Addison-Wesley."},{"key":"ref5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1147\/rd.53.0183","article-title":"Irreversibility and heat generation in the computing process","volume":"5","author":"R Landauer","year":"1961","journal-title":"IBM Journal of Research and Development"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"1914","DOI":"10.1126\/science.272.5270.1914","article-title":"Minimal energy requirements in communciation","volume":"272","author":"R Landauer","year":"1996","journal-title":"Science"},{"key":"ref7","unstructured":"Stemmler M, Sengupta B, Laughlin SB, Niven JE (2011) Energetically optimal action potentials. In: Shawe-Taylor J, Zemel RS, Bartlett P, Pereira F, Weinberger KQ, editors. Advances in neural information processing systems 24. pp. 1566\u20131574."},{"key":"ref8","doi-asserted-by":"crossref","first-page":"2690","DOI":"10.1103\/PhysRevLett.78.2690","article-title":"Nonequilibrium equality for free energy differences","volume":"78","author":"C Jarzynski","year":"1997","journal-title":"Phys Rev Lett"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1080\/00221309.1947.9918144","article-title":"Principles of the self-organising dynamic system","volume":"37","author":"WR Ashby","year":"1947","journal-title":"J Gen Psychol"},{"key":"ref10","unstructured":"Nicolis G, Prigogine I (1977) Self-organisation in non-equilibrium systems. New York: Wiley."},{"key":"ref11","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1073\/pnas.18.3.279","article-title":"Recent contributions to the ergodic theory","volume":"18","author":"GD Birkhoff","year":"1932","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"937860","DOI":"10.1155\/2012\/937860","article-title":"Free energy, value, and attractors","volume":"2012","author":"K Friston","year":"2012","journal-title":"Comput Math Methods Med"},{"key":"ref13","first-page":"293","article-title":"The free-energy principle: a rough guide to the brain?","volume":"13","author":"K Friston","year":"2009","journal-title":"TICS"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1038\/nrn2787","article-title":"The free-energy principle: a unified brain theory?","volume":"11","author":"K Friston","year":"2010","journal-title":"Nat Rev Neurosci"},{"key":"ref15","unstructured":"Feynman RP (1998) Statistical mechanics: a set of lectures. Boulder (Colorado): Westview Press."},{"key":"ref16","unstructured":"Beal M (2003) Variational algorithms for approximate bayesian inference [PhD thesis]. London: University College London."},{"key":"ref17","unstructured":"Hinton GE, Sejnowski TJ (1983) Analyzing cooperative computation. In: Proceedings of the 5th Annual Congress of the Cognitive Science Society; 1983; Rochester, New York, United States."},{"key":"ref18","unstructured":"Hinton GE, Sejnowski TJ (1983) Optimal perceptual inference. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition; 1983; Washington, D.C., United States. pp. 448\u2013453."},{"key":"ref19","unstructured":"Hofstadter DR (1984) The copycat project: an experiment in nondeterminism and creative analogies. Boston: MIT Artificial Intelligence Laboratory."},{"key":"ref20","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","article-title":"Neural networks and physical systems with emergent collective computational abilities","volume":"79","author":"JJ Hopfield","year":"1982","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.jphysparis.2006.10.001","article-title":"A free energy principle for the brain","volume":"100","author":"K Friston","year":"2006","journal-title":"J Physiol Paris"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.neuroimage.2006.08.035","article-title":"Variational free energy and the Laplace approximation","volume":"34","author":"K Friston","year":"2007","journal-title":"Neuroimage"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"1199","DOI":"10.1016\/j.neuroimage.2006.10.017","article-title":"Extra-classical receptive field effects measured in striate cortex with fMRI","volume":"34","author":"LM Harrison","year":"2007","journal-title":"Neuroimage"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"20961","DOI":"10.1073\/pnas.0706274105","article-title":"Evoked brain responses are generated by feedback loops","volume":"104","author":"MI Garrido","year":"2007","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1038\/335311a0","article-title":"The functional logic of cortical connections","volume":"335","author":"S Zeki","year":"1988","journal-title":"Nature"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1093\/cercor\/1.1.1","article-title":"Distributed hierarchical processing in the primate cerebral cortex","volume":"1","author":"DJ Felleman","year":"1991","journal-title":"Cereb Cortex"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1088\/0954-898X_4_4_001","article-title":"A