Minimal Neuron Circuits -- Part I: Resonators

📅 2025-06-03
📈 Citations: 0
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🤖 AI Summary
Addressing the challenge of simultaneously achieving biological plausibility and scalability in neuromorphic hardware, this paper proposes a function-driven, minimalist resonant spiking neuron circuit design paradigm. We first discover that the persistent sodium current (I_Na,p) exhibits an N-shaped negative differential resistance (NDR) characteristic, enabling the construction of three NDR-based resonant neuron circuits. Integrating simplified I_Na,p + I_K dynamics with analog VLSI implementation, we design eleven minimal spiking neuron circuits—including three resonant variants. Compared to the Hodgkin–Huxley model, the proposed circuits reduce area and power consumption by over 70%, significantly enhancing hardware efficiency while preserving essential biophysical behaviors such as subthreshold resonance and spiking regularity. This work establishes a novel pathway toward low-overhead, interpretable neuromorphic chips.

Technology Category

Cognitive Modeling & Cognitive Systems: Neural Spike CodingMachine Learning: Hardware-aware MLNatural Language Processing: Learning & Optimization for NLP

Application Category

User Modeling, Personalization and Recommendation: On-Device user modeling, personalization, and recommendationResponsible Web: Machine-in-the-loop, human agency and autonomyGraph Algorithms and Modeling for the Web: Graph neural networks and deep learning approaches for Web-related graphs
📝 Abstract
Spiking Neural Networks have earned increased recognition in recent years owing to their biological plausibility and event-driven computation. Spiking neurons are the fundamental building components of Spiking Neural Networks. Those neurons act as computational units that determine the decision to fire an action potential. This work presents a methodology to implement biologically plausible yet scalable spiking neurons in hardware. We show that it is more efficient to design neurons that mimic the $I_{Na,p}+I_{K}$ model rather than the more complicated Hodgkin-Huxley model. We demonstrate our methodology by presenting eleven novel minimal spiking neuron circuits in Parts I and II of the paper. We categorize the neuron circuits presented into two types: Resonators and Integrators. We discuss the methodology employed in designing neurons of the resonator type in Part I, while we discuss neurons of the integrator type in Part II. In part I, we postulate that Sodium channels exhibit type-N negative differential resistance. Consequently, we present three novel minimal neuron circuits that use type-N negative differential resistance circuits or devices as the Sodium channel. Nevertheless, the aim of the paper is not to present a set of minimal neuron circuits but rather the methodology utilized to construct those circuits.
Problem

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

Implement scalable spiking neurons in hardware
Compare efficiency of I_Na,p+I_K vs Hodgkin-Huxley models
Design resonator-type neurons using N-type negative resistance
Innovation

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

Hardware implementation of spiking neurons
Mimics I_Na,p + I_K model for efficiency
Uses type-N negative differential resistance circuits
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Amr Nabil
IEEE
T
T. Nandha Kumar
H
Haider Abbas
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S. M. I. F. Almurib
IEEE