Influence of membrane properties on spike synchronization in neurons: theory and experiments

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Abstract
In the brain spike synchronization in neurons is involved in information transfer and certain forms of dysfunction. The theory of random point processes was used to relate the statistical properties of input point processes to synchronization between firing in neurons viewed as threshold devices. Derived analytical relations describe normalized synchronization in the case of shared input with balanced excitation and inhibition. For neuronal models with unbalanced shared input and spike generating Hodgkin–Huxley type conductances, the theory satisfactorily describes the temporal dependence of spike synchronization on the delay between spikes. Computer generated stochastic stimulus current was used to stimulate motoneurons in turtle spinal cord slices. Theory was able to approximate the temporal dependence of spike synchronization on the delay between spikes when the membrane time constant and the relative spike threshold measured were used in calculations. In agreement with the theoretical prediction, normalized spike synchrony was reduced when the threshold for spike generation was lowered by injection of steady depolarizing bias current. In spinal motoneurons the relative spike threshold can be lowered by a persistent inward current facilitated by activation of certain metabotropic transmitter receptors. After induction of this inward current spike synchronization was reduced several times. It is suggested that downregulation of the persistent inward current in motoneurons by disruption of brainstem modulatory systems, as in Parkinson disease, can facilitate tremor due to the increased synchrony between motoneurons.