I am student of Mathematics who is currently studying the utility of Algebraic Topology in the field of Neuroscience. In the paper I am reading (Reimann et al 2017) the authors explain that for several pairs of neurons they calculated the correlation of their spiking activity. Sometimes they also use the expression "correlation of connection", which I think refers to the correlation of spiking activity between two neurons (as the prior references). I am interested in understanding the following:
- How does one measure the correlation of a connection?
- I know the mathematical definition of correlation and have an intuitive understanding of it as a measurement of dependence. But in the case of neurons what is the actual interpretation for the correlation of a connection? Is it in the sense of synchronicity? Or something else?
Any insight will be appreciated. This is not my area of studies, so the most elementary observation might help. Thank you in advance.
Reimann, M. W., Nolte, M., Scolamiero, M., Turner, K., Perin, R., Chindemi, G., ... & Markram, H. (2017). Cliques of neurons bound into cavities provide a missing link between structure and function. Frontiers in computational neuroscience, 11, 48.