The hippocampus is a brain structure essential for learning and memory
processes, although its precise role has yet to be determined despite
intensive experimental study. A combined experimental/theoretical app
roach is outlined for realizing a biologically based representation of
the hippocampal formation. The approach involves developing two model
s, one a ''nonparametric'' model in which the subsystems, principal ne
urons, and subcellular processes of the principal neurons are characte
rized experimentally using random impulse train stimulation. Non-linea
rities in the input/output relation are represented as the kernels of
a functional power series. Using multidimensional z-transforms, a proc
edure is demonstrated for deriving kernel functions for interneurons t
hat are not directly observable. A scheme is proposed for developing a
n ''external'' model of the hippocampus, in which the system is repres
ented as the composite of the input/output functions of its intrinsic
elements. The second model is an ''internal'' model, derived from an n
-level field theory, in which specific cellular and subcellular proces
ses are included as the parameters of coupled field equations describi
ng the dynamics at a different hierarchical levels of nervous system f
unction. The current model consists of two field equations for each of
the synaptic and neuronal levels, respectively,- included in each are
geometrical relations to incorporate anatomical characteristics (eg.,
connectivity patterns, synaptic, and cell densities) of the system. I
t is proposed that the two models be used in a complementary manner to
achieve an understanding of the neurobiological basis of the system d
ynamics, and thus the mnemonic function, of the hippocampus.