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Volumn 39, Issue 3, 2015, Pages 311-327

Firing rate dynamics in recurrent spiking neural networks with intrinsic and network heterogeneity

Author keywords

Dimension reduction; Intrinsic heterogeneity; Leaky integrate and fire; Network heterogeneity; Recurrent E I network

Indexed keywords

CELLULAR NEURAL NETWORKS; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; NEURAL NETWORK MODELS; PROBABILITY DENSITY FUNCTION; RECURRENT NEURAL NETWORKS;

EID: 84947491872     PISSN: 09295313     EISSN: 15736873     Source Type: Journal    
DOI: 10.1007/s10827-015-0578-0     Document Type: Article
Times cited : (14)

References (43)
  • 1
    • 33845394008 scopus 로고    scopus 로고
    • Population density methods for stochastic neurons with realistic synaptic kinetics: firing rate dynamics and fast computational methods
    • Apfaltrer, F., Ly, C., & Tranchina, D. (2006). Population density methods for stochastic neurons with realistic synaptic kinetics: firing rate dynamics and fast computational methods. Network: Computation in Neural Systems, 17, 373–418.
    • (2006) Network: Computation in Neural Systems , vol.17 , pp. 373-418
    • Apfaltrer, F.1    Ly, C.2    Tranchina, D.3
  • 2
    • 0037363001 scopus 로고    scopus 로고
    • Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity
    • PID: 12620157
    • Börgers, C., & Kopell, N. (2003). Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Computation, 15(3), 509–538.
    • (2003) Neural Computation , vol.15 , Issue.3 , pp. 509-538
    • Börgers, C.1    Kopell, N.2
  • 3
    • 35348824287 scopus 로고    scopus 로고
    • Binomial parameters differ across neocortical layers and with different classes of connections in adult rat and cat neocortex
    • COI: 1:CAS:528:DC%2BD2sXhtVSqurnO
    • Bremaud, A., West, D., & Thomson, A. (2007). Binomial parameters differ across neocortical layers and with different classes of connections in adult rat and cat neocortex. Proceedings of the National Academy of Sciences, 104, 14134–14139.
    • (2007) Proceedings of the National Academy of Sciences , vol.104 , pp. 14134-14139
    • Bremaud, A.1    West, D.2    Thomson, A.3
  • 4
    • 84867708981 scopus 로고    scopus 로고
    • Intrinsic heterogeneity in oscillatory dynamics limits correlation-induced neural synchronization
    • PID: 22815400
    • Burton, S., Ermentrout, B., & Urban, N. (2012). Intrinsic heterogeneity in oscillatory dynamics limits correlation-induced neural synchronization. Journal of Neurophysiology, 108, 2115–2133.
    • (2012) Journal of Neurophysiology , vol.108 , pp. 2115-2133
    • Burton, S.1    Ermentrout, B.2    Urban, N.3
  • 6
    • 55849110472 scopus 로고    scopus 로고
    • Efficient coding in heterogeneous neuronal populations
    • COI: 1:CAS:528:DC%2BD1cXhtlSitrnI
    • Chelaru, M., & Dragoi, V. (2008). Efficient coding in heterogeneous neuronal populations. Proceedings of the National Academy of Sciences, 105, 16344–16349.
    • (2008) Proceedings of the National Academy of Sciences , vol.105 , pp. 16344-16349
    • Chelaru, M.1    Dragoi, V.2
  • 7
    • 0001380222 scopus 로고    scopus 로고
    • Phase-locking in weakly heterogeneous neuronal networks
    • Chow, C.C. (1998). Phase-locking in weakly heterogeneous neuronal networks. Physica D.: Nonlinear Phenomena, 118, 343–370.
    • (1998) Physica D.: Nonlinear Phenomena , vol.118 , pp. 343-370
    • Chow, C.C.1
  • 8
    • 84857468750 scopus 로고    scopus 로고
    • Membrane properties and the balance between excitation and inhibition control gamma-frequency oscillations arising from feedback inhibition
    • COI: 1:CAS:528:DC%2BC38XhvFyls70%3D
    • Economo, M.N., & White, J.A. (2012). Membrane properties and the balance between excitation and inhibition control gamma-frequency oscillations arising from feedback inhibition. PLoS Computational Biology, 8(1), e1002,354.
