Journal: Frontiers in Neuroscience

Article Title: Spike Correlations – What Can They Tell About Synchrony?

doi: 10.3389/fnins.2011.00068

Figure Lengend Snippet: The correlation transfer from input currents to spikes . Cross correlations in the net somatic currents of neurons 1 and 2 can originate from a multitude of synaptic interactions: direct or recurrent synaptic connections, common inputs or their combination. The presence of current cross correlations results in pairwise correlations in the spikes of neurons 1 and 2. Currently few neuronal models can offer tractable solutions describing how the pairwise input correlations translate to spike cross correlations.

Article Snippet: While mean and fluctuation driven regimes can differ significantly in their spike train regularity, yet they seem to exhibit very similar spike cross correlation (de la Rocha et al., ) and dynamical response properties (Koendgen et al., ).

Techniques:

Journal: Frontiers in Neuroscience

Article Title: Spike Correlations – What Can They Tell About Synchrony?

doi: 10.3389/fnins.2011.00068

Figure Lengend Snippet: Pairwise spike correlations in the novel threshold model framework . The spike times neurons t 1 − t 3 and the corresponding spike trains s 1 ( t ) and s 2 ( t ) represented by rectangles in red (top) or blue (center) are modeled in the threshold framework by positive threshold crossings (black dashed line) of a fluctuating potential V 1 ( t ) or V 2 ( t ), respectively. The correlations between neurons are incorporated as symmetric voltage cross correlations. Tractable analytical results can be obtained for the dependence of firing rate on the mean driving current I 0 (bottom left), correlation coefficient ρ 12 as a function of correlation strength r (bottom center) and the weak pairwise spike correlation ν cond,12 (0) − ν as a function of firing rate ν (bottom right).

Article Snippet: While mean and fluctuation driven regimes can differ significantly in their spike train regularity, yet they seem to exhibit very similar spike cross correlation (de la Rocha et al., ) and dynamical response properties (Koendgen et al., ).

Techniques:

Journal: Frontiers in Neuroscience

Article Title: Spike Correlations – What Can They Tell About Synchrony?

doi: 10.3389/fnins.2011.00068

Figure Lengend Snippet: Vanishing spike count correlations do not imply uncorrelated spike trains . While a lack of spike cross correlations implies 0 correlation coefficients, the opposite does not always hold. We have shown that count correlation coefficient ρ 12 can vanish in pairs of cross correlated neurons. This effect can be expected if ρ 12 is computed for large time bins in neuronal pairs where the integral over the spike cross correlation function vanishes ∫ − ∞ ∞ ν cond ( τ ) d τ = 0 (Tchumatchenko et al., ).

Article Snippet: While mean and fluctuation driven regimes can differ significantly in their spike train regularity, yet they seem to exhibit very similar spike cross correlation (de la Rocha et al., ) and dynamical response properties (Koendgen et al., ).

Techniques: