Synchronization of Spikes in Populations of Laterally Coupled Model Neurons

Local lateral inhibition: a key to spike synchronization?

“…lc) (Kirillov and Woodward 1993) as well as of larger and more realistic model networks with local interconnections (Nischwitz et al 1991. Synchronization is reported to reappear for delays that are approximately multiples of the interspike interval of an uncoupled unit (Gerstner and van Hemmen 1992;Gliinder and Nischwitz 1993).…”

“…The influence of deviations from these standard values on the quality of synchronization is dealt with elsewhere (Nischwitz et al 1991;Kraut et al 1993). In order to quantify the degree of synchronization, we define the instantaneous spike density ,(t-j6t) t j=O that can be imagined as a slightly lowpass-filtered recording of the whole spiking activity to which all units contribute with the same strength (cf.…”

“…at the 'microscopic level' (Nischwitz et al 1991;van Hemmen et al 1992). Today, such impulse-generating units with individual noise behaviour and stimulus-dependent impulse rate are computationally manageable even in large populations and in simulations with high temporal resolution.…”

“…Today, such impulse-generating units with individual noise behaviour and stimulus-dependent impulse rate are computationally manageable even in large populations and in simulations with high temporal resolution. Different from earlier work on networks with local excitatory interconnections (Nischwitz et al 1991) we focus here on properties of the local inhibitory and delayed coupling which, from the biological point of view, represents a prominent interconnection scheme in the neocortex (Braitenberg and Schiiz 1991) and has the advantage of being orders of magnitude more effective than its excitatory counterpart (Sejnowski and Lytton 1992). We imagine a population (e.g.…”

“…While there is some literature about excitatory spike synchronization in fully interconnected model networks (Peskin 1975;Mirollo and Strogatz 1990;Kuramoto 1991;Deppisch et al 1992;Gerstner and van Hemmen 1992) and in locally interconnected ones (MacGregor and Palasek 1974;Hartmann and Driie 1990;Nischwitz et al 1991), and in networks consisting of an excitatorily coupled layer that is controlled by inhibitory interneurons (Bush and Douglas 1991;Gerstner et al 1993a, b), we know of only a very few published studies that deal with spike synchronization by inhibitory coupling, namely the neuron pairs studied by Kirillov andWoodward (1993), van Vreeswijk et al (1994) and Lytton and Sejnowski (1991;Sejnowski and Lytton 1992). All of them differ significantly from the architecture introduced here.…”