    • (2012) PLoS Computational Biology , vol.8 , Issue.1 , pp. 354
    • Economo, M.N.1    White, J.A.2
  • 9
    • 0042736230 scopus 로고    scopus 로고
    • Population density methods for large-scale modeling of neuronal networks with realistic synaptic kinetics: cutting the dimension down to size
    • COI: 1:STN:280:DC%2BD3Mzkt1Oqsg%3D%3D
    • Haskell, E., Nykamp, D.Q., & Tranchina, D. (2001). Population density methods for large-scale modeling of neuronal networks with realistic synaptic kinetics: cutting the dimension down to size. Network: Computation in Neural Systems, 12, 141–174.
    • (2001) Network: Computation in Neural Systems , vol.12 , pp. 141-174
    • Haskell, E.1    Nykamp, D.Q.2    Tranchina, D.3
  • 10
    • 84863448151 scopus 로고    scopus 로고
    • Heterogeneous connections induce oscillations in large-scale networks
    • Hermann, G., & Touboul, J. (2012). Heterogeneous connections induce oscillations in large-scale networks. Physical Review Letters, 109, 018,702.
    • (2012) Physical Review Letters , vol.109
    • Hermann, G.1    Touboul, J.2
  • 11
    • 84907294669 scopus 로고    scopus 로고
    • Analytical approximations of the firing rate of an adaptive exponential integrate and-fire neuron in the presence of synaptic noise
    • Hertäg, L., Durstewitz, D., & Brunel, N. (2014). Analytical approximations of the firing rate of an adaptive exponential integrate and-fire neuron in the presence of synaptic noise. Frontiers in Computational Neuroscience, 8.
    • (2014) Frontiers in Computational Neuroscience , pp. 8
    • Hertäg, L.1    Durstewitz, D.2    Brunel, N.3
  • 12
    • 84907152571 scopus 로고    scopus 로고
    • The competing benefits of noise and heterogeneity in neural coding
    • PID: 24877735
    • Hunsberger, E., Scott, M., & Eliasmith, C. (2014). The competing benefits of noise and heterogeneity in neural coding. Neural Computation, 26(8), 1600–1623.
    • (2014) Neural Computation , vol.26 , Issue.8 , pp. 1600-1623
    • Hunsberger, E.1    Scott, M.2    Eliasmith, C.3
  • 13
    • 84891856018 scopus 로고    scopus 로고
    • Reliable neuronal systems: the importance of heterogeneity
    • Lengler, J., Jug, F., & Steger, A. (2013). Reliable neuronal systems: the importance of heterogeneity. PloS One, 8(12), e80,694.
    • (2013) PloS One , vol.8 , Issue.12
    • Lengler, J.1    Jug, F.2    Steger, A.3
  • 14
    • 84859768155 scopus 로고    scopus 로고
    • Spatial profile of excitatory and inhibitory synaptic connectivity in mouse primary auditory cortex
    • COI: 1:CAS:528:DC%2BC38Xms1aku7s%3D, PID: 22514322
    • Levy, R.B., & Reyes, A.D. (2012). Spatial profile of excitatory and inhibitory synaptic connectivity in mouse primary auditory cortex. The Journal of Neuroscience, 32(16), 5609–5619.
    • (2012) The Journal of Neuroscience , vol.32 , Issue.16 , pp. 5609-5619
    • Levy, R.B.1    Reyes, A.D.2
  • 15
    • 84887339838 scopus 로고    scopus 로고
    • A principled dimension reduction method for the population density approach to modeling networks of neurons with synaptic dynamics
    • PID: 23777517
    • Ly, C. (2013). A principled dimension reduction method for the population density approach to modeling networks of neurons with synaptic dynamics. Neural Computation, 25, 2682–2708.
    • (2013) Neural Computation , vol.25 , pp. 2682-2708
    • Ly, C.1
  • 16
    • 84920875795 scopus 로고    scopus 로고
    • Dynamics of coupled noisy neural oscillators with heterogeneous phase resetting curves
    • Ly, C. (2014). Dynamics of coupled noisy neural oscillators with heterogeneous phase resetting curves. SIAM Journal on Applied Dynamical Systems, 13, 1733–1755.
