心理科学进展 ›› 2025, Vol. 33 ›› Issue (8): 1321-1339.doi: 10.3724/SP.J.1042.2025.1321 cstr: 32111.14.2025.1321
收稿日期:2024-10-16
出版日期:2025-08-15
发布日期:2025-05-15
通讯作者:
雷旭, E-mail: xlei@swu.edu.cn基金资助:Received:2024-10-16
Online:2025-08-15
Published:2025-05-15
摘要:
功率谱分析是EEG/MEG数据处理中的常用方法, 近年来越来越多的研究者认识到功率谱的非周期性成分具有独特的生理意义与应用价值。随着国际上以频谱参数拟合算法(SpecParam)为代表的工具包的推广使用, 静息态EEG/MEG的非周期分析受到广泛关注。本文首先介绍了在高密度EEG/MEG中进行非周期分析的常规流程。之后总结应用上的两个主要进展: 在发展神经科学方面, 老年人的频谱平坦化与认知表现下降、睡眠质量变差高度相关。在临床应用方面, 非周期性参数可以作为多种神经精神疾病的电生理标志物。目前, 非周期分析还缺少对全脑空间分布的关注, 其神经生理生成机制尚处于探索期, 未来需要结合多模态脑成像技术、实验设计等创新方向进一步筑牢理论基础, 拓展应用范围。
中图分类号:
胡静怡, 白朵, 雷旭. (2025). 静息态EEG/MEG的非周期性成分: 分析流程、应用进展和未来前景. 心理科学进展 , 33(8), 1321-1339.
HU Jingyi, BAI Duo, LEI Xu. (2025). Aperiodic components of resting-state EEG/MEG: Analysis procedures, application advances and future prospects. Advances in Psychological Science, 33(8), 1321-1339.
图1 频谱分析中区分非周期与周期性成分的必要性: 非周期分析将某个电极的信号转换为频谱(蓝色实线), 在窄带内(蓝色阴影)提取(a.i)周期性成分(频谱在虚线上方的部分)与非周期性成分(虚线), 其中非周期性成分主要有(a.ii)指数和偏移量两个参数。传统频谱分析判断窄带内频谱能量有无差异时, 以下情况可能会错误认为与(b)振荡功率降低产生类似的总功率变化: (c)周期活动仅改变峰值频率; 仅有非周期活动变化如(d)偏移量或(e)指数的改变。彩图见电子版, 下同。
| 工具包名称 | 频谱分离参数化情况 | 算法基础 | 拟合空间 | 优点 | 缺点 | 参考文献 | |
|---|---|---|---|---|---|---|---|
| 非周期 性成分 | 周期性 成分 | ||||||
| SpecParam (FOOOF) | √ | √ | 高斯拟合、 幂律函数 | 对数功率−频率 | 不需要预先定义特定的感兴趣频带和控制非周期性成分。 | ①拟合频率范围局限在窄带的低频或高频时性能较差 ②模型驱动, 受预设参数影响大 ③难以表征无法明确区分的振荡峰值(重叠峰) ④跨频率范围边界的振荡会导致指数误差增大 | Donoghue et al., |
| SPRiNT | √ | √ | 高斯拟合、 幂律函数 | 对数功率−频率 | 将Specparam与短时傅里叶变换相结合, 实现了时间分辨频谱参数化 | ①高估峰值带宽, 低估峰值数量 ②存在非周期性拐点(knee)时, 性能下降 | Wilson et al., |
| PAPTO | √ | √ | 高斯拟合、 幂律函数 | 对数功率−频率 | 对皮层瞬时β节律活动敏感 | - | Brady & Bardouille, |
| IRASA/MRCSA | √ | × | 重采样 | 对数功率−对数频率 | ①可估计频率范围边界上的周期性成分 ②MRCSA可用于分析两个同时记录的神经信号的交叉频谱 | ①缺乏明确的参数化以便进一步分析 ②受到重采样因子大小影响 ③难以表征无法明确区分的振荡峰值(重叠峰) ④存在大带宽峰值或非周期性拐点(knee)时, 性能下降 | Wen & Liu, Racz et al., |
| BOSC | √ | × | 卡方分布 | 对数功率−对数频率 | 能够正确拒绝非振荡的瞬态事件 | ①通常假设非周期分量是不变的 ②缺乏去除频谱峰值干扰的系统预处理步骤 | Whitten et al., |
| MODAL | × | √ | 频率滑动法 | 对数功率−对数频率 | 确保仅在感兴趣频带中功率增加的时间段内获得相位和频率估计。 | 通常假设非周期分量是不变的 | Watrous et al., |
