Electronic Bursting Neuron: design, equations and hardware implementation

📅 2026-07-02
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
Existing electronic neuron designs struggle to simultaneously achieve low complexity, functional completeness, and mathematical tractability, thereby limiting their applicability in spiking neural networks. This work proposes a novel bursting electronic neuron architecture grounded in phase-locked loop system equations, employing a hybrid design paradigm that prioritizes target dynamics followed by hardware-aware reverse adaptation. By innovatively integrating phenomenological modeling with circuit simplification strategies, the approach circumvents both direct implementation of complex biophysical models and post-hoc equation fitting. The resulting neuron exhibits a compact structure, controllable dynamics, and strong theoretical analyzability while remaining amenable to hardware realization, making it well-suited for efficient modeling of individual neurons and small-scale neural circuits.
📝 Abstract
Electronic neurons are a keystone for construction of the spiking neural networks which have numerous applications in neuroprosthetics, artificial memory, intensive calculations etc. A number of concepts of electronic neurons has been already proposedm with some of them implemented in hardware. However, new schemes are of significant interest since the existing ones do not fit all requirements: either they are too complex and expensive in realization, or they are not able to demonstrate all demanded regimes, or their do not have a appropriate mathematical description and therefore may be investigated only experimentally etc. In this study we propose a new design of bursting electronic neuron constructed as a circuit implementation of the equations of a phase-locked loop system. To succeed, we use a novel hybrid approach: we start from the phenomenological equations providing the demanded, then we adjust and modify these equations to simplify the implementation rather than implementing the biophysical equations into thee hardware directly or writing equations for the already constructed circuit. The resulting circuit is simple in implementation and well matches the underlying equations. It can be used for description of not only a single neuron, but small neural circuits too.
Problem

Research questions and friction points this paper is trying to address.

electronic neuron
bursting
hardware implementation
spiking neural networks
mathematical modeling
Innovation

Methods, ideas, or system contributions that make the work stand out.

electronic neuron
bursting dynamics
phase-locked loop
hybrid modeling approach
hardware implementation
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L
Lev V. Takaishvili
Peter the Great St. Petersburg Polytechnic University, Russia; Saratov Branch of Kotelnikov Institute of Radioengineering and Electronics of RAS, Russia
V
Vladimir I. Ponomarenko
Saratov State University, Russia; Saratov Branch of Kotelnikov Institute of Radioengineering and Electronics of RAS, Russia
M
Maksim V. Kornilov
Peter the Great St. Petersburg Polytechnic University, Russia; Saratov Branch of Kotelnikov Institute of Radioengineering and Electronics of RAS, Russia
I
Ilya V. Sysoev
Peter the Great St. Petersburg Polytechnic University, Russia; Saratov Branch of Kotelnikov Institute of Radioengineering and Electronics of RAS, Russia