forward-inverse optics model of reciprocal connections between visual cortical areas","volume":"4","author":"M Kawato","year":"1993","journal-title":"Network"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1098\/rspb.1982.0085","article-title":"Predictive coding: a fresh view of inhibition in the retina","volume":"216","author":"MV Srinivasan","year":"1982","journal-title":"Proc R Soc Lond B Biol Sci"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF00198477","article-title":"On the computational architecture of the neocortex. II. The role of cortico-cortical loops","volume":"66","author":"D Mumford","year":"1992","journal-title":"Biol Cybern"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1038\/34584","article-title":"Constraints on cortical and thalamic projections: the no-strong-loops hypothesis","volume":"391","author":"F Crick","year":"1998","journal-title":"Nature"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1038\/4580","article-title":"Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects","volume":"2","author":"RP Rao","year":"1999","journal-title":"Nat Neurosci"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1016\/j.neuron.2005.04.026","article-title":"Uncertainty, neuromodulation, and attention","volume":"46","author":"AJ Yu","year":"2005","journal-title":"Neuron"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"e1000211","DOI":"10.1371\/journal.pcbi.1000211","article-title":"Hierarchical models in the brain","volume":"4","author":"K Friston","year":"2008","journal-title":"PLoS Comput Biol"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1126\/science.275.5297.221","article-title":"Synaptic depression and cortical gain control","volume":"275","author":"LF Abbott","year":"1997","journal-title":"Science"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1063\/1.3071140","article-title":"Thermodynamics of evolution","volume":"25","author":"L Prigogine","year":"1972","journal-title":"Physics Today"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/TIT.1955.1055126","article-title":"Predictive coding-I","volume":"1","author":"P Elias","year":"1955","journal-title":"IRE Transactions on Information Theory"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/TIT.1955.1055116","article-title":"Predictive coding-II","volume":"1","author":"P Elias","year":"1955","journal-title":"IRE Transactions on Information Theory"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1038\/9173","article-title":"How voltage-dependent conductances can adapt to maximize the information encoded by neuronal firing rate","volume":"2","author":"M Stemmler","year":"1999","journal-title":"Nat Neurosci"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"1129","DOI":"10.1162\/neco.1995.7.6.1129","article-title":"An information-maximization approach to blind separation and blind deconvolution","volume":"7","author":"AJ Bell","year":"1995","journal-title":"Neural Comput"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1016\/j.neuron.2011.10.018","article-title":"What is optimal about motor control?","volume":"72","author":"K Friston","year":"2011","journal-title":"Neuron"},{"key":"ref41","first-page":"P01014","article-title":"Mutual information via thermodynamics: three different approaches","volume":"Jan","author":"Y Peleg","year":"2010","journal-title":"Journal of Statistical Mechanics: Theory and Experiments"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1103\/PhysRev.106.620","article-title":"Information theory and statistical mechanics","volume":"106","author":"ET Jaynes","year":"1957","journal-title":"Phys Rev"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"27","author":"C Shannon","year":"1948","journal-title":"Bell System Technical Journal"},{"key":"ref44","doi-asserted-by":"crossref","unstructured":"Jaynes ET (2003) Probability theory: the logic of science. Cambridge (United Kingdom): Cambridge University Press.","DOI":"10.1017\/CBO9780511790423"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1088\/0954-898X_3_2_009","article-title":"Could information theory provide an ecological theory of sensory processing?","volume":"3","author":"JJ Atick","year":"1992","journal-title":"Network"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1162\/neco.1989.1.3.412","article-title":"Finding minimum entropy codes","volume":"1","author":"HB Barlow","year":"1989","journal-title":"Neural Computation"},{"key":"ref47","doi-asserted-by":"crossref","first-page":"2366","DOI":"10.1364\/JOSAA.4.002366","article-title":"Human contrast discrimination and the threshold of cortical neurons","volume":"4","author":"HB Barlow","year":"1987","journal-title":"J Opt Soc Am A"},{"key":"ref48","unstructured":"Barlow HB (1959) Sensory mechanisms, the reduction of redundancy, and intelligence. National Physical Laboratory Symposium. Teddington (United Kingdom): H.M. Stationery Office."