| ξ-α | √ | × | t检验 | 原始数据 | 关注α节律峰值 | - | Pascual-marqui et al., |
| ξ-π | √ | √ | 单模态与多模态 | 原始数据 | ①对不规则频谱形状具有较好鲁棒性 ②对所有类型周期信号进行无偏识别 | - | Hu et al., |
表1 常用的非周期分析工具包和主要特点
| 工具包名称 | 频谱分离参数化情况 | 算法基础 | 拟合空间 | 优点 | 缺点 | 参考文献 | |
|---|---|---|---|---|---|---|---|
| 非周期 性成分 | 周期性 成分 | ||||||
| SpecParam (FOOOF) | √ | √ | 高斯拟合、 幂律函数 | 对数功率−频率 | 不需要预先定义特定的感兴趣频带和控制非周期性成分。 | ①拟合频率范围局限在窄带的低频或高频时性能较差 ②模型驱动, 受预设参数影响大 ③难以表征无法明确区分的振荡峰值(重叠峰) ④跨频率范围边界的振荡会导致指数误差增大 | Donoghue et al., |
| SPRiNT | √ | √ | 高斯拟合、 幂律函数 | 对数功率−频率 | 将Specparam与短时傅里叶变换相结合, 实现了时间分辨频谱参数化 | ①高估峰值带宽, 低估峰值数量 ②存在非周期性拐点(knee)时, 性能下降 | Wilson et al., |
| PAPTO | √ | √ | 高斯拟合、 幂律函数 | 对数功率−频率 | 对皮层瞬时β节律活动敏感 | - | Brady & Bardouille, |
| IRASA/MRCSA | √ | × | 重采样 | 对数功率−对数频率 | ①可估计频率范围边界上的周期性成分 ②MRCSA可用于分析两个同时记录的神经信号的交叉频谱 | ①缺乏明确的参数化以便进一步分析 ②受到重采样因子大小影响 ③难以表征无法明确区分的振荡峰值(重叠峰) ④存在大带宽峰值或非周期性拐点(knee)时, 性能下降 | Wen & Liu, Racz et al., |
| BOSC | √ | × | 卡方分布 | 对数功率−对数频率 | 能够正确拒绝非振荡的瞬态事件 | ①通常假设非周期分量是不变的 ②缺乏去除频谱峰值干扰的系统预处理步骤 | Whitten et al., |
| MODAL | × | √ | 频率滑动法 | 对数功率−对数频率 | 确保仅在感兴趣频带中功率增加的时间段内获得相位和频率估计。 | 通常假设非周期分量是不变的 | Watrous et al., |
| ξ-α | √ | × | t检验 | 原始数据 | 关注α节律峰值 | - | Pascual-marqui et al., |
| ξ-π | √ | √ | 单模态与多模态 | 原始数据 | ①对不规则频谱形状具有较好鲁棒性 ②对所有类型周期信号进行无偏识别 | - | Hu et al., |
图2 标准化的高密度EEG/MEG非周期/周期分析流程框架。步骤1: (a.i)使用SpecParam工具包进行单个电极水平的估计, 每个电极将得到(a.ii)周期性参数、(a.iii)非周期性参数、拟合优度R2与残差error, 其中周期性参数从每个电极的所有拟合峰中选择最大功率的作为每个电极的代表值。步骤2: 被试水平的评估, 对拟合度达不到要求的电极数过多的被试进行剔除。(b.i-ii)将所有电极的非周期性参数及代表周期性参数取平均值作为该被试的参数化结果。步骤3: (b.iii)组水平的统计。由于每个被试都得到了非周期性成分和周期性成分, 可采用描述性统计或假设检验进行统计。
图3 单电极水平上SpecParam的算法步骤: (a)初始非周期拟合: 对原始功率谱密度拟合估计非周期性成分; (b)扁平化频谱: 从原始PSD中减去非周期估计成分, 残差被假设为多个周期性成分和噪声的混合; (c.i)检测峰: 使用迭代过程来查找扁平化频谱中的峰值。找到残差最大值并围绕该峰值拟合高斯曲线, (c.ii)减去拟合的高斯曲线并继续拟合, (c.iii)当下一个识别点低于绝对/相对阈限或拟合峰数超过拟合最大峰值数时迭代停止; (d)创建全峰拟合: 根据高于噪声阈值的峰值数确定振荡的数量后, 对来自(b)的扁平化频谱执行多高斯拟合, 得到所有周期性成分的联合功率(图中橘色圆点标记), 包括每个峰的3个参数: 中心频率、能量和宽度; (e)创建去全峰频谱: 从原始功率谱密度中减去(d)计算的联合功率得到去全峰频谱; (f)重新拟合非周期分量: 在去全峰频谱中重新拟合非周期性成分, 得到指数和偏移量;将(d)联合功率与(f)非周期性成分的重新拟合相结合获得最终拟合(g)。
| 实验 条件 | 分析 工具 | 被试与涉及疾病 | 主要结果 | 参考文献 | ||