    • (2014) SIAM Journal on Applied Dynamical Systems , vol.13 , pp. 1733-1755
    • Ly, C.1
  • 17
    • 66249117496 scopus 로고    scopus 로고
    • Spike train statistics and dynamics with synaptic input from any renewal process: a population density approach
    • PID: 19431264
    • Ly, C., & Tranchina, D. (2009). Spike train statistics and dynamics with synaptic input from any renewal process: a population density approach. Neural Computation, 21, 360–396. doi:10.1162/neco.2008.03-08-743.
    • (2009) Neural Computation , vol.21 , pp. 360-396
    • Ly, C.1    Tranchina, D.2
  • 18
    • 85087246512 scopus 로고    scopus 로고
    • Cellular and circuit mechanisms maintain low spike co-variability and enhance population coding in somatosensory cortex
    • Ly, C., Middleton, J., & Doiron, B. (2012). Cellular and circuit mechanisms maintain low spike co-variability and enhance population coding in somatosensory cortex. Frontiers in Computational Neuroscience, 6, 1–26. doi:10.3389/fncom.2012.00007.
    • (2012) Frontiers in Computational Neuroscience , vol.6 , pp. 1-26
    • Ly, C.1    Middleton, J.2    Doiron, B.3
  • 19
    • 80053141839 scopus 로고    scopus 로고
    • Variability, compensation, and modulation in neurons and circuits
    • COI: 1:CAS:528:DC%2BC3MXht1CisLfP
    • Marder, E. (2011). Variability, compensation, and modulation in neurons and circuits. Proceedings of the National Academy of Sciences, 108, 15542–15548.
    • (2011) Proceedings of the National Academy of Sciences , vol.108 , pp. 15542-15548
    • Marder, E.1
  • 20
    • 33745712893 scopus 로고    scopus 로고
    • Variability, compensation and homeostasis in neuron and network function
    • COI: 1:CAS:528:DC%2BD28XmtVSgtrs%3D, PID: 16791145
    • Marder, E., & Goaillard, J. (2006). Variability, compensation and homeostasis in neuron and network function. Nature Reviews Neuroscience, 7, 563–574.
    • (2006) Nature Reviews Neuroscience , vol.7 , pp. 563-574
    • Marder, E.1    Goaillard, J.2
  • 21
    • 1842333229 scopus 로고    scopus 로고
    • Physiology and anatomy of synaptic connections between thick tufted pyramidal neurones in the developing rat neocortex
    • COI: 1:CAS:528:DyaK2sXjtVWqsr8%3D, PID: 9147328
    • Markram, H., Lübke, J., Frotscher, M., Roth, A., & Sakmann, B. (1997). Physiology and anatomy of synaptic connections between thick tufted pyramidal neurones in the developing rat neocortex. The Journal of Physiology, 500, 409.
    • (1997) The Journal of Physiology , vol.500 , pp. 409
    • Markram, H.1    Lübke, J.2    Frotscher, M.3    Roth, A.4    Sakmann, B.5
  • 22
    • 78049503658 scopus 로고    scopus 로고
    • Neural heterogeneity and efficient population codes for communication signals
    • PID: 20631220
    • Marsat, G., & Maler, L. (2010). Neural heterogeneity and efficient population codes for communication signals. Journal of Neurophysiology, 104, 2543–2555.
    • (2010) Journal of Neurophysiology , vol.104 , pp. 2543-2555
    • Marsat, G.1    Maler, L.2
  • 23
    • 84861834038 scopus 로고    scopus 로고
    • Optimal heterogeneity for coding in spiking neural networks. Physical Review Letters, 108
    • Mejias, J., & Longtin, A. (2012). Optimal heterogeneity for coding in spiking neural networks. Physical Review Letters, 108, 228102-1–228102-5.
    • (2012) 228102-1–228102-5
    • Mejias, J.1    Longtin, A.2
  • 24
    • 84907154030 scopus 로고    scopus 로고
    • Differential effects of excitatory and inhibitory heterogeneity on the gain and asynchronous state of sparse cortical networks
    • Mejias, J., & Longtin, A. (2014). Differential effects of excitatory and inhibitory heterogeneity on the gain and asynchronous state of sparse cortical networks. Frontiers in Computational Neuroscience, 8.
