Factors affecting phase synchronization in integrate-and-fire oscillators

Journal of Computational Neuroscience

Volumn 20, Issue 2, 2006, Pages 191-200

  Troyer, Todd W ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Exponential integrate and fire; Phase response curve; Population density; Synchrony

Indexed keywords

FIRES; PROBABILITY DENSITY FUNCTION; SYNCHRONIZATION;

EXPONENTIAL INTEGRATE-AND-FIRE; FIRING RATES; INPUT CURRENT; INTEGRATE AND FIRES; PHASE RESPONSE CURVES; PHASE SYNCHRONIZATION; PHASE SYNCHRONY; POPULATION DENSITIES; STEP CHANGES; SYNCHRONY;

POPULATION STATISTICS;

POTASSIUM; SODIUM;

ARTICLE; BRAIN DEPTH STIMULATION; BRAIN NERVE CELL; CALCULATION; CELL SYNCHRONIZATION; CONTROLLED STUDY; EQUILIBRIUM CONSTANT; OSCILLATION; POPULATION DENSITY; POTASSIUM CONDUCTANCE; POTASSIUM CURRENT; PRIORITY JOURNAL; PROBABILITY; SIMULATION; SODIUM CURRENT; SPIKE WAVE;

EID: 33646512386     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-006-6174-6     Document Type: Article

References (27)

1. Amari S (1974) A method of statistical neurodynamics. Kybernetik 14(4): 201-215.
2. Brown E, Moehlis J, Holmes P (2004a) On the phase reduction and response dynamics of neural oscillator populations. Neural Comput. 16(4): 673-715.
3. Brown E, Moehlis J, Holmes P, Clayton E, Rajkowski J, Aston-Jones G (2004b) The influence of spike rate and stimulus duration on noradrenergic neurons. J. Comput. Neurosci. 17(1): 13-29.
4. Brunel N (2000) Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J. Comput. Neurosci. 8(3): 183-208.
5. Ermentrout B (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comput. 8(5): 979-1001.
6. Ermentrout B, Kopell N (1986) Symmetry and phaselocking in chains of weakly coupled oscillators. Comm. Pure Appl. Math. 39(5): 623-660.
7. Fourcaud-Trocme N, Brunel N (2005) Dynamics of the instantaneous firing rate in response to changes in input statistics. J. Comput. Neurosci. 18(3): 311-321.
8. Fourcaud-Trocme N, Hansel D, van Vreeswijk C, Brunel N (2003) How spike generation mechanisms determine the neuronal response to fluctuating inputs. J. Neurosci. 23(37): 11628-11640.
9. Gerstner W (2000) Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking. Neural Comput. 12(1): 43-89.
10. Gerstner W, Kistler W (2002) Spiking Neuron Models. Cambridge Univ. Press, Cambridge, UK.
11. Gutkin B, Ermentrout G, Reyes A (2005) Phase-response curves give the responses of neurons to transient inputs. J. Neurophysiol. 94: 1623-1635.
12. Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comput. 7(2): 307-337.
13. Hermann A, Gerstner W (2001) Noise and the PSTH response to current transients: I. General theory and application to the integrate-and-fire neuron. J. Comput. Neurosci. 11(2): 135-151.
14. Hoppensteadt F, Izhikevich E (1997) Weakly Connected Neural Networks. Springer, New York.
15. Izhikevich E (2003) Simple model of spiking neurons. IEEE Trans. Neural Networks 14: 1569-1572.
16. Knight B (1972) Dynamics of encoding in a population of neurons. J. Gen. Physiol. 59(6): 734-766.
17. Knight B, A, A. O, Sirovich L (2000) The approach of a neuron population firing rate to a new equilibrium: An exact theoretical result. Neural Comput. 12(5): 1045-1055.
18. Latham P, Richmond B, Nelson P, Nirenberg S (2000) Intrinsic dynamics in neuronal networks. I. Theory. J. Neurophysiol. 83: 808-827.
19. Madison D, Nicoll R (1984) Control of the repetitive discharge of rat CA1 pyramidal neurones in vitro. J. Physiol. 354: 319-331.
20. Moreno-Bote R, Parga N (2005) Membrane potential and response properties of populations of cortical neurons in the high conductance state. Phys. Rev. Lett. 94: 088103.
21. Naundorf B, Geisel T, Wolf F (2005) Action potential onset dynamics and the response speed of neuronal populations. J. Comput. Neurosci. 18(3): 297-309.
22. Nykamp D, Tranchina D (2000) A population density approach that facilitates large-scale modeling of neural networks: Analysis and an application to orientation tuning. J. Comput. Neurosci. 8(1): 19-50.
23. Omurtag A, Knight B, Sirovich L (2000) On the simulation of large populations of neurons. J. Comput. Neurosci. 8(1): 51-63.
24. Riccardi L (1977) Diffusion Processes and Related Topics in Biology. Springer-Verlag.
25. Salinas E, Sejnowski T (2001) Correlated neuronal activity and the flow of neural information. Nat. Rev. Neurosci. 2(8): 539-550.
26. Stein R (1965) A theoretical analysis of neuronal variability. Biophys. J. 91: 173-94.
27. Wilson H, Cowan J (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. J. 12(1): 1-24.