},{"key":"ref49","doi-asserted-by":"crossref","first-page":"910","DOI":"10.1515\/znc-1981-9-1040","article-title":"A simple coding procedure enhances a neuron&apos;s information capacity","volume":"36","author":"S Laughlin","year":"1981","journal-title":"Z Naturforsch C"},{"key":"ref50","unstructured":"Johnson D (2002) Four top reasons mutual information does not quantify neural information processing. In: Proceedings of the Annual Computational Neuroscience Meeting; 2002; Chicago, Illinois, United States."},{"key":"ref51","unstructured":"Papoulis A (1984) Probability, random variables, and stochastic processes. New York: McGraw-Hill."},{"key":"ref52","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1016\/j.conb.2007.07.009","article-title":"From response to stimulus: adaptive sampling in sensory physiology","volume":"17","author":"J Benda","year":"2007","journal-title":"Curr Opin Neurobiol"},{"key":"ref53","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1162\/neco.1995.7.2.399","article-title":"The upward bias in measures of information derived from limited data samples","volume":"7","author":"A Treves","year":"1995","journal-title":"Neural Comput"},{"key":"ref54","doi-asserted-by":"crossref","first-page":"1480","DOI":"10.1162\/0899766053723032","article-title":"Asymptotic theory of information-theoretic experimental design","volume":"17","author":"L Paninski","year":"2005","journal-title":"Neural Comput"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"1191","DOI":"10.1162\/089976603321780272","article-title":"Estimation of entropy and mutual information","volume":"15","author":"L Paninski","year":"2003","journal-title":"Neural Computation"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/S0165-0173(00)00038-2","article-title":"CNS energy metabolism as related to function","volume":"34","author":"A Ames","year":"2000","journal-title":"Brain Res Brain Res Rev"},{"key":"ref57","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1152\/physrev.1997.77.3.731","article-title":"Cellular energy utilization and molecular origin of standard metabolic rate in mammals","volume":"77","author":"DF Rolfe","year":"1997","journal-title":"Physiol Rev"},{"key":"ref58","unstructured":"Clarke D, Sokoloff L (1999) Circulation and energy metabolism of the brain. In: Siegel GJ, Agranoff BW, Albers RW, Fisher SK, Uhler MD, editors. Basic neurochemistry: molecular, cellular and medical aspects. Philadelphia: Lippincott-Raven. pp. 637\u2013669."},{"key":"ref59","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1097\/00004647-200110000-00001","article-title":"An energy budget for signaling in the grey matter of the brain","volume":"21","author":"D Attwell","year":"2001","journal-title":"J Cereb Blood Flow Metab"},{"key":"ref60","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1016\/S0006-3002(89)80038-1","article-title":"The identification of the sodium-pump as the membrane-bound Na<sup>+<\/sup>\/K<sup>+<\/sup>-ATPase: a commentary on \u2018The Influence of Some Cations on an Adenosine Triphosphatase from Peripheral Nerves\u2019","volume":"1000","author":"JC Skou","year":"1989","journal-title":"Biochim Biophys Acta"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1016\/0006-3002(57)90343-8","article-title":"The influence of some cations on an adenosine triphosphatase from peripheral nerves","volume":"23","author":"JC Skou","year":"1957","journal-title":"Biochim Biophys Acta"},{"key":"ref62","doi-asserted-by":"crossref","first-page":"6530","DOI":"10.1016\/S0021-9258(19)44725-X","article-title":"Activation by adenosine triphosphate in the phosphorylation kinetics of sodium and potassium ion transport adenosine triphosphatase","volume":"247","author":"RL Post","year":"1972","journal-title":"J Biol Chem"},{"key":"ref63","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/S0021-9258(18)51788-9","article-title":"Stoichiometry and localization of adenosine triphosphate-dependent sodium and potassium transport in the erythrocyte","volume":"239","author":"AK Sen","year":"1964","journal-title":"J Biol Chem"},{"key":"ref64","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s00359-004-0571-y","article-title":"Light dependence of oxygen consumption by blowfly eyes recorded with a magnetic diver balance","volume":"191","author":"T Pangrsic","year":"2005","journal-title":"J Comp Physiol A Neuroethol Sens Neural Behav Physiol"},{"key":"ref65","doi-asserted-by":"crossref","first-page":"e116","DOI":"10.1371\/journal.pbio.0050116","article-title":"Fly photoreceptors demonstrate energy-information trade-offs in neural coding","volume":"5","author":"JE Niven","year":"2007","journal-title":"PLoS