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Membrane potential and spike train statistics depend distinctly on input statistics Robert Rosenbaum1
 

Summary: Membrane potential and spike train statistics depend distinctly on input statistics
Robert Rosenbaum1
and Kresimir Josi´c1, 2
1
Department of Mathematics, University of Houston, Houston TX 77204­3008, USA
2
Department of Biology and Biochemistry, University of Houston, Houston TX 77204­5001, USA
A description of how the activity of a population of neurons reflects the structure of its inputs
is essential for understanding neural coding. Many studies have examined how inputs determine
spiking statistics, while comparatively little is known about membrane potentials. We examine how
membrane potential statistics are related to input and spiking statistics. Surprisingly, firing rates and
membrane potentials are sensitive to input current modulations in distinct regimes. Additionally,
the correlation between the membrane potentials of two uncoupled cells and the correlation between
their spike trains reflect input correlations in distinct regimes. Our predictions are experimentally
testable, provide insight into the filtering properties of neurons, and indicate that care needs to be
taken when interpreting neuronal recordings that reflect a combination of subthreshold and spiking
activity.
Keywords: correlations, integrate and fire neurons, linear response, membrane potential, spike train
I. INTRODUCTION
To understand dynamics and information processing in

  

Source: Azevedo, Ricardo - Department of Biology and Biochemistry, University of Houston

 

Collections: Biology and Medicine; Environmental Sciences and Ecology