Citation Relationships



Ju H, Hines ML, Yu Y (2016) Cable energy function of cortical axons. Sci Rep 6:29686[PubMed]

References and models cited by this paper

References and models that cite this paper

Metabolic and hemodynamic events after changes in neuronal activity: current hypotheses, theoretical predictions and in vivo NMR experimental findings. J Cereb Blood Flow Metab 29:441-63 [PubMed]

Acebes A, Ferrus A (2000) Cellular and molecular features of axon collaterals and dendrites. Trends Neurosci 23:557-65 [PubMed]

Aiello L, Wheeler P (1995) The expensive-tissue hypothesis: the brain and the digestive system in human and primate evolution Curr Anthropol 36:199-221

Alle H, Roth A, Geiger JR (2009) Energy-efficient action potentials in hippocampal mossy fibers. Science 325:1405-8 [Journal] [PubMed]

   Action potential reconstitution from measured current waveforms (Alle et al. 2009) [Model]

Attwell D, Laughlin SB (2001) An energy budget for signaling in the grey matter of the brain. J Cereb Blood Flow Metab 21:1133-45 [PubMed]

Balduzzi D,Ortega PA,Besserve M (2013) Metabolic Cost as an Organizing Principle for Cooperative Learning Advances in Complex Systems 16:1350012

Brown JH,Gillooly JF,Allen AP,Savage VM,West GB (2004) Toward A Metabolic Theory of Ecology Ecology 85:1771-1789

Carter BC, Bean BP (2009) Sodium entry during action potentials of mammalian neurons: incomplete inactivation and reduced metabolic efficiency in fast-spiking neurons. Neuron 64:898-909 [PubMed]

Crotty P, Sangrey T, Levy WB (2006) Metabolic energy cost of action potential velocity. J Neurophysiol 96:1237-46 [Journal] [PubMed]

Debanne D, Campanac E, Bialowas A, Carlier E, Alcaraz G (2011) Axon physiology. Physiol Rev 91:555-602 [Journal] [PubMed]

Faisal AA, White JA, Laughlin SB (2005) Ion-channel noise places limits on the miniaturization of the brain's wiring. Curr Biol 15:1143-9 [PubMed]

Gabbiani F, Cox SJ (2010) Mathematics for Neuroscientists :1-486 [Journal]

   Mathematics for Neuroscientists (Gabbiani and Cox 2010) [Model]

Gillooly JF, Brown JH, West GB, Savage VM, Charnov EL (2001) Effects of size and temperature on metabolic rate. Science 293:2248-51 [Journal] [PubMed]

Glazier DS (2005) Beyond the '3/4-power law': variation in the intra- and interspecific scaling of metabolic rate in animals. Biol Rev Camb Philos Soc 80:611-62 [Journal] [PubMed]

Goldstein SS, Rall W (1974) Changes of action potential shape and velocity for changing core conductor geometry. Biophys J 14:731-57 [PubMed]

Grossman Y, Parnas I, Spira ME (1979) Differential conduction block in branches of a bifurcating axon. J Physiol 295:283-305 [PubMed]

Grossman Y, Parnas I, Spira ME (1979) Mechanisms involved in differential conduction of potentials at high frequency in a branching axon. J Physiol 295:307-22 [PubMed]

Hallermann S, de Kock CP, Stuart GJ, Kole MH (2012) State and location dependence of action potential metabolic cost in cortical pyramidal neurons Nat Neurosci. 15(7):1007-14 [Journal] [PubMed]

   State and location dependence of action potential metabolic cost (Hallermann et al., 2012) [Model]

Harris JJ, Attwell D (2012) The energetics of CNS white matter. J Neurosci 32:356-71 [PubMed]

Hasenstaub A, Otte S, Callaway E, Sejnowski TJ (2010) Metabolic cost as a unifying principle governing neuronal biophysics. Proc Natl Acad Sci U S A 107:12329-34 [PubMed]

Hemmingsen AM (1950) The relation of standard (basal) energy metabolism to total fresh weight of living organisms Rep. Steno Mem. Hosp. (Copenhagen) 4:1-58

Herculano-Houzel S (2011) Scaling of brain metabolism with a fixed energy budget per neuron: implications for neuronal activity, plasticity and evolution. PLoS One 6:e17514 [PubMed]

