How well do oscillator models capture the behaviour of biological neurons?

Proceedings of the International Joint Conference on Neural Networks

Volumn , Issue , 2012, Pages

  Bhowmik, David ^a   Shanahan, Murray ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

complexity; Kuramoto oscillators; spiking neurons; synchronization

Indexed keywords

ASSOCIATIVE LEARNING; BIOLOGICAL NEURON; COGNITIVE FUNCTIONS; COLLECTIVE DYNAMICS; COMPLEXITY; CRITICAL COUPLING; EVOLUTIONARY TECHNIQUES; FUNDAMENTAL PROPERTIES; HODGKIN-HUXLEY NEURON; INTEGRATE-AND-FIRE NEURONS; KURAMOTO MODELS; MATHEMATICAL ABSTRACTION; NEURAL INFORMATION PROCESSING; NEURAL MODELS; OSCILLATOR MODEL; SPIKING NEURON; WORKING MEMORIES;

C (PROGRAMMING LANGUAGE); DATA PROCESSING; NEURAL NETWORKS; OSCILLATORS (MECHANICAL); SYNCHRONIZATION;

NEURONS;

EID: 84865089672     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IJCNN.2012.6252395     Document Type: Conference Paper

References (30)

1. Y. Nir, L. Fisch, R. Mukamel, H. Gelbard-Sagiv, A Arieli, I. Fried, and R. Malach (2007). "Coupling between neuronal firing rate, gamma LFP, and BOLD fMRI is related to intemeuronal correlations." Current biologyO: CB, 17(15), 1275-85.
2. M.D. Fox, AZ. Snyder, J.1. Vincent, M. Corbetta, D.C. Van Essen, & M.E. Raichle (2005). "The human brain is intrinsically organized into dynamic, anticorrelated functional networks." Proceedings of the National Academy of Sciences of the United States of America, 102(27): 9673-8.
3. O. Jensen, J. Kaiser, and L. Lachaux (2007). "Human gamma-frequency oscillations associated with attention and memory." Trends in Neurosciences, 30(7), 317-324.
4. W.H.R. Miltner, C. Braun, A Matthias, H. Witte, and E. Taub (1999). "Coherence of gamma-band EEG activity as a basis for associative leaming." Nature, 397(6718), 434-436.
5. M. Siegel, M.R. Warden, and E.K. Miller (2009). "Phase-dependent neuronal coding of objects in short-term memory." Proceedings of the National Academy of Sciences of the United States of America, 106(50) 21341-6. '
6. J. Lisman (2005). "The theta/gamma discrete phase code occuring during the hippocampal phase precession may be a more general brain coding scheme." Hippocampus. 2005;15(7):913-22.
7. E. Nyhus and T. Curran (2010). "Functional role of gamma and theta oscillations in episodic memory." Neuroscience and biobehavioral reviews. 2010;34(7):1023-35.
8. P. Fries (2005 ). "A mechanism for cognitive dynamics: neuronal communication through neuronal coherence." Trends in cognitive sciences. 2005;9(10):474-80.
9. M. Shanahan (2010). "Metastable chimera states in communitystructured oscillator networks." Chaos, 20(1), 013108.
10. L. Acebron, L. Bonilla, C. Perez Vicente, F. Ritort, and R. Spigler (2005). "The Kuramoto model: A simple paradigm for synchronization phenomena." Reviews of Modern Physics, 77(1), 137-185.
11. M. Breakspear, S. Heitmann, and A Daffertshofer (2010). "Generative models of cortical oscillations: neurobiological implications of the kuramoto mode\." Frontiers in human neuroscience, 4(November), 190 .
12. Y. Kuramoto (1984). Chemical Oscillations, Waves and Turbulence. Springer-Verlag, Berlin, 1984.
13. S. Strogatz (2000). "From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators". Physica D: Nonlinear Phenomena, 143(1-4), 1-20.
14. L. Cabral, E. Hugues, O. Sporns and G. Deco (2011). "Role of Local Network Oscillations in Resting-State Functional Connectivity." Neurolmage. 2011.
15. B.A. Santos, X.E. Barandiaran, and P. Husbands (2011). "Metastable dynamical regimes in an oscillatory network modulated by an agent's sensonmotor loop." Proc. IEEE Symposium on Artificial Life 20 II.
16. A Jadbabaie, N. Motee, and M. Barahona. (2004). "On the Stability of the Kuramoto Model of Coupled Nonlinear Oscillators." Systems Engineering, 1-8.
17. P.E. Latham, B.J. Richmond, P.G. Nelson, and S. Nirenberg (2000). "Intrinsic dynamics in neuronal networks. i. theory." Journal of Neurophysiology 83(2), 808-827.
18. Al. Hodgkin and AF. Huxley (1952). "A quantitative description of Ion currents and its applications to conduction and excitation in nerve membranes." J Physiol. (Lond,), 117:500-544.
19. I. Vida., M. Bartos, and P. Jonas (2006). "Shunting inhibition improves robustness of gamma oscillations in hippocampal interneuron networks by homogenizing firing rates." Neuron, 49(1), 107-17.
20. E. Papp, X. Leinekugel, D.A. Henze, L. Lee and G. Buzsaki (2001). "The apical shaft of CAl pyramidal cells is under GABAergic interneuronal contro\." Neuroscience 102(4).
21. A Hasenstaub, Y. Shu, and B. Haider (2005). "Inhibitory postsynaptic potentials carry synchronized frequency information in active cortical networks." Neuron. 2005;47(3):423-35.
22. B.R. Alger, R.A. Nicoll (1979). "GAB A-mediated biphasic inhibitory responses in hippocampus." Nature 281, 315-317.
23. P. Andersen P, R. Dingledine, L. Gjerstad, LA Langmoen, AM. Laursen (1980). "Two different responses of hippocampal pyramidal cells to application of gamma-amino butyric acid." J Phisiol 1980 Aug;305:279-96 .
24. H. Markram, L. Liibke, M. Frotscher, A Roth, B. Sakmann (1997). "Physiology and anatomy of synaptic connections between thick tufted pyramidal neurones in the developing rat neocortex." The Journal of physiology. 1997;500 ( Pt 2):409-40.
25. D. Hansel, G. Mato, and C. Meunier (1995). "Synchrony in excitatory neural networks." Neural computation. 1995;7(2):307-37.
26. B. Ermentrout, B. (1996). "Type I membranes, phase resetting curves, and synchrony." Neural Computation 8(5), 979-1001.
27. G.B. Ermentrout, and N. Kopell (1986). " Parabolic bursting in an excitable system coupled with a slow oscillation." SIAM Journal on Applied Mathematics 46(2), 233 .
28. C. Borgers, and N. Kopell (2005). " Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons." Neural Computation 17(3), 557-608.
29. W. Gerstner and W. Kistler (2002) "Spiking neuron models." Cambridge University Press, 2002 .
30. AK. Fidjeland, and M. Shanahan (2010). "Accelerated Simulation of Spiking Neural Networks Using GPUs." Proceedings I1CNN 2010.