W.J. Freemans Mass Action in the Nervous System (Academic Press, New
York, 1975) provides a conceptual background for the development of PDE
models. I am developing a PDE model for the Circulatory Mass Action
(CMA) of the neocortex, which is based on the research of M. Verzeano
(1954-1981). Verzeano found that the pulse density wave (PDW) of multiunit
axon discharge is related to the rate-of-change of the locally generated
extracellular gross wave. The CMA model accounts for these relations
through an electromagnetic paradigm in which the PDW represents a
neocortical magnetic current. The PDE on which this model is based is an
extension of Faradays law found in electromagnetic engineering, which
includes a term for magnetic current. I know of no one else doing this
kind of modeling. Wish I did.
Fred Zaman, Neural Engineering and Research Development, Hill AFB Utah