Hesse J, Schreiber S (2015) Externalization of neuronal somata as an evolutionary strategy for energy economization. Curr Biol 25:R324-5 [Journal] [PubMed]

Hodgkin A (1975) The optimum density of sodium channels in an unmyelinated nerve. Philos Trans R Soc Lond B Biol Sci 270:297-300 [PubMed]

Howarth C, Gleeson P, Attwell D (2012) Updated energy budgets for neural computation in the neocortex and cerebellum. J Cereb Blood Flow Metab 32:1222-32 [Journal] [PubMed]

Hu H, Jonas P (2014) A supercritical density of Na(+) channels ensures fast signaling in GABAergic interneuron axons. Nat Neurosci 17:686-93 [Journal] [PubMed]

Johnston D, Wu SMS (1995) Foundations of Cellular Neurophysiology with simulations and illustrations by Richard Gray Foundations of Cellular Neurophysiology

Kann O (2011) The energy demand of fast neuronal network oscillations: insights from brain slice preparations. Front Pharmacol 2:90 [Journal] [PubMed]

Karbowski J (2009) Thermodynamic constraints on neural dimensions, firing rates, brain temperature and size. J Comput Neurosci 27:415-36 [PubMed]

Kety SS (1957) Metabolism of the Nervous System, Richter D, ed. pp.221

KLEIBER M (1947) Body size and metabolic rate. Physiol Rev 27:511-41 [PubMed]

Kole MH, Ilschner SU, Kampa BM, Williams SR, Ruben PC, Stuart GJ (2008) Action potential generation requires a high sodium channel density in the axon initial segment. Nat Neurosci 11:178-86 [Journal] [PubMed]

   Na+ channel dependence of AP initiation in cortical pyramidal neuron (Kole et al. 2008) [Model]

Kostal L, Lansky P, McDonnell MD (2013) Metabolic cost of neuronal information in an empirical stimulus-response model. Biol Cybern 107:355-65 [Journal] [PubMed]

Laughlin SB (2001) Energy as a constraint on the coding and processing of sensory information. Curr Opin Neurobiol 11:475-80 [PubMed]

Lennie P (2003) The cost of cortical computation. Curr Biol 13:493-7 [PubMed]

Levy WB, Baxter RA (1996) Energy efficient neural codes. Neural Comput 8:531-43 [PubMed]

Lewis JE, Gilmour KM, Moorhead MJ, Perry SF, Markham MR (2014) Action potential energetics at the organismal level reveal a trade-off in efficiency at high firing rates. J Neurosci 34:197-201 [Journal] [PubMed]

Logothetis NK (2008) What we can do and what we cannot do with fMRI. Nature 453:869-78 [PubMed]

Magistretti PJ, Allaman I (2015) A cellular perspective on brain energy metabolism and functional imaging. Neuron 86:883-901 [Journal] [PubMed]

Maia PD, Kutz JN (2014) Identifying critical regions for spike propagation in axon segments. J Comput Neurosci 36:141-55 [Journal] [PubMed]

Martin RD (1981) Relative brain size and basal metabolic rate in terrestrial vertebrates. Nature 293:57-60 [PubMed]

McCormick DA, Shu Y, Yu Y (2007) Hodgkin and Huxley model still standing? Nature 445:E1-E2 [Journal] [PubMed]

   AP back-prop. explains threshold variability and rapid rise (McCormick et al. 2007, Yu et al. 2008) [Model]

Moujahid A, d'Anjou A (2012) Metabolic efficiency with fast spiking in the squid axon. Front Comput Neurosci 6:95 [Journal] [PubMed]

Moujahid A, D'Anjou A, GraƱa M (2014) Energy demands of diverse spiking cells from the neocortex, hippocampus, and thalamus. Front Comput Neurosci 8:41 [Journal] [PubMed]

Moujahid A, d'Anjou A, Torrealdea FJ, Torrealdea F (2011) Energy and information in Hodgkin-Huxley neurons. Phys Rev E Stat Nonlin Soft Matter Phys 83:031912 [Journal] [PubMed]

Niven JE, Anderson JC, Laughlin SB (2007) Fly photoreceptors demonstrate energy-information trade-offs in neural coding. PLoS Biol 5:e116 [PubMed]

