本文選題：放電頻率適應性 + 外電場�。� 參考：《天津大學》2012年碩士論文

【摘要】：神經(jīng)系統(tǒng)是復雜的非線性系統(tǒng)，神經(jīng)元是其基本單元。放電頻率適應性是神經(jīng)元動態(tài)特性的一個顯著方面，在神經(jīng)信息處理過程中起著重要的作用。外部電場會改變神經(jīng)系統(tǒng)的動態(tài)行為，影響神經(jīng)系統(tǒng)信息的產(chǎn)生和傳導。 首先，建立外電場作用下單神經(jīng)元模型，通過數(shù)值分析得到了膜電位變化曲線、放電頻率曲線和隨輸入變化的初始放電頻率曲線；通過ISI相關(guān)性分析，發(fā)現(xiàn)直流外電場幅值越小時，單神經(jīng)元模型有較好的適應性；交流外電場刺激下，，當交流外電場的幅值較小、頻率較大時，單神經(jīng)元模型表現(xiàn)出良好的適應性。 其次，構(gòu)建了兩個耦合神經(jīng)元的數(shù)學模型，通過數(shù)值分析發(fā)現(xiàn)當刺激信號較大時，兩個耦合神經(jīng)元模型表現(xiàn)出同步現(xiàn)象。根據(jù)得到的放電頻率曲線和分析ISI相關(guān)性，發(fā)現(xiàn)外電場對兩個耦合神經(jīng)元模型的適應性的影響。 最后，本文采用Strogatz和Watts提出的隨機重連方法構(gòu)建了小世界網(wǎng)絡，并得到了放電頻率曲線；通過對放電頻率進行分析，發(fā)現(xiàn)小世界網(wǎng)絡模型中的參數(shù)重連概率和神經(jīng)元數(shù)目對模型的適應性不會產(chǎn)生明顯影響，而耦合強度g會對神經(jīng)元網(wǎng)絡的適應性產(chǎn)生明顯的變化。通過選擇合適的參數(shù)，發(fā)現(xiàn)對于外電場的幅值和頻率作用規(guī)律，小世界網(wǎng)絡模型表現(xiàn)良好適應性時與單神經(jīng)元模型和兩個耦合神經(jīng)元模型是相同的。 本文的研究結(jié)果揭示了外電場的幅值和頻率對神經(jīng)元及神經(jīng)元網(wǎng)絡適應性的作用規(guī)律，這有助于探尋外電場對生物神經(jīng)系統(tǒng)的影響和神經(jīng)系統(tǒng)疾病的致病機理。
[Abstract]:The nervous system is a complex nonlinear system, and the neuron is its basic unit. The adaptation of discharge frequency is a significant aspect of the dynamic characteristics of neurons and plays an important role in the process of neural information processing. External electric field will change the dynamic behavior of nervous system and affect the generation and transmission of nervous system information. First of all, the model of outer electric field sending order neuron is established, and the membrane potential curve, discharge frequency curve and initial discharge frequency curve with input are obtained by numerical analysis. It is found that the smaller the amplitude of DC external electric field, the better the adaptability of single neuron model, and the better adaptability of single neuron model is when the amplitude of AC external electric field is small and the frequency of AC external electric field is larger. Secondly, the mathematical model of two coupling neurons is constructed. The numerical analysis shows that the two coupled neuron models exhibit synchronization phenomenon when the stimulus signal is large. According to the discharge frequency curve and the analysis of ISI correlation, the influence of external electric field on the adaptability of the two coupled neuron models was found. Finally, the small world network is constructed by using the random reconnection method proposed by Strogatz and Watts, and the discharge frequency curve is obtained, and the discharge frequency is analyzed. It is found that the probability of parameter reconnection and the number of neurons in the small-world network model have no significant effect on the adaptability of the model, but the coupling strength g will have a significant change on the adaptability of the neural network. By selecting appropriate parameters, it is found that the small-world network model is the same as the single neuron model and two coupled neuron models when the small world network model exhibits good adaptability to the amplitude and frequency of the external electric field. The results of this paper reveal the effects of the amplitude and frequency of external electric field on the adaptation of neurons and neural networks, which is helpful to explore the effects of external electric fields on biological nervous system and the pathogenesis of nervous system diseases.
【學位授予單位】：天津大學
【學位級別】：碩士
【學位授予年份】：2012
【分類號】：R338

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