[Mathematical analysis of the possibility of detecting a correlation between the spike trains of weakly interacting neurons].
The quantity of impulses which is necessary to be registered for detecting a reliable correlation between spike trains of synaptically connected neurons was estimated using a mathematical model. This quantity of impulses was studied as dependent on the weight of connection between neurons (the amplitude of EPSP evoked by a single impulse of an input neuron in an output one), on the intensity of total background excitatory influences upon the output neuron and on its own parameters. The necessary quantity of impulses was 10(7)-10(8) for cells with connection weights, parameters and characteristics of background activity similar to those of real spinal neurons. An increase in the amplitude of unitary EPSP and a decrease in the intensity of the input background impulse train and in duration and amplitude of interspike hyperpolarization of the postsynaptic neuron led to a decrease in the quantity of impulses necessary for detecting a reliable correlation. The possible principles of the construction of the spinal locomotor generator are discussed on the basis of those data.
D000818:Animals; D002415:Cats; D004594:Electrophysiology; D008124:Locomotion; D008433:Mathematics; D008959:Models, Neurological; D013116:Spinal Cord / Q000502:physiology*
Matematicheskiĭ analiz vozmozhnosti obnaruzheniia korreliatsionnoĭ zavisimosti mezhdu impul snymi potokami slabovzaimodeĭstvuiushchikh neĭronov.