Trion Model of Cortical Organization: Toward a Theory of Information Processing and Memory

In the spirit of Mountcastle’s [1] organizational principle for neocortical function, and strongly motivated by Fisher’s [2] model of physical spin systems, we have introduced [3] a new cooperative mathematical model of the cortical column. Our model incorporates an idealized substructure, the trion, which represents a localized group of neurons. The trion model allows for a completely new framework for information processing and associative memory storage and recall: Small networks of trions with highly symmetric interactions are found to yield hundreds to thousands of quasi-stable, periodic firing patterns, MP’s, which can evolve from one to another (see Fig. 1). Experience or learning would then modify the interactions (away from the symmetric values) and select out the desired MP’s (as in the selection principle of Edelman [4]). Remarkably, we have found that relatively small modifications in trion interaction strengths (away from the symmetric values) via a Hebb-type algorithm [5] will enhance and select out any desired MP. Conceptually this suggests a radically different approach from those information processing models which start at the opposite extreme of a randomly connected neural network with no periodic firing patterns, and then (via Hebb-type modifications [5] in the synaptic interactions) reinforce specific firing patterns. More recently [6], in studying the associative recall properties of the networks we find that, on the average, any of the initial firing configurations rapidly (in 2 to 4 time steps) projects onto an MP.

[1]  E. Harth,et al.  Cooperativity in brain function: Assemblies of approximately 30 neurons , 1982, Experimental Neurology.

[2]  Gordon L. Shaw,et al.  Space-time correlations of neuronal firing related to memory storage capacity , 1978, Brain Research Bulletin.

[3]  J. S. Barlow The mindful brain: B.M. Edelman and V.B. Mountcastle (MIT Press, Cambridge, Mass., 1978, 100 p., U.S. $ 10.00) , 1979 .

[4]  Stephen Wolfram,et al.  Cellular automata as models of complexity , 1984, Nature.

[5]  D. Huse,et al.  Multiphase behavior and modulated ordering in soluble Ising models , 1981 .

[6]  M. Cynader,et al.  Somatosensory cortical map changes following digit amputation in adult monkeys , 1984, The Journal of comparative neurology.

[7]  J. Pearson,et al.  Processing capability of the primary visual cortex and possible physiologic basis for an apparent motion illusion , 1983, Experimental Neurology.

[8]  M. Fisher,et al.  Low temperature analysis of the axial next-nearest neighbour Ising model near its multiphase point , 1981, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[9]  W. A. Little,et al.  Analytic study of the memory storage capacity of a neural network , 1978 .

[10]  Richard F. Thompson,et al.  Neural mechanisms of goal-directed behavior and learning , 1980 .

[11]  F. Morrell,et al.  Conditioning of single units in visual association cortex: Cell-specific behavior within a small population , 1983, Experimental Neurology.

[12]  Michael E. Fisher,et al.  Infinitely Many Commensurate Phases in a Simple Ising Model , 1980 .

[13]  G. C. Quarton,et al.  The neurosciences : a study program , 1967 .

[14]  S. Wolfram Statistical mechanics of cellular automata , 1983 .

[15]  M. Fisher An infinity of commensurate phases in a simple Ising system: The ANNNI model (invited) , 1981 .

[16]  M. Verzeano,et al.  Neuronal Activity in Cortical and Thalamic Networks : A study with multiple microelectrodes , 1960 .

[17]  S. Andersson,et al.  Physiological basis of the alpha rhythm , 1968 .

[18]  D. Hubel,et al.  RECEPTIVE FIELDS OF CELLS IN STRIATE CORTEX OF VERY YOUNG, VISUALLY INEXPERIENCED KITTENS. , 1963, Journal of neurophysiology.

[19]  M. Verzeano 23 – The Activity of Neuronal Networks in Cognitive Function , 1980 .

[20]  W A Little,et al.  A statistical theory of short and long term memory. , 1975, Behavioral biology.

[21]  G L Shaw,et al.  Model of cortical organization embodying a basis for a theory of information processing and memory recall. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[22]  D. Hubel,et al.  SINGLE-CELL RESPONSES IN STRIATE CORTEX OF KITTENS DEPRIVED OF VISION IN ONE EYE. , 1963, Journal of neurophysiology.

[23]  Gordon L. Shaw,et al.  Analytic study of assemblies of Neurons in memory storage , 1980 .

[24]  Gordon L. Shaw,et al.  Persistent states of neural networks and the random nature of synaptic transmission , 1974 .

[25]  Sholl Da Organization of the Cerebral Cortex , 1967 .

[26]  S. Amari,et al.  Competition and Cooperation in Neural Nets , 1982 .