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http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53707#.VNBqASzQrzE
Author(s)
Ning Ning1, Guoqi Li2*, Wei He1, Kejie Huang4, Li Pan1, Kiruthika Ramanathan1, Rong Zhao4, Luping Shi3
Affiliation(s)
1Data Storage Institute, Agency for Science, Technology and Research, Singapore.
2Department of Precision Instrument, Tsinghua University, Beijing, China.
3Brain-Inspired Computing Research Center, Tsinghua University, Beijing, China.
4Singapore University of Technology and Design, Dover, Singapore.
2Department of Precision Instrument, Tsinghua University, Beijing, China.
3Brain-Inspired Computing Research Center, Tsinghua University, Beijing, China.
4Singapore University of Technology and Design, Dover, Singapore.
ABSTRACT
Neurons
are believed to be the brain computational engines of the brain. A
recent discovery in neurophysiology reveals that interneurons can slowly
integrate spiking, share the output across a coupled network of axons
and respond with persistent firing even in the absence of input to the
soma or dendrites, which has not been understood and could be very
important for exploring the mechanism of human cognition. The
conventional models are incapable of simulating the important
newly-discovered phenomenon of persistent firing induced by axonal slow
integration. In this paper, we propose a computationally efficient model
of neurons through modeling the axon as a slow leaky integrator, which
captures almost all-known neural behaviors. The model controls the
switching of axonal firing dynamics between passive conduction mode and
persistent firing mode. The interplay between the axonal integrated
potential and its multiple thresholds in axon precisely determines the
persistent firing dynamics of neurons. We also present a persistent
firing polychronous spiking network which exhibits asynchronous dynamics
indicating that this computationally efficient model is not only
bio-plausible, but also suitable for large scale spiking network
simulations. The implications of this network and the analog circuit
design for exploring the relationship between working memory and
persistent firing enable developing a spiking network-based memory and
bio-inspired computer systems.
KEYWORDS
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References
Ning,
N. , Li, G. , He, W. , Huang, K. , Pan, L. , Ramanathan, K. , Zhao, R.
and Shi, L. (2015) Modeling Neuromorphic Persistent Firing Networks. International Journal of Intelligence Science, 5, 89-101. doi: 10.4236/ijis.2015.52009.
| [1] | Lapicque, L. (1907) Recherches quantitatives sur l’excitation electrique des nerfs traitee comme une polarization. Journal of Physiol Pathol Générale, 9, 620-635. |
| [2] | Sandberg, A. and Bostrom, N. (2008) Whole Brain Emulation: A Roadmap. Future of Humanity Institute, Oxford University, Technical Report #2008-3. |
| [3] | Hodgkin,
A.L. and Huxley, A.F. (1952) A Quantitative Description of Membrane
Current and Its Application to Conduction and Excitation in Nerve. The
Journal of Physiology, 117, 500-544. http://dx.doi.org/10.1113/jphysiol.1952.sp004764 |
| [4] | Brette,
R., Rudolph, M., Carnevale, T., Hines, M., Beeman, D., Bower, J.M.,
Diesmann, M., Morrison, A., Goodman, P.H., Harris Jr., F.C, et al.
