• Acta Physica Sinica
  • Vol. 68, Issue 7, 078701-1 (2019)
Xiao-Dan Xue1, Mei-Li Wang1、2, Yu-Zhu Shao1, and Jun-Song Wang1、*
Author Affiliations
  • 1School of Biomedical Engineering and Technology, Tianjin Medical University, Tianjin 300070, China
  • 2Cangzhou People's Hospital, Cangzhou 061000, China
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    DOI: 10.7498/aps.68.20182234 Cite this Article
    Xiao-Dan Xue, Mei-Li Wang, Yu-Zhu Shao, Jun-Song Wang. Neural firing rate homeostasis via inhibitory synaptic plasticity[J]. Acta Physica Sinica, 2019, 68(7): 078701-1 Copy Citation Text show less
    Structure of the feedback neural network.反馈神经回路模型结构
    Fig. 1. Structure of the feedback neural network.反馈神经回路模型结构
    The regulation rule of inhibitory synaptic plasticity (STDP).抑制性突触可塑性(STDP)调节规则示意图
    Fig. 2. The regulation rule of inhibitory synaptic plasticity (STDP).抑制性突触可塑性(STDP)调节规则示意图
    Firing rate homeostasis with the target firing rate equal to 5 Hz: (a) Neural membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为5 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Fig. 3. Firing rate homeostasis with the target firing rate equal to 5 Hz: (a) Neural membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为5 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Firing rate homeostasis with the target firing rate equal to 10 Hz: (a) Neuronal membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为10 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Fig. 4. Firing rate homeostasis with the target firing rate equal to 10 Hz: (a) Neuronal membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为10 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Firing rate homeostasis with the target firing rate equal to 20 Hz: (a) Neuronal membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为20 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Fig. 5. Firing rate homeostasis with the target firing rate equal to 20 Hz: (a) Neuronal membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为20 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Firing rate homeostasis with the target firing rate equal to 50 Hz: (a) Neuronal membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为50 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    Fig. 6. Firing rate homeostasis with the target firing rate equal to 50 Hz: (a) Neuronal membrane potential; (b) the average firing rate; (c) the strength of inhibitory synapse.目标放电率为50 Hz时的神经元放电率自稳态分析图 (a)神经元膜电位; (b)神经元平均放电率曲线; (c)抑制性突触权重变化曲线
    The simulation firing rate and target firing rate.神经元实际放电率跟踪目标放电率的总体情况
    Fig. 7. The simulation firing rate and target firing rate.神经元实际放电率跟踪目标放电率的总体情况
    The robustness of neural firing rate homeostasis under noise disturbances: (a) The noise signal; (b) neuronal membrane potential; (c) the average firing rate; (d) the strength of inhibitory synapse.噪声干扰下的神经元放电率鲁棒性 (a)噪声干扰信号; (b)神经元膜电位; (c)神经元平均放电率曲线; (d)抑制性突触权重变化曲线
    Fig. 8. The robustness of neural firing rate homeostasis under noise disturbances: (a) The noise signal; (b) neuronal membrane potential; (c) the average firing rate; (d) the strength of inhibitory synapse.噪声干扰下的神经元放电率鲁棒性 (a)噪声干扰信号; (b)神经元膜电位; (c)神经元平均放电率曲线; (d)抑制性突触权重变化曲线
    The robustness of neural firing rate homeostasis under parameter perturbation: (a) The parameter perturbation signal; (b) neuronal membrane potential; (c) the average firing rate; (d) the strength of inhibitory synapse.参数摄动下的放电率自稳态鲁棒性 (a)参数摄动信号; (b)神经元膜电位; (c)神经元平均放电率曲线; (d)抑制性突触权重变化曲线
    Fig. 9. The robustness of neural firing rate homeostasis under parameter perturbation: (a) The parameter perturbation signal; (b) neuronal membrane potential; (c) the average firing rate; (d) the strength of inhibitory synapse.参数摄动下的放电率自稳态鲁棒性 (a)参数摄动信号; (b)神经元膜电位; (c)神经元平均放电率曲线; (d)抑制性突触权重变化曲线
    The firing rate characteristics with and without inhibitory synaptic plasticity under parameter perturbation: (a) The parameter perturbation signal; (b) neural membrane potential; (c) the average firing rate; (d) the strength of inhibitory synapse.参数干扰时有无抑制性突触可塑性两种情况下的神经元平均放电率自稳态特性 (a)参数摄动信号; (b)神经元膜电位; (c)神经元平均放电率曲线; (d)抑制性突触权重变化曲线
    Fig. 10. The firing rate characteristics with and without inhibitory synaptic plasticity under parameter perturbation: (a) The parameter perturbation signal; (b) neural membrane potential; (c) the average firing rate; (d) the strength of inhibitory synapse.参数干扰时有无抑制性突触可塑性两种情况下的神经元平均放电率自稳态特性 (a)参数摄动信号; (b)神经元膜电位; (c)神经元平均放电率曲线; (d)抑制性突触权重变化曲线
    The effect of learning rate on neural firing rate homeostasis: (a) The parameter perturbation signal; (b) the firing rate with different learning rates.学习率对放电率自稳态的影响 (a)参数摄动信号; (b)不同学习率时的神经元平均放电率曲线
    Fig. 11. The effect of learning rate on neural firing rate homeostasis: (a) The parameter perturbation signal; (b) the firing rate with different learning rates.学习率对放电率自稳态的影响 (a)参数摄动信号; (b)不同学习率时的神经元平均放电率曲线
    The limitation value of neural firing rate.神经元实际放电率极限值
    Fig. 12. The limitation value of neural firing rate.神经元实际放电率极限值
    Establishing a set point for the neuronal firing rate[43].目标放电率的确定[43]
    Fig. 13. Establishing a set point for the neuronal firing rate[43]. 目标放电率的确定[43]
    参数描述取值
    NE兴奋性神经元规模800
    NI抑制性神经元规模200
    PEEE-E的连接概率0.2
    PEIE-I的连接概率0.4
    PIEI-E的连接概率0.4
    PIII-I的连接概率0.4
    Table 1.

    Parameters values of the neural feedback model structure.

    神经网络结构相关参数取值

    参数取值单位
    ${\tau _{\rm{m}}}$20ms
    ${V^{{\rm{rest}}}}$–60mV
    ${V_{{\rm{th}}}}$–50mV
    ${V^{\rm{E}}}$0mV
    ${V^{\rm{I}}}$–70mV
    ${g^{{\rm{leak}}}}$10nS
    Table 2.

    Parameters values of LIF neuron model.

    神经元模型各参数取值

    参数取值单位
    ${\tau _{\rm{E}}}$5ms
    ${\tau _{\rm{I}}}$10ms
    ${\bar g^{\rm{E}}}$140pS
    ${\bar g^{\rm{I}}}\normalsize$350pS
    Table 3.

    Parameters values of synapse model.

    突触模型参数取值

    参数描述取值
    ${W_{ij}}^{}$抑制性突触权重0
    ${\tau _{{\rm{STDP}}}}$可塑性时间常数20
    $\eta $学习率0.005
    $\alpha $抑制因子0.12
    ${\rho _0}\normalsize$目标放电率
    Table 4.

    Parameters values of inhibitory synaptic plasticity.

    抑制性突触可塑性的参数取值

    Xiao-Dan Xue, Mei-Li Wang, Yu-Zhu Shao, Jun-Song Wang. Neural firing rate homeostasis via inhibitory synaptic plasticity[J]. Acta Physica Sinica, 2019, 68(7): 078701-1
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