Non-locality Property of Neural Systems Based on Incursive Discrete Parabolic Equation

p. 233-244

Abstract

This paper shows that non-locality property occurs in simple diffusion neural equation: space local incursive discrete equation system transforms to a space non-local recursive equation system. The cable equation used for modelling the potential in neural membrane is similar to the Schrödinger quantum equation with a complex diffusion coefficient.

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References

Bibliographical reference

Daniel M. Dubois, « Non-locality Property of Neural Systems Based on Incursive Discrete Parabolic Equation », CASYS, 7 | 2000, 233-244.

Electronic reference

Daniel M. Dubois, « Non-locality Property of Neural Systems Based on Incursive Discrete Parabolic Equation », CASYS [Online], 7 | 2000, Online since 08 October 2024, connection on 13 November 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=3667

Author

Daniel M. Dubois

Centre for Hyperincursion and Anticipation in Ordered Systems, CHAOS asbl, Institute of Mathematics, B37, University of Liege, Grande Traverse 12, B-4000 LIEGE 1, Belgium

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Copyright

CC BY-SA 4.0 Deed