(2007) Simulation of Networks of Spiking Neurons: A Review of Tools and
Strategies. Journal of Computational Neuroscience, 23, 349-398. http://dx.doi.org/10.1007/s10827-007-0038-6 |
| [5] | Mihalas,
S. and Niebur, E. (2009) A Generalized Linear Integrate-and-Fire Neural
Model Produces Diverse Spiking Behaviors. Neural Computation, 21,
704-718. http://dx.doi.org/10.1162/neco.2008.12-07-680 |
| [6] | Fitzhugh, R. (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophysical Journal, 1, 445-466. http://dx.doi.org/10.1016/S0006-3495(61)86902-6 |
| [7] | Morris, C. and Lecar, H. (1981) Voltage Oscillations in the Barnacle Giant Muscle Fiber. Biophysical Journal, 35, 193-213. http://dx.doi.org/10.1016/S0006-3495(81)84782-0 |
| [8] | Rose,
R.M. and Hindmarsh, J.L. (1989) The Assembly of Ionic Currents in a
Thalamic Neuron I. The Three-Dimensional Model. Proceedings of the Royal
Society of London. Series B. Biological Sciences, 237, 267-288. http://dx.doi.org/10.1098/rspb.1989.0049 |
| [9] | Wilson,
H.R. (1999) Simplified Dynamics of Human and Mammalian Neocortical
Neurons. Journal of Theoretical Biology, 200, 375-388. http://dx.doi.org/10.1006/jtbi.1999.1002 |
| [10] | Izhikevich, E.M. (2001) Resonate-and-Fire Neurons. Neural Networks, 14, 883-894. http://dx.doi.org/10.1016/S0893-6080(01)00078-8 |
| [11] | Izhikevich, E.M. (2003) Simple Model of Spiking Neurons. IEEE Transactions on Neural Networks, 14, 1569-1572. http://dx.doi.org/10.1109/TNN.2003.820440 |
| [12] | Sheffield,
M.E.J., Best, T.K., Mensh, B.D., Kath, W.L. and Spruston, N. (2011)
Slow Integration Leads to Persistent Action Potential Firing in Distal
Axons of Coupled Interneurons. Nature Neuroscience, 14, 200-207. http://dx.doi.org/10.1038/nn.2728 |
| [13] | Izhikevich, E.M. (2006) Polychronization: Computation with Spikes. Neural Computation, 18, 245-282. http://dx.doi.org/10.1162/089976606775093882 |
| [14] | Ning,
N., Yi, K.J., Huang, K.J. and Shi, L.P. (2011) Axonal Slow Integration
Induced Persistent Firing Neuron Model. Lecture Notes in Computer
Science, 7062, 469-476. http://dx.doi.org/10.1007/978-3-642-24955-6_56 |
| [15] | Izhikevich, E.M. (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting. The MIT Press, Cambridge. |
| [16] | Wijekoon,
J.H. and Dudek, P. (2008) Compact Silicon Neuron Circuit with Spiking
and Bursting Behaviour. Neural Networks, 21, 524-534. http://dx.doi.org/10.1016/j.neunet.2007.12.037 |
| [17] | Wijekoon, J.H. and Dudek, P. (2008) Integrated Circuit Implementation of a Cortical Neuron. Proceedings of the IEEE International Symposium on Circuits and Systems, Seattle, 18-21 May 2008, 1784-1787. |
| [18] | Swadlow, H.A. (1985) Physiological Properties of Individual Cerebral Axons Studied in Vivo for as Long as One Year. Journal of Neurophysiology, 54, 1346-1362. |
| [19] | Song,
S., Miller, K.D. and Abbott, L.F. (2000) Competitive Hebbian Learning
through Spike-Timing-Dependent Synaptic Plasticity. Nature Neuroscience,
3, 919-926. http://dx.doi.org/10.1038/78829 |
| [20] | Bartos,
M., Vida, I. and Jonas, P. (2007) Synaptic Mechanisms of Synchronized
Gamma Oscillations in Inhibitory Interneuron Networks. Nature Reviews
Neuroscience, 8, 45-56. http://dx.doi.org/10.1038/nrn2044 |
| [21] | Baddeley, A. (1992) Working Memory. Science, 255, 556-559. http://dx.doi.org/10.1126/science.1736359 |
| [22] | Durstewitz,
D., Seamans, J.K. and Sejnowski, T.J. (2000) Neurocomputational Models
of Working Memory. Nature Neuroscience, 3, 1184-1191. http://dx.doi.org/10.1038/81460 |
| [23] | Egorov,
A.V., Hamam, B.N., Fransen, E., Hasselmo, M.E. and Alonso, A.A. (2002)
Graded Persistent Activity in Entorhinal Cortex Neurons. Nature, 420,
173-178. http://dx.doi.org/10.1038/nature01171 |
| [24] | Miller,
G.A. (1956) The Magical Number Seven, Plus or Minus Two: Some Limits on
Our Capacity for Processing Information. Psychological Review, 63,
81-97. http://dx.doi.org/10.1037/h0043158 |
| [25] | D’Esposito,
M., Detre, J.A., Alsop, D.C., Shin, R.K., Atlas, S. and Grossman, M.
