痴呆症脑网络神经动力学EEG分析方法论。通过频谱功率、Lyapunov指数、相位同步区分阿尔茨海默病(AD)和额颞叶痴呆(FTD)。适用于痴呆症诊断、脑网络分析。触发词:痴呆症、阿尔茨海默、FTD、EEG、脑网络、neurodynamics。
通过多维度 EEG 指标表征 AD 和 FTD 的差异化神经动力学。
来源: arXiv:2507.08728 效用: 1.0
| 特征 | AD | FTD |
|---|---|---|
| 协调性 | 低 | 较高 |
| 连接性 | 低 | 保留 |
| 随机性 | 高 | 低 |
import numpy as np
from scipy import signal
def compute_lyapunov(eeg, m=10, tau=10):
"""计算Lyapunov指数"""
n = len(eeg)
embedded = np.array([eeg[i:i+m] for i in range(0, n-m, tau)])
lyap_sum, count = 0, 0
for i in range(len(embedded)-1):
d = np.linalg.norm(embedded - embedded[i], axis=1)
d[i] = np.inf
nearest = np.argmin(d)
if i+1 < len(embedded) and nearest+1 < len(embedded):
lyap_sum += np.log(d[nearest+1]/d[nearest]+1e-10)
count += 1
return lyap_sum/count if count > 0 else 0
def compute_plv(eeg1, eeg2):
"""相位锁定值"""
p1 = np.angle(signal.hilbert(eeg1))
p2 = np.angle(signal.hilbert(eeg2))
return np.abs(np.mean(np.exp(1j*(p1-p2))))
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