Suggested further readings

Text book:

Dayan P, Abbott LF. Theoretical neuroscience: computational and mathematical modeling of neural systems. Journal of Cognitive Neuroscience. 2003 Jan;15(1):154-5. Chapter 5

Gerstner W, Kistler WM, Naud R, Paninski L. Neuronal dynamics: From single neurons to networks and models of cognition. Cambridge University Press; 2014 Jul 24. Chapter 1 Research papers

Hodgkin-Huxley neuron model (how spike is generated):

Hodgkin AL, Huxley AF. A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 1952 Aug 28;117(4):500.

Hodgkin AL, Huxley AF, Katz B. Measurement of current-voltage relations in the membrane of the giant axon of Loligo. The Journal of physiology. 1952 Apr 28;116(4):424.

But what is a spike

FitzHugh R. Mathematical models of threshold phenomena in the nerve membrane. The bulletin of mathematical biophysics. 1955 Dec 1;17(4):257-78.

Izhikevich EM, FitzHugh R. Fitzhugh-nagumo model. Scholarpedia. 2006 Sep 23;1(9):1349.

Point neuron model

Brunel N, Van Rossum MC. Lapicque’s 1907 paper: from frogs to integrate-and-fire. Biological cybernetics. 2007 Dec 1;97(5-6):337-9.

Gerstner W, Naud R. How good are neuron models?. Science. 2009 Oct 16;326(5951):379-80.

Jolivet R, Kobayashi R, Rauch A, Naud R, Shinomoto S, Gerstner W. A benchmark test for a quantitative assessment of simple neuron models. Journal of neuroscience methods. 2008 Apr 30;169(2):417-24.

Jolivet R, Lewis TJ, Gerstner W. Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. Journal of neurophysiology. 2004 Aug;92(2):959-76.

Brunel N, Hakim V, Richardson MJ. Single neuron dynamics and computation. Current opinion in neurobiology. 2014 Apr 1;25:149-55.

Extending simplified neuron models

Poirazi P, Brannon T, Mel BW. Pyramidal neuron as two-layer neural network. Neuron. 2003 Mar 27;37(6):989-99.

Larkum ME, Nevian T, Sandler M, Polsky A, Schiller J. Synaptic integration in tuft dendrites of layer 5 pyramidal neurons: a new unifying principle. Science. 2009 Aug 7;325(5941):756-60.

Synapse models

Kuhn A, Aertsen A, Rotter S. Neuronal integration of synaptic input in the fluctuation-driven regime. Journal of Neuroscience. 2004 Mar 10;24(10):2345-56.

Short-term dynamics of synapses

Stevens CF, Wang Y. Facilitation and depression at single central synapses. Neuron. 1995 Apr 1;14(4):795-802.

Markram H, Tsodyks M. Redistribution of synaptic efficacy between neocortical pyramidal neurons. Nature. 1996 Aug;382(6594):807-10.

Markram H, Wang Y, Tsodyks M. Differential signaling via the same axon of neocortical pyramidal neurons. Proceedings of the National Academy of Sciences. 1998 Apr 28;95(9):5323-8.

Synaptic timing dependent plasticity

Song S, Miller KD, Abbott LF. Competitive Hebbian learning through spike-timing-dependent synaptic plasticity. Nature neuroscience. 2000 Sep;3(9):919-26.

Bi GQ, Poo MM. Synaptic modifications in cultured hippocampal neurons: dependence on spike timing, synaptic strength, and postsynaptic cell type. Journal of neuroscience. 1998 Dec 15;18(24):10464-72.

Abbott LF, Nelson SB. Synaptic plasticity: taming the beast. Nature neuroscience. 2000 Nov;3(11):1178-83.