|---|---|---|---|---|---|---|
| 非周期 性指数 | 非周期 性偏移量 | 调整后的周期性成分 | ||||
| 静息态 睁眼 | 线性 回归 | 雷特综合征(n = 57)、健康对照组(n = 37) | ↑ | - | 增加的δ功率与较低的认知评估相关 | Roche et al., |
| SpecParam | 小儿脆性X染色体综合征(n = 11)、年龄匹配组(n = 12)、认知匹配组(n = 12) | ↓ | - | 小儿脆性X染色体综合征个体额叶γ功率增加 | Wilkinson & Nelson, | |
| 帕金森病(分为用药与停药; n = 15)、健康对照组(n = 16) | ↑ | ↑ | 帕金森病组θ范围的混合功率高于健康对照组 | Wang et al., | ||
| 注意力缺陷与多动障碍(n = 33)、健康对照组(n = 33) | ↑ | - | 注意力缺陷与多动障碍组的β功率高于健康对照组 | Dakwar-kawar et al., | ||
| 首发精神分裂症谱系障碍(n = 43)、健康对照组(n = 28) | - | ↓ | - | Earl et al., | ||
| 静息态 闭眼 | 阿尔茨海默症(n = 36)、额颞叶痴呆(n = 23)、健康对照组(n = 29) | ↑ | ↑ | 与额颞叶痴呆组相比, 阿尔茨海默症组的θ功率更高 | Wang et al., | |
| 阿尔茨海默症(n = 43)、健康对照组(n = 33) | - | - | 阿尔茨海默症组功率显著降低; 阿尔茨海默症与非周期性脑电活动的变化无关 | Kopčanová et al., | ||
| 全面发作性癫痫(n = 51)、健康对照组(n = 49) | ↑ | - | 全面发作性癫痫组频谱指数与α功率的负相关程度下降 | Kopf et al., | ||
| IRASA | 路易体痴呆(n = 21)、帕金森病(n = 28)、轻度认知障碍(n = 27)、健康对照组(n = 22) | ↑ | - | 与健康对照、轻度认知障碍与帕金森病组相比, 路易体痴呆个体表现出更高的θ功率 | Rosenblum et al., | |
表2 神经精神疾病中的非周期分析
| 实验 条件 | 分析 工具 | 被试与涉及疾病 | 主要结果 | 参考文献 | ||
|---|---|---|---|---|---|---|
| 非周期 性指数 | 非周期 性偏移量 | 调整后的周期性成分 | ||||
| 静息态 睁眼 | 线性 回归 | 雷特综合征(n = 57)、健康对照组(n = 37) | ↑ | - | 增加的δ功率与较低的认知评估相关 | Roche et al., |
| SpecParam | 小儿脆性X染色体综合征(n = 11)、年龄匹配组(n = 12)、认知匹配组(n = 12) | ↓ | - | 小儿脆性X染色体综合征个体额叶γ功率增加 | Wilkinson & Nelson, | |
| 帕金森病(分为用药与停药; n = 15)、健康对照组(n = 16) | ↑ | ↑ | 帕金森病组θ范围的混合功率高于健康对照组 | Wang et al., | ||
| 注意力缺陷与多动障碍(n = 33)、健康对照组(n = 33) | ↑ | - | 注意力缺陷与多动障碍组的β功率高于健康对照组 | Dakwar-kawar et al., | ||
| 首发精神分裂症谱系障碍(n = 43)、健康对照组(n = 28) | - | ↓ | - | Earl et al., | ||
| 静息态 闭眼 | 阿尔茨海默症(n = 36)、额颞叶痴呆(n = 23)、健康对照组(n = 29) | ↑ | ↑ | 与额颞叶痴呆组相比, 阿尔茨海默症组的θ功率更高 | Wang et al., | |
| 阿尔茨海默症(n = 43)、健康对照组(n = 33) | - | - | 阿尔茨海默症组功率显著降低; 阿尔茨海默症与非周期性脑电活动的变化无关 | Kopčanová et al., | ||
| 全面发作性癫痫(n = 51)、健康对照组(n = 49) | ↑ | - | 全面发作性癫痫组频谱指数与α功率的负相关程度下降 | Kopf et al., | ||
| IRASA | 路易体痴呆(n = 21)、帕金森病(n = 28)、轻度认知障碍(n = 27)、健康对照组(n = 22) | ↑ | - | 与健康对照、轻度认知障碍与帕金森病组相比, 路易体痴呆个体表现出更高的θ功率 | Rosenblum et al., | |
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