Pulse Inputs Affect Timings of Spikes in Neurons with or Without Time Delays

References

[1] F. Baroni and P. Varona, Subthreshold oscillations and neuronal input-output relationships, Neurocomputating. 70 (2007), 1611–1614.10.1016/j.neucom.2006.10.042Suche in Google Scholar

[2] S. Ostojic, Interspike interval distributions of spiking neurons driven by fluctuating inputs, J. Neurophysiol, 106 (2011), 361–373.10.1152/jn.00830.2010Suche in Google Scholar PubMed

[3] U. Hillenbrand, Subthreshold dynamics of the neural membrane potential driven by stochastic synaptic input, Phys. Rev. E. 66 (2002), 021909.10.1103/PhysRevE.66.021909Suche in Google Scholar PubMed

[4] K. Stiefel, B. Gutkin and T. Sejnowski, The effects of cholinergic neuromodulation on neuronal phase-response curves of modeled cortical neurons, J. Comput. Neurosci. 26 (2009), 289–301.10.1007/s10827-008-0111-9Suche in Google Scholar PubMed PubMed Central

[5] R. Smeal, B. Ermentrout and J. White, Phase-response curves and synchronized neural networks, Phil. Trans. R. Soc. B. 365 (2010), 2407–2422.10.1098/rstb.2009.0292Suche in Google Scholar PubMed PubMed Central

[6] C. Ly, T. Melman, A. Barth and B. Ermentrout, Phase-resetting curve determines how BK currents affect neuronal firing, J. Comput. Neurosci. 30 (2011), 211–223.10.1007/s10827-010-0246-3Suche in Google Scholar PubMed

[7] E. Izhikevich, Dynamical systems in neuroscience: The geometry of excitability and bursting, The MIT Press, Cambridge, Massachusetts, (2007).10.7551/mitpress/2526.001.0001Suche in Google Scholar

[8] C. C. Canavier and S. Achuthan, Pulse coupled oscillators and the phase resetting curve, Math. Biosci. 226 (2010), 77–96.10.1016/j.mbs.2010.05.001Suche in Google Scholar PubMed PubMed Central

[9] C. C. Canavier, S. Wang and L. Chandrasekaran, Effect of PRC skew on synchronization with or without conduction delays, Front. Neural Circuits. 7 (2013), 194.10.3389/fncir.2013.00194Suche in Google Scholar PubMed PubMed Central

[10] S. Sadeghi and A. Valizadeh, Synchronization of delayed coupled neurons in presence of inhomogeneity, J. Comput. Neurosci. 36 (2014), 55–66.10.1007/s10827-013-0461-9Suche in Google Scholar PubMed

[11] Z. G. Esfahani, L. L. Gollo and A. Valizadeh, Stimulus-dependent synchronization in delayed-coupled neuronal networks, Sci. Reports 6 (2016), 23471.10.1038/srep23471Suche in Google Scholar PubMed PubMed Central

[12] B. Ermentrout, Dynamical consequences of fast-rising, slow-decaying synapses in neuronal networks, Neural Comput. 15 (2003), 2843–2522.10.1162/089976603322385054Suche in Google Scholar PubMed

[13] M. Dhamala, V. K. Jirsa and M. Ding, Enhancement of neural synchrony by time delay, Phys. Rev. Lett. 92 (2004), 74104.10.1103/PhysRevLett.92.074104Suche in Google Scholar PubMed

[14] Q. Wang, Z. Duan, M. Perc and G. Chen, Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability, EPL (Europhysics Lett.) 83 (2008), 50008.10.1209/0295-5075/83/50008Suche in Google Scholar

[15] Q. Wang, M. Perc, Z. Duan and G. Chen, Synchronization transitions on scale-free neuronal networks due to finite information transmission delays, Phys. Rev. E. 80 (2009), 26206.10.1103/PhysRevE.80.026206Suche in Google Scholar PubMed

[16] T. Pérez et al., Effect of the topology and delayed interactions in neuronal networks synchronization, Plos One. 6 (2011), e19900.10.1371/journal.pone.0019900Suche in Google Scholar PubMed PubMed Central

[17] C. Börgers and N. Kopell, Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity, Neural Comput. 15 (2003), 509–538.10.1162/089976603321192059Suche in Google Scholar PubMed

[18] C. Börgers, M. Krupa and S. Gielen, The response of a classical Hodgkin-Huxley neuron to an inhibitory input pulse, J. Comput. Neurosci. 28 (2010), 509–526.10.1007/s10827-010-0233-8Suche in Google Scholar PubMed PubMed Central

[19] J. L. Hindmarsh and R. M. Rose, A model of neuronal bursting using three coupled first order differential equations, Proc. R. Soc. London Ser. B. 221 (1984), 87–102.10.1098/rspb.1984.0024Suche in Google Scholar PubMed

[20] B. Ermentrout, Simulating, analyzing, and animating dynamical systems: A guide to XPPAUT for researchers and students, SIAM (Society for Industrial and Applied Mathematics), Philadelphia, (2002).10.1137/1.9780898718195Suche in Google Scholar

[21] J. Wang, W. Costello and J. Rubin, Tailoring inputs to achieve maximal neuronal firing, J. Math. Neurosci. 1 (2011), 3.10.1186/2190-8567-1-3Suche in Google Scholar PubMed PubMed Central

[22] M. N. Shadlen and W. T. Newsome, Noise, neural codes and cortical organization, Curr. Opin. Neurobiol. 4 (1994), 569–579.10.1016/0959-4388(94)90059-0Suche in Google Scholar

[23] P. Konig, A. K. Engel and W. Singer, Integrator or coincidence detector? The role of the cortical neuron revisited, Trends Neurosci. 19 (1996), 130–137.10.1016/S0166-2236(96)80019-1Suche in Google Scholar

[24] R. VanRullen, R. Guyonneau and S. J. Thorpe, Spike times make sense, Trends Neurosci. 28 (2005), 1–4.10.1016/j.tins.2004.10.010Suche in Google Scholar PubMed

[25] B. N. Lundstrom, M. Famulare, L. B. Sorensen, W. J. Spain and A. L. Fairhall, Sensitivity of firing rate to input fluctuations depends on time scale separation between fast and slow variables in single neurons, J. Comput. Neurosci. 27 (2009), 277–290.10.1007/s10827-009-0142-xSuche in Google Scholar PubMed