    • (2014) Frontiers in Computational Neuroscience , pp. 8
    • Mejias, J.1    Longtin, A.2
  • 25
    • 84884693928 scopus 로고    scopus 로고
    • Learning contrast-invariant cancellation of redundant signals in neural systems
    • COI: 1:CAS:528:DC%2BC3sXhsFOjsr7L
    • Mejias, J.F., Marsat, G., Bol, K., Maler, L., & Longtin, A. (2013). Learning contrast-invariant cancellation of redundant signals in neural systems. PLoS Computational Biology, 9(9), e1003,180.
    • (2013) PLoS Computational Biology , vol.9 , Issue.9
    • Mejias, J.F.1    Marsat, G.2    Bol, K.3    Maler, L.4    Longtin, A.5
  • 27
    • 32644485094 scopus 로고    scopus 로고
    • Auto- and crosscorrelograms for the spike response of leaky integrate-and-fire neurons with slow synapses
    • Moreno-Bote, R., & Parga, N. (2006). Auto- and crosscorrelograms for the spike response of leaky integrate-and-fire neurons with slow synapses. Physical Review Letters, 96, 028,101.
    • (2006) Physical Review Letters , vol.96
    • Moreno-Bote, R.1    Parga, N.2
  • 28
    • 51349100401 scopus 로고    scopus 로고
    • Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation
    • PID: 18427966
    • Nesse, W.H., Borisyuk, A., & Bressloff, P. (2008). Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation. Journal of Computational Neuroscience, 25, 317–333.
    • (2008) Journal of Computational Neuroscience , vol.25 , pp. 317-333
    • Nesse, W.H.1    Borisyuk, A.2    Bressloff, P.3
  • 29
    • 84946094246 scopus 로고    scopus 로고
    • Nicola, W., Ly, C., & Campbell, S.A. (2015). One-dimensional population density approaches to recurrently coupled networks of neurons with noise. SIAM Journal on Applied Mathematics (in press)
    • Nicola, W., Ly, C., & Campbell, S.A. (2015). One-dimensional population density approaches to recurrently coupled networks of neurons with noise. SIAM Journal on Applied Mathematics (in press).
  • 30
    • 0035289566 scopus 로고    scopus 로고
    • A population density approach that facilitates large-scale modeling of neural networks: extension to slow inhibitory synapses
    • COI: 1:STN:280:DC%2BD3M3jsFWrsA%3D%3D, PID: 11244554
    • Nykamp, D., & Tranchina, D. (2001). A population density approach that facilitates large-scale modeling of neural networks: extension to slow inhibitory synapses. Neural Computation, 13, 511–546.
    • (2001) Neural Computation , vol.13 , pp. 511-546
    • Nykamp, D.1    Tranchina, D.2
  • 31
    • 84897033914 scopus 로고    scopus 로고
    • Two types of asynchronous activity in networks of excitatory and inhibitory spiking neurons
    • COI: 1:CAS:528:DC%2BC2cXivFagtb8%3D, PID: 24561997
    • Ostojic, S. (2014). Two types of asynchronous activity in networks of excitatory and inhibitory spiking neurons. Nature Neuroscience, 17, 594–600.
    • (2014) Nature Neuroscience , vol.17 , pp. 594-600
    • Ostojic, S.1
  • 32
    • 65049085545 scopus 로고    scopus 로고
    • Synchronization properties of networks of electrically coupled neurons in the presence of noise and heterogeneities
    • PID: 19034642
    • Ostojic, S., Brunel, N., & Hakim, V. (2009). Synchronization properties of networks of electrically coupled neurons in the presence of noise and heterogeneities. Journal of Computational Neuroscience, 26(3), 369–392.
    • (2009) Journal of Computational Neuroscience , vol.26 , Issue.3 , pp. 369-392
    • Ostojic, S.1    Brunel, N.2    Hakim, V.3
  • 33
    • 69049097116 scopus 로고    scopus 로고
    • Spatial profile and differential recruitment of gabab modulate oscillatory activity in auditory cortex
    • COI: 1:CAS:528:DC%2BD1MXhtVKqt7bE, PID: 19692606
    • Oswald, A., Doiron, B., Rinzel, J., & Reyes, A. (2009). Spatial profile and differential recruitment of gabab modulate oscillatory activity in auditory cortex. The Journal of Neuroscience, 29, 10321–10334.
