Biophysical Journal 14: 567-582 (1974)
© 1974 the Biophysical Society

This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by Knox, C. K. Search for Related Content PubMed PubMed Citation Articles by Knox, C. K.

Cross-Correlation Functions for a Neuronal Model

ABSTRACT

Cross-correlation functions, R_XY(t,), are obtained for a neuron model which is characterized by constant threshold , by resetting to resting level after an output, and by membrane potential U(t) which results from linear summation of excitatory postsynaptic potentials h(t). The results show that: (1) Near time lag = 0, R_XY(t,) = f_U [-h(), t + ] {h'() + E_U [u'(t + )]} for positive values of this quantity, where f_U(u,t) is the probability density function of U(t) and E_U [u'(t + )] is the mean value function of U'(t + ). (2) Minima may appear in R_XY(t,) for a neuron subjected only to excitation. (3) For large , R_XY(t,) is given approximately by the convolution of the input autocorrelation function with the functional of point (1). (4) R_XY(t,) is a biased estimator of the shape of h(t), generally over-estimating both its time to peak and its rise time.

This article has been cited by other articles:

				F. J Veredas, F. J Vico, and J.-M. Alonso Factors determining the precision of the correlated firing generated by a monosynaptic connection in the cat visual pathway J. Physiol., September 15, 2005; 567(3): 1057 - 1078. [Abstract] [Full Text] [PDF]