(1995) The Neural Basis of the Central Executive System of Working
Memory. Nature, 378, 279-281. http://dx.doi.org/10.1038/378279a0 |
| [26] | Goldman-Rakic, P.S. (1995) Cellular Basis of Working Memory. Neuron, 14, 477-485. http://dx.doi.org/10.1016/0896-6273(95)90304-6 |
| [27] | Miller, E.K., Erickson, C.A. and Desimone, R. (1996) Neural Mechanisms of Visual Working Memory in Prefrontal Cortex of the Macaque. The Journal of Neuroscience, 16, 5154-5167. |
| [28] | Amit,
D. and Mongillo, G. (2003) Spike-Driven Synaptic Dynamics Generating
Working Memory States. Neural Computation, 15, 565-596. http://dx.doi.org/10.1162/089976603321192086 |
| [29] | O’Reilly,
R.C. and Frank, M.J. (2006) Making Working Memory Work: A Computational
Model of Learning in the Prefrontal Cortex and Basal Ganglia. Neural
Computation, 18, 283-328. http://dx.doi.org/10.1162/089976606775093909 |
| [30] | Szatmary, B. and Izhikevich, E.M. (2010) Spike-Timing Theory of Working Memory. PLoS Computational Biology, 6, e1000879. http://dx.doi.org/10.1371/journal.pcbi.1000879 |
| [31] | Ramanathan, K., Ning, N., Dhanasekar, D., Li, G., Shi, L.P. and Vadakkepat, P. (2012) Presynaptic Learning and Memory with a Persistent Firing Neuron and a Habituating Synapse: A Model of Short Term Persistent Habituation. International Journal of Neural Systems, 22, Article ID: 1250015. http://dx.doi.org/10.1142/S0129065712500153 |
| [32] | Shi,
L.P., Yi, K.J., Ramanathan, K., Zhao, R., Ning, N., Ding, D. and Chong,
T.C. (2011) Artificial Cognitive Memory—Changing from Density Driven to
Functionality Driven. Applied Physics A, 102, 865-875. http://dx.doi.org/10.1007/s00339-011-6297-0 |
| [33] | Ning, N., Huang, K.J. and Shi, L.P. (2012) Artificial Neuron with Somatic and Axonal Computation Units: Mathematical and Neuromorphic Models of Persistent Firing Neurons. Proceedings of the 2012 International Joint Conference on Neural Networks (IJCNN), Brisbane, 10-15 June 2012, 1-7. |
| [34] | van Schaik, A., Jin, C., McEwan, A. and Hamilton, T.J. (2010) A Log-Domain Implementation of the Izhikevich Neuron Model. Proceedings of 2010 IEEE International Symposium on Circuits and Systems (ISCAS), Paris, 30 May-2 June 2010, 4253-4256. |
| [35] | Li,
G.Q., Ning, N., Ramanathan, K., Wei, H., Pan, L. and Shi, L.P. (2013)
Behind the Magical Numbers: Hierarchical Chunking and the Human Working
Memory Capacity. International Journal of Neural Systems, 23, Article
ID: 1350019. http://dx.doi.org/10.1142/S0129065713500196 |
| [36] | Li,
G.Q., Wen, C.Y., Li, Z.G., Zhang, A.M., Yang, F. and Mao, K.Z. (2013)
Model-Based Online Learning with Kernels. IEEE Transactions on Neural
Networks and Learning Systems, 24, 356-369. http://dx.doi.org/10.1109/TNNLS.2012.2229293 eww150203lx |
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