    • (2009) The Journal of Neuroscience , vol.29 , pp. 10321-10334
    • Oswald, A.1    Doiron, B.2    Rinzel, J.3    Reyes, A.4
  • 34
    • 77957267964 scopus 로고    scopus 로고
    • Intrinsic biophysical diversity decorrelates neuronal firing while increasing information content
    • COI: 1:CAS:528:DC%2BC3cXhtVyiu7%2FF, PID: 20802489
    • Padmanabhan, K., & Urban, N. (2010). Intrinsic biophysical diversity decorrelates neuronal firing while increasing information content. Nature Neuroscience, 13, 1276–1282.
    • (2010) Nature Neuroscience , vol.13 , pp. 1276-1282
    • Padmanabhan, K.1    Urban, N.2
  • 35
    • 0038673366 scopus 로고    scopus 로고
    • Variable properties in a single class of excitatory spinal synapse
    • COI: 1:CAS:528:DC%2BD3sXjsFSksb4%3D, PID: 12716923
    • Parker, D. (2003). Variable properties in a single class of excitatory spinal synapse. The Journal of Neuroscience, 23(8), 3154–3163.
    • (2003) The Journal of Neuroscience , vol.23 , Issue.8 , pp. 3154-3163
    • Parker, D.1
  • 37
    • 84908498429 scopus 로고    scopus 로고
    • Attention can either increase or decrease spike count correlations in visual cortex
    • COI: 1:CAS:528:DC%2BC2cXhslelsLbL, PID: 25306550
    • Ruff, D.A., & Cohen, M.R. (2014). Attention can either increase or decrease spike count correlations in visual cortex. Nature Neuroscience, 17(11), 1591–1597.
    • (2014) Nature Neuroscience , vol.17 , Issue.11 , pp. 1591-1597
    • Ruff, D.A.1    Cohen, M.R.2
  • 38
    • 33745808854 scopus 로고    scopus 로고
    • Implications of neuronal diversity on population coding
    • PID: 16771659
    • Shamir, M., & Sompolinsky, H. (2006). Implications of neuronal diversity on population coding. Neural Computation, 18, 1951–1986.
    • (2006) Neural Computation , vol.18 , pp. 1951-1986
    • Shamir, M.1    Sompolinsky, H.2
  • 39
    • 1542499302 scopus 로고
    • Stability of incoherence in a population of coupled oscillators
    • Strogatz, S.H., & Mirollo, R.E. (1991). Stability of incoherence in a population of coupled oscillators. Journal of Statistical Physics, 63, 613–635.
    • (1991) Journal of Statistical Physics , vol.63 , pp. 613-635
    • Strogatz, S.H.1    Mirollo, R.E.2
  • 41
    • 77955629291 scopus 로고    scopus 로고
    • Neurophysiological and computational principles of cortical rhythms in cognition
    • PID: 20664082
    • Wang, X.J. (2010). Neurophysiological and computational principles of cortical rhythms in cognition. Physiological Reviews, 90, 1195–1268.
    • (2010) Physiological Reviews , vol.90 , pp. 1195-1268
    • Wang, X.J.1
  • 42
    • 84904976730 scopus 로고    scopus 로고
    • Equalizing excitation-inhibition ratios across visual cortical neurons
    • COI: 1:CAS:528:DC%2BC2cXht1ChurnP, PID: 25043046
    • Xue, M., Atallah, B.V., & Scanziani, M. (2014). Equalizing excitation-inhibition ratios across visual cortical neurons. Nature, 511, 596–600.
    • (2014) Nature , vol.511 , pp. 596-600
    • Xue, M.1    Atallah, B.V.2    Scanziani, M.3
  • 43
    • 84875538180 scopus 로고    scopus 로고
    • Impact of intrinsic biophysical diversity on the activity of spiking neurons
    • Yim, M., Aertsen, A., & Rotter, S. (2013). Impact of intrinsic biophysical diversity on the activity of spiking neurons. Physical Review E, 87, 032710.
    • (2013) Physical Review E , vol.87 , pp. 032710
    • Yim, M.1    Aertsen, A.2    Rotter, S.3


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