arXiv:2607.10439q-bio.NCcs.AI2026-07

用物理模型构建脑机接口的数字孪生,精准还原脑电动态。

A Physics-Inspired Classical Digital Twin of Cortical Dynamics: A Band-Stratified Metriplectic Port-Hamiltonian Neural Network Learned from Brain-Computer-Interface EEG

论文配图:A Physics-Inspired Classical Digital Twin of Cortical Dynamics: A Band-Stratified Metriplectic Port-Hamiltonian Neural Network Learned from Brain-Computer-Interface EEG
图 1 · 摘自论文原文
  • 基于频带分层的哈密顿神经网络,保留能量守恒与系统稳定性。
  • 在110万组脑电信号上重建误差仅1.30×10⁻⁴,逼近真实数据。
  • 结构天然满足能量守恒,适合闭环神经调控算法测试。

我们提出一种受物理启发的经典数字孪生模型,用于脑机接口(BCI)脑电信号:一种基于图神经网络、约束为频带分层的度量-斜对称端口-哈密顿形式的模型,参数由静息态与运动想象时的头皮脑电数据学习得到。端口-哈密顿结构是一种建模选择,带来无源性、可验证的稳态功率平衡及储能、传能、耗散的清晰分离,并非宣称大脑本质如此。状态变量将每通道的瞬时相位与其角频率配对,存储能量按五种经典频带分解。来自相同记录的相位锁定先验约束了学习到的脑连接组,而度量-斜对称形式使数字孪生维持于代谢端口驱动的非平衡稳态。在PhysioNet EEG Motor Movement/Imagery数据库中,基于1,109,250个相量样本,在无泄漏划分下拟合,其留出集重构误差达1.30×10⁻⁴。在未参与训练的不变量上自由运行评分,结果混合:可复现近临界雪崩分支(σ≈1),但未能再现非周期性的1/f斜率或原始信号中的长程时间相关性。反对称性与非负耗散由构造保证而非惩罚项,使该孪生模型成为可用于闭环神经调控设计与测试的保结构基础。

原文摘要 · Abstract (English)

We present a physics-inspired classical digital twin of brain-computer- interface (BCI) data: a graph neural network constrained to a band-stratified, metriplectic port-Hamiltonian form, with parameters learned from scalp EEG recorded during rest and motