Abstract
This paper describes computer simulation of 100 artificial neurons interconnected in mutually exciting random pools. The individual neuromimes include accommodation according to an extended version of Hill's model and adaptation according to an extended version of Kernell's model. The main finding is that the constituent cells of the pools tend to fire in coordinated bursts and that these bursts recur rhythmically. The rate of burst recurrence depends primarily on the time constant of recovery of the after-hyperpolarization conductance change although it may be slightly altered by the average level of random background activity. It does not seem possible to attribute the salient slow rhythm observed in the rat mesencephalic reticular formation to this mechanism, as matching the data requires absurdly large values of the conductance change recovery time constant.
Similar content being viewed by others
References
Andersen,P., Gillow,M., Rudjord,T.: Rhythmic activity in a simulated neuronal network. J. Physiol. (Lond.) 185, 418–428 (1966)
Anninos,A.: Cyclic modes in artificial neural nets. Kybernetik 11, 5–14 (1973)
Cohen,I.: Synchronization of discharge, spontaneous and evoked, between inspiratory neurons. Acta Neurobiol. Exp. 33, 189–218 (1973)
Farley,B.G., Clark,W.A.: Activity in networks of neuron-like elements. Information Theory (Fourth London Symposium). London: Cherry 1961
Harmon,L.D.: Neuromimes: Action of a reciprocally inhibitory pair. Science 146, 1323–1325 (1961)
Kling,U., Székely,G.: Simulation of rhythmic neurons activity I. Function of nets with cyclic inhibitions. Kybernetik 5, 89–103 (1968)
MacGregor,R.J.: A model for reticular-like networks: Ladder nets, recruitment fuses, and sustained responses. Brain Res. 41, 345–363 (1972)
MacGregor,R.J., Radcliff,C.: A random-walk model for reverberatory pathways in reticular-like networks. Brain Res. 63, 374–379 (1973)
MacGregor,R.J., Sharpless,S.K.: Repetitive discharee rate of a simple neuron model with accumulation of after-hyperpolarization conductance. Brain Res. 64, 387–390 (1973)
MacGregor,R.J., Prieto-Diaz,R., Miller,S.W., Groves,P.M.: Statistical properties of neurons in the rat mesencephalic reticular formation. Brain Res. 64, 167–187 (1973)
MacGregor,R.J., Miller,S.W., Groves,P.M.: Cross-correlation histograms from simultaneously recorded spike trains in the rat mesencephalic reticular formation (subm. for publ.)
MacGregor,R.J., Oliver,R.M.: Model for repetitive firing in neurons. Kybernetik 16, 53–64 (1974)
Reiss,R.F.: A theory and simulation of rhythmic behavior due to reciprocal inhibition in small nerve nets. Proc. AFIPS Spring Joint Computer Conference. 21, 171–193 (1962)
Rochester,N., HolIand,J.H., Haibt,L.H., Duda,W.L.: Tests on a cell assembly theory of the action of the brain, using a large ditital computer, IRE (Inst. Radio Engrs.). Trans. Inform. Theory IT-2, 80–93 (1956)
Wilson,D.M., Waldron,I.: Models for the generation of the motor output pattern in flying locusts. Proc. IEEE on Biomed. Engr., June, 1968
Author information
Authors and Affiliations
Additional information
Supported by National Science Foundation Grant Number GB-33687.
Rights and permissions
About this article
Cite this article
MacGregor, R.J., Palasek, R.L. Computer simulation of rhythmic oscillations in neuron pools. Kybernetik 16, 79–86 (1974). https://doi.org/10.1007/BF00271630
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00271630