Submited on: 14 Sep 2012 01:33:48 PM GMT
Published on: 15 Sep 2012 05:26:38 PM GMT

This paper has been expanded and published:


L. Ingber, M. Pappalepore, and R.R. Stesiak, ``Electroencephalographic field influence on calcium momentum waves,'' Journal of Theoretical Biology (in press)(2014). [ URL and ]


In a recent papers, L. Ingber, "Columnar EEG magnetic influences on molecular development of short-term memory," in Short-Term Memory: New Research, edited by G. Kalivas and S.F. Petralia (Nova, Hauppauge, NY, 2012), p. 37-72. [Invited Paper. URL], and P.L. Nunez, R. Srinivasan, and L. Ingber, "Theoretical and experimental electrophysiology in human neocortex: Multiscale correlates of conscious experience," in Multiscale Analysis and Nonlinear Dynamics, edited by M. Pesenson (Wiley, New York, 2012), p. (to be published), I include mention of a calculation reported in L. Ingber, "Influence of macrocolumnar EEG on Ca waves,'' Current Progress Journal 1 (1), 4-8 (2012). [URL and]


In that last paper, I calculate a vector potential A of large macrocolumnar EEG that is quite large relative to Ca2+ momenta. This should have a large influence on, if not initiation of, Ca2+ waves. I believe the basic premise to be robust against any theoretical modeling, as I use experimental data wherever possible for both Ca2+ ions and for large-scale electromagnetic activity.


Also, in the context of quantum influences, for some years it has been noted that a reasonable Gaussian wave function for a Ca2+ ion during its participation in a wave can have a spatial spread on the order of a synapse. I note the p.A effect is simply calculated here with the same answer as in the classical case: The momentum representation of such a Gaussian is itself a Gaussian. The field A is shown in this paper to be quite insensitive to a reasonable spatial location, so we just have to consider the expectation of momentum p, which gives back the classical value. (This is more straightforward than a typical p.A calculation that does a partial integration to get x.dA/dt (partial derivatives) giving x.E, but "x" is not as directly observed as p is in this context.)


So, we are left with a conjecture, simply noting that a p.A effect could be seen as a predominance of Ca2+ waves in directions closely aligned to the direction perpendicular to neocortical laminae (A is in the same direction as the current flow, typically across laminae, albeit they are convoluted), especially during strong collective EEG (e.g., strong enough to be measured on the scalp, such as during selective attention tasks). It will be "interesting" to see if any experiments will support this conjecture? I realize that the spatial scales of Ca2+ wave and macro-EEG are quite disparate, so a group would have to be able to see and correlate both scales in time scales on the order of msec.