High-frequency firing activity can be induced either naturally in a healthy brain as a result of the processing of sensory stimuli or as an uncontrolled synchronous activity characterizing epileptic seizures. As part of this work, we investigate how logic circuits that are engineered in neurons can be used to design spike filters, attenuating high-frequency activity in a neuronal network that can be used to minimize the effects of neurodegenerative disorders such as epilepsy. We propose a reconfigurable filter design built from small neuronal networks that behave as digital logic circuits. We developed a mathematical framework to obtain a transfer function derived from a linearization process of the Hodgkin-Huxley model. Our results suggest that individual gates working as the output of the logic circuits can be used as a reconfigurable filtering technique. Also, as part of the analysis, the analytical model showed similar levels of attenuation in the frequency domain when compared to computational simulations by fine-tuning the synaptic weight. The proposed approach can potentially lead to precise and tunable treatments for neurological conditions that are inspired by communication theory.

中文翻译：

---

使用综合工程逻辑电路对神经尖峰通信进行可重构滤波

作为感觉刺激处理的结果或作为表征癫痫发作的不受控制的同步活动的结果，可以在健康大脑中自然地诱导高频放电活动。作为这项工作的一部分，我们研究了如何使用在神经元中设计的逻辑电路来设计尖峰滤波器，减弱神经元网络中的高频活动，从而最大限度地减少癫痫等神经退行性疾病的影响。我们提出了一种可重构滤波器设计，该设计由充当数字逻辑电路的小型神经元网络构建而成。我们开发了一个数学框架来获得从 Hodgkin-Huxley 模型的线性化过程中导出的传递函数。我们的结果表明，作为逻辑电路输出的各个门可以用作可重新配置的滤波技术。此外，作为分析的一部分，与通过微调突触权重的计算模拟相比，分析模型在频域中显示出类似的衰减水平。所提出的方法可能会导致对受通信理论启发的神经系统疾病进行精确和可调的治疗。