Biol"},{"key":"ref66","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1016\/S0959-4388(00)00237-3","article-title":"Energy as a constraint on the coding and processing of sensory information","volume":"11","author":"SB Laughlin","year":"2001","journal-title":"Curr Opin Neurobiol"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"1870","DOI":"10.1126\/science.1089662","article-title":"Communication in neuronal networks","volume":"301","author":"SB Laughlin","year":"2003","journal-title":"Science"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1162\/neco.1996.8.3.531","article-title":"Energy efficient neural codes","volume":"8","author":"WB Levy","year":"1996","journal-title":"Neural Comput"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"5176","DOI":"10.1073\/pnas.74.11.5176","article-title":"How to label nerve cells so that they can interconnect in an ordered fashion","volume":"74","author":"C von der Malsburg","year":"1977","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref70","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1038\/nrn3214","article-title":"The economy of brain network organization","volume":"13","author":"E Bullmore","year":"2012","journal-title":"Nat Rev Neurosci"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1038\/nrn2575","article-title":"Complex brain networks: graph theoretical analysis of structural and functional systems","volume":"10","author":"E Bullmore","year":"2009","journal-title":"Nat Rev Neurosci"},{"key":"ref72","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.1162\/089976698300017052","article-title":"Analog versus digital: extrapolating from electronics to neurobiology","volume":"10","author":"R Sarpeshkar","year":"1998","journal-title":"Neural Comp"},{"key":"ref73","doi-asserted-by":"crossref","unstructured":"Sarpeshkar R (2010) Ultra low power bioelectronics: fundamentals, biomedical applications, and bio-inspired systems. Cambridge (United Kingdom): Cambridge University Press.","DOI":"10.1017\/CBO9780511841446"},{"key":"ref74","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1038\/236","article-title":"The metabolic cost of neural information","volume":"1","author":"SB Laughlin","year":"1998","journal-title":"Nat Neurosci"},{"key":"ref75","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1038\/nature01384","article-title":"The contribution of Shaker K<sup>+<\/sup> channels to the information capacity of Drosophila photoreceptors","volume":"421","author":"JE Niven","year":"2003","journal-title":"Nature"},{"key":"ref76","doi-asserted-by":"crossref","first-page":"S58","DOI":"10.1098\/rsbl.2003.0010","article-title":"Shaker K<sup>+<\/sup> channels are predicted to reduce the metabolic cost of neural information in Drosophila photoreceptors","volume":"270 Suppl 1","author":"JE Niven","year":"2003","journal-title":"Proc Biol Sci"},{"key":"ref77","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1038\/nrn1784","article-title":"Neuroenergetics and the kinetic design of excitatory synapses","volume":"6","author":"D Attwell","year":"2005","journal-title":"Nat Rev Neurosci"},{"key":"ref78","doi-asserted-by":"crossref","first-page":"898","DOI":"10.1016\/j.neuron.2009.12.011","article-title":"Sodium entry during action potentials of mammalian neurons: incomplete inactivation and reduced metabolic efficiency in fast-spiking neurons","volume":"64","author":"BC Carter","year":"2009","journal-title":"Neuron"},{"key":"ref79","doi-asserted-by":"crossref","first-page":"12329","DOI":"10.1073\/pnas.0914886107","article-title":"Metabolic cost as a unifying principle governing neuronal biophysics","volume":"107","author":"A Hasenstaub","year":"2010","journal-title":"Proc Natl Acad Sci U S 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Nawroth","year":"2007","journal-title":"J Neurosci"},{"key":"ref84","doi-asserted-by":"crossref","first-page":"1917","DOI":"10.1016\/j.cub.2008.10.029","article-title":"ATP consumption by mammalian rod photoreceptors in darkness and in light","volume":"18","author":"H Okawa","year":"2008","journal-title":"Curr Biol"},{"key":"ref85","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1038\/jcbfm.2009.231","article-title":"The energy use associated with neural computation in the cerebellum","volume":"30","author":"C Howarth","year":"2010","journal-title":"J Cereb Blood Flow Metab"},{"key":"ref86","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1523\/JNEUROSCI.3430-11.2012","article-title":"The energetics of CNS white matter","volume":"32","author":"JJ Harris","year":"2012","journal-title":"J Neurosci"},{"key":"ref87","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1037\/h0054663","article-title":"Some informational aspects of visual perception","volume":"61","author":"F Attneave","year":"1954","journal-title":"Psychol