High frequency stimulation (HFS) has been used to treat various neurological and psychiatric diseases. Although further disorders are under investigation to extend the clinical application of HFS, the complex effect of HFS within a neuronal network is still unknown. Thus, it would be desirable to find a theoretical model that allows an estimation of the expected effect of applied HFS. Based on the neurochemical analysis of effects of the γ-aminobutyric acid (GABA)_A receptor antagonist bicuculline, the D2-like receptor antagonist sulpiride and the D1-like receptor antagonist SCH-23390 on HFS evoked GABA and dopamine (DA) release from striatal slices of the rat brain, a mathematical network model is proposed including the neurotransmitters GABA, DA and glutamate (GLU). The model reflects inhibitory and excitatory interactions of the neurotransmitters outflow in the presence of HFS. Under the assumption of linear interactions and static measurements, the model is expressed analytically. Numerical identification of inhibition and excitation is performed on a basis of real outflow levels of GABA and DA in the rat striatum. Results validate the nature of the proposed model. Therefore, this leads to an analytical model of the interactions within distinct neural network components of the rat striatum.

中文翻译：

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大鼠大脑纹状体切片中由GABA和DA组成的神经元网络的数学鉴定

高频刺激（HFS）已被用于治疗各种神经和精神疾病。尽管正在研究进一步的疾病以扩展HFS的临床应用，但是HFS在神经元网络内的复杂作用仍是未知的。因此，期望找到一种理论模型，其允许估计所施加的HFS的预期效果。基于神经化学分析γ-氨基丁酸（GABA）_A的作用HFS诱发大鼠大脑纹状体切片上的GABA和多巴胺（DA）释放的受体拮抗剂双小分子，类D2类受体拮抗剂sulpiride和类D1类受体拮抗剂SCH-23390，提出了包括神经递质GABA在内的数学网络模型， DA和谷氨酸（GLU）。该模型反映了HFS存在时神经递质流出的抑制性和兴奋性相互作用。在线性相互作用和静态测量的假设下，该模型以解析方式表示。基于大鼠纹状体中GABA和DA的实际流出水平，对抑制和激发进行了数值鉴定。结果验证了所提出模型的性质。因此，这导致了大鼠纹状体不同神经网络组件内相互作用的分析模型。