Effects of heterogeneity in synaptic conductance between weakly coupled identical neurons

Journal of Computational Neuroscience

Volumn 30, Issue 2, 2011, Pages 455-469

  Bradley, Patrick J ^a   Wiesenfeld, Kurt ^a   Butera, Robert J ^a,b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Heterogeneity; Synchrony; Weak coupling

Indexed keywords

BIFURCATION (MATHEMATICS); LOCKS (FASTENERS); RATE CONSTANTS;

ANTIPHASE; COUPLED NEURONS; HETEROGENEITY; HODGKIN-HUXLEY MODELS; IN-PHASE; PHASE LOCKED; PHASE SOLUTIONS; SYNAPTIC CONDUCTANCE; SYNCHRONY; WEAK COUPLINGS;

NEURONS;

ARTICLE; CELL HETEROGENEITY; CELL STRUCTURE; CORTICAL SYNCHRONIZATION; EXCITATION CONTRACTION COUPLING; HODGKIN HUXLEY EQUATION; LEARNING ALGORITHM; MATHEMATICAL MODEL; MOLECULAR INTERACTION; MOTONEURON; NERVE CELL EXCITABILITY; NERVE CELL INHIBITION; OSCILLATORY POTENTIAL; PREDICTION; PRIORITY JOURNAL; PROCESS MODEL; QUANTITATIVE ANALYSIS; SYNAPTIC TRANSMISSION; WANG BUZSAKI MODEL;

EID: 79953309267     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-010-0270-3     Document Type: Article

References (24)

1. Bose, A., Kopell, N., & Terman, D. (2000). Almost-synchronous solutions for mutually coupled excitatory neurons. Physica D, 140, 69-94.
2. Bou-Flores, C., & Berger, A. J. (2001). Gap junctions and inhibitory synapses modulate inspiratory motoneuron synchronization. Journal of Neurophysiology, 85, 1543-1551. (Pubitemid 32280595)
3. Crawford, J. D. (1991). Introduction to bifurcation theory. Reviews of Modern Physics, 63(4), 991-1037.
4. Ermentrout, G. B. (2002). Simulating, analyzing, and animating dynamical systems: A guide to XPPAUT for researchers and students. SIAM.
5. Ermentrout, G. B., & Kopell, N. (1990). Oscillator death in systems of coupled neural oscillators. SIAM Journal on Applied Mathematics, 50(1), 125-146. (Pubitemid 20661621)
6. Hansel, D., &Mato, G. (1993). Patterns of synchrony in a heterogeneous Hodgkin-Huxley neural network with weak coupling. Physica A, 200, 662-669.
7. Hansel, D., Mato, G., & Meunier, C. (1993). Phase dynamics for weakly coupled Hodgkin-Huxley neurons. Europhysics Letters, 23, 367-372.
8. Hansel, D., Mato, G., &Meunier, C. (1995). Synchrony in excitatory neural networks. Neural Computation, 7(2), 307-337.
9. Izhikevich, E. (1998). Multiple cusp bifurcations. Neural Networks, 11, 495-508.
10. Izhikevich, E. (2007). Dynamical systems in neuroscience. MIT Press.
11. Izhikevich, E., & Hoppensteadt, F. (1997). Weakly connected neural networks. New York: Springer.
12. Kuramoto, Y. (1984). Checmical oscillations, waves and turbulence. New York: Springer.
13. Li, Y., Wang, Y., & Miura, R. (2003). Clustering in small networks of excitatory neurons with heterogeneous coupling strengths. Journal of Computational Neuroscience, 14(2), 139-159. (Pubitemid 36292265)
14. Mellen, N., Janczewski, W., Bocchiaro, C., & Feldman, J. L. (2003). Opiod induced quantal slowing reveals dual networks for repiratory rhythm generation. Neuron, 37, 821-826. (Pubitemid 36288554)
15. Prescott, S., Koninck, Y., & Sejnowski, T. (2008). Biophysical basis for three distinct mechanisms for action potential initiation. PLoS Biology, 4(10), e1000198.
16. Preyer, A., & Butera, R. J. (2005). Neuronal oscillators in Aplysia californica that demonstrate weak coupling in vitro. Physical Review Letters, 95, 138103.
17. Purvis, L. K., Smith, J. C., Koizumi, H., & Butera, R. J. (2007). Bursters increase the robustness of rhythm generation in an excitatory network. Journal of Neurophysiology, 97, 1515-1526. (Pubitemid 46239525)
18. Rinzel, J., & Ermentrout, G. B. (1989). Methods in neuronal modeling (pp. 135-169). MIT Press.
19. Sieling, F., Canavier, C., & Prinz, A. (2009). Predictions of phase-locking in excitatory hybrid networks: Excitation does not promote phase-locking in pattern-generating networks as reliably as inhibition. Journal of Neurophysiology, 102, 69-84.
20. Smith, J. C., Ellenberger, H. H., Ballanyi, K., Richter, D. W., & Feldman, J. L. (1991). Pre-Bötzinger complex: A brainstem region that may generate respiratory rhythm in mammals. Science, 254, 726-729. (Pubitemid 21917399)
21. Song, S., Sjöström, P. J., Reigl, M., Nelson, S., & Chklovskii, D. (2005). Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS Biology, 3(3), e68.
22. Terman, D., Kopell, N., & Bose, A. (1998). Dynamics of two mutually coupled slow inhibitory neurons. Physica D, 117, 241-275. (Pubitemid 128676602)
23. Van Vreeswijk, C., Abbott, L., & Ermentrout, G. B. (1994). When inhibition not excitation synchronizes neural firing. Journal of Computational Neuroscience, 1, 313-321.
24. White, J., Chow, C., Ritt, J., Soto-Tervino, C., & Kopell, N. (1998). Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. Journal of Computational Neuroscience, 5, 5-16. (Pubitemid 28105074)