Spiking Network Models and Theory: Overview
Spiking neuronal networks are a type of neural network model where the neurons interact by sending and receiving the so-called spikes, short pulses that are only defined by their time of occurrence. Biologically, spikes correspond to the action potentials of neurons.
The term spiking network was introduced to distinguish these models from formal neuron models which have graded activation functions.
The first spiking neuron models were developed at the beginning of the twentieth century and focused on explaining the electrical behavior of isolated neurons. In 1907, Louis Lapicque proposed an electrical circuit model to describe the change in membrane potential after applying a current step. He assumed a fixed firing threshold to explain the occurrence of...
This work was supported by the Blue Brain Project and EU grant FP7-269921 (BrainScaleS).
- Abeles M (1991) Corticonics: neural circuits of the cerebral cortex. Cambridge University Press, CambridgeGoogle Scholar
- Gerstner W, Kistler WM (2002) Spiking neuron models: single neurons, populations, plasticity. Cambridge University Press, CambridgeGoogle Scholar
- Hill A (1936) Excitation and accommodation in nerve. Proc R Soc Lond B 814:305–355Google Scholar
- Lapicque L (1907) Recherches quantitatives sur l’excitation electrique des nerfs traitee comme une polarization. J Physiol Pathol Gen 9:620–635Google Scholar
- Mongillo G, Barak O, Tsodyks M (2008) Synaptic theory of working memory. Science (NY) 319(5869):1543–1546Google Scholar
- Papoulis A, Pillai SU (2002) Probability, random variables and stochastic, 4th edn. McGraw-Hill, BostonGoogle Scholar
- Sjöström J, Gerstner W (2010) Spike-timing dependent plasticity. Scholarpedia 5(2):1362Google Scholar
- Tsodyks MV, Sejnowski T (1995) Rapid state switching in balanced cortical network models. Netw Comput Neural Syst 6(2):111–124Google Scholar
- Tsodyks MV, Markram H, Uziel A (2000) Synchrony generation in recurrent networks with frequency-dependent synapses. J Neurosci 20(1):50Google Scholar
- Tuckwell HC (1988) Introduction to theoretical neurobiology: volume 2 nonlinear and stochastic theories. Cambridge University Press, Cambridge, UKGoogle Scholar
- A thorough introduction to the theory of spiking networks can be found in the somewhat dated but still highly valuable textbooks Introduction to theoretical neurobiology by Tuckwell (1988). An equally thorough and more recent reference is the book Spiking neuron models: Single neurons, populations, plasticity by Gerstner and Kistler (2002) which also contains extensive treatment of learning and plasticity in spiking networks. A broader overview is given in the textbook Theoretical Neuroscience by Dayan and Abbot (2001)Google Scholar
- Burkitt (2006a, b) has written a set of comprehensive reviews of the integrate and fire neuron. The dynamic properties of spiking networks have been reviewed by Vogels et al. (2005)Google Scholar
- Dayan P, Abbot LF (2001) Theoretical neuroscience: computational and mathematical modeling of neural systems. MIT Press, Cambridge, MAGoogle Scholar
- Feldman (2012) provides an extensive review of spike-timing-dependent plasticity, with possible underlying synaptic and cellular mechanisms, as well as its potential role in learning. The reviews of Morrison et al. (2008) and Sjöström and Gerstner (2010) give good overview over theoretical models of spike-timing-dependent plasticityGoogle Scholar