Parnas I, Segev I (1979) A mathematical model for conduction of action potentials along bifurcating axons. J Physiol 295:323-43 [PubMed]

Pissadaki EK, Bolam JP (2013) The energy cost of action potential propagation in dopamine neurons: clues to susceptibility in Parkinson's disease. Front Comput Neurosci 7:13 [Journal] [PubMed]

RALL W (1959) Branching dendritic trees and motoneuron membrane resistivity. Exp Neurol 1:491-527 [PubMed]

RALL W (1962) Theory of physiological properties of dendrites. Ann N Y Acad Sci 96:1071-92 [PubMed]

Rall W (1989) Cable theory for dendritic neurons Methods In Neuronal Modeling: From Synapses To Networks, Koch C:Segev I, ed. pp.9

Rolfe DF, Brown GC (1997) Cellular energy utilization and molecular origin of standard metabolic rate in mammals. Physiol Rev 77:731-58 [PubMed]

Schmidt-Hieber C, Bischofberger J (2010) Fast Sodium Channel Gating Supports Localized and Efficient Axonal Action Potential Initiation J. Neurosci. 30(30):10233-10242 [Journal] [PubMed]

   Fast sodium channel gating in mossy fiber axons (Schmidt-Hieber et al. 2010) [Model]

Scogland T,et al (2015) Node variability in large-scale power measurements: perspectives from the Green500, Top500 and EEHPCWG Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (ACM)

Sengupta B, Faisal AA, Laughlin SB, Niven JE (2013) The effect of cell size and channel density on neuronal information encoding and energy efficiency. J Cereb Blood Flow Metab 33:1465-73 [Journal] [PubMed]

Sengupta B, Stemmler M, Laughlin SB, Niven JE (2010) Action potential energy efficiency varies among neuron types in vertebrates and invertebrates. PLoS Comput Biol 6:e1000840 [PubMed]

Shu Y, Duque A, Yu Y, Haider B, McCormick DA (2007) Properties of action-potential initiation in neocortical pyramidal cells: evidence from whole cell axon recordings. J Neurophysiol 97:746-60 [Journal] [PubMed]

   Intracortical synaptic potential modulation by presynaptic somatic potential (Shu et al. 2006, 2007) [Model]

Shu Y, Hasenstaub A, Duque A, Yu Y, McCormick DA (2006) Modulation of intracortical synaptic potentials by presynaptic somatic membrane potential. Nature 441:761-5 [Journal] [PubMed]

   Intracortical synaptic potential modulation by presynaptic somatic potential (Shu et al. 2006, 2007) [Model]

Shu Y, Yu Y, Yang J, McCormick DA (2007) Selective control of cortical axonal spikes by a slowly inactivating K+ current. Proc Natl Acad Sci U S A 104:11453-8 [Journal] [PubMed]

   Selective control of cortical axonal spikes by a slowly inactivating K+ current (Shu et al. 2007) [Model]

Sokoloff L (1960) Section I, Neurophysiology Handbook of Physiology 3:1843-1864

Tomasi D, Wang GJ, Volkow ND (2013) Energetic cost of brain functional connectivity. Proc Natl Acad Sci U S A 110:13642-7 [Journal] [PubMed]

West GB, Brown JH, Enquist BJ (1997) A general model for the origin of allometric scaling laws in biology. Science 276:122-6 [PubMed]

Westerfield M, Joyner RW, Moore JW (1978) Temperature-sensitive conduction failure at axon branch points. J Neurophysiol 41:1-8 [Journal] [PubMed]

   Temperature-Sensitive conduction at axon branch points (Westerfield et al 1978) [Model]

White CR, Seymour RS (2005) Allometric scaling of mammalian metabolism. J Exp Biol 208:1611-9 [Journal] [PubMed]

Yu Y, Hill AP, McCormick DA (2012) Warm body temperature facilitates energy efficient cortical action potentials. PLoS Comput Biol 8:e1002456 [Journal] [PubMed]

Yu Y, Shu Y, McCormick DA (2008) Cortical action potential backpropagation explains spike threshold variability and rapid-onset kinetics. J Neurosci 28:7260-72 [Journal] [PubMed]

   AP back-prop. explains threshold variability and rapid rise (McCormick et al. 2007, Yu et al. 2008) [Model]

(66 refs)