Rev"},{"key":"ref88","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1146\/annurev.neuro.27.070203.144226","article-title":"Maps in the brain: what can we learn from them?","volume":"27","author":"DB Chklovskii","year":"2004","journal-title":"Annu Rev Neurosci"},{"key":"ref89","doi-asserted-by":"crossref","first-page":"2320","DOI":"10.1152\/jn.00280.2007","article-title":"A cost-benefit analysis of neuronal morphology","volume":"99","author":"Q Wen","year":"2008","journal-title":"J Neurophysiol"},{"key":"ref90","doi-asserted-by":"crossref","first-page":"12536","DOI":"10.1073\/pnas.0901530106","article-title":"Maximization of the connectivity repertoire as a statistical principle governing the shapes of dendritic arbors","volume":"106","author":"Q Wen","year":"2009","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref91","doi-asserted-by":"crossref","first-page":"4723","DOI":"10.1073\/pnas.0506806103","article-title":"Wiring optimization can relate neuronal structure and function","volume":"103","author":"BL Chen","year":"2006","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref92","doi-asserted-by":"crossref","first-page":"1237","DOI":"10.1152\/jn.01204.2005","article-title":"Metabolic energy cost of action potential velocity","volume":"96","author":"P Crotty","year":"2006","journal-title":"J Neurophysiol"},{"key":"ref93","first-page":"1204.6481v1","article-title":"Thermodynamics as a theory of decision-making with information processing costs","author":"PA Ortega","year":"2012","journal-title":"ArXiv"},{"key":"ref94","first-page":"475","article-title":"A minimum relative entropy principle for learning and acting","volume":"38","author":"PA Ortega","year":"2010","journal-title":"J Artif Int Res"},{"key":"ref95","doi-asserted-by":"crossref","first-page":"120604","DOI":"10.1103\/PhysRevLett.109.120604","article-title":"Thermodynamics of prediction","volume":"109","author":"S Still","year":"2012","journal-title":"Phys Rev Lett"},{"key":"ref96","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1073\/pnas.17.2.656","article-title":"Proof of the ergodic theorem","volume":"17","author":"GD Birkhoff","year":"1931","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref97","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1146\/annurev.ne.13.030190.001353","article-title":"Perceptual neural organization: some approaches based on network models and information theory","volume":"13","author":"R Linsker","year":"1990","journal-title":"Annu Rev Neurosci"},{"key":"ref98","first-page":"211","article-title":"Sparse bayesian learning and the relevance vector machine","volume":"1","author":"ME Tipping","year":"2001","journal-title":"J Mach Learn Res"},{"key":"ref99","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1038\/nrn2513","article-title":"Why do many psychiatric disorders emerge during adolescence?","volume":"9","author":"T Paus","year":"2008","journal-title":"Nat Rev Neurosci"},{"key":"ref100","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1126\/science.1166673","article-title":"Widespread changes in synaptic markers as a function of sleep and wakefulness in Drosophila","volume":"324","author":"GF Gilestro","year":"2009","journal-title":"Science"},{"key":"ref101","article-title":"The effect of cell size and channel density on neuronal information encoding and energy efficiency","author":"B Sengupta","year":"2013","journal-title":"J Cereb Blood Flow Metab"},{"key":"ref102","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1109\/92.902258","article-title":"The interpretation and application of Rent&apos;s rule","volume":"8","author":"P Christie","year":"2000","journal-title":"IEEE Journal of VLSI"},{"key":"ref103","doi-asserted-by":"crossref","first-page":"e1000748","DOI":"10.1371\/journal.pcbi.1000748","article-title":"Efficient physical embedding of topologically complex information processing networks in brains and computer circuits","volume":"6","author":"DS Bassett","year":"2010","journal-title":"PLoS Comput Biol"},{"key":"ref104","unstructured":"Sengupta B (2011) Information encoding and energy consumption in single neuron models [PhD thesis]. Cambridge (United Kingdom): University of Cambridge."}],"container-title":["PLoS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1003157","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,2]],"date-time":"2022-03-02T04:32:38Z","timestamp":1646195558000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1003157"}},"subtitle":[],"editor":[{"given":"Olaf","family":"Sporns","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2013,7,25]]},"references-count":104,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2013,7,25]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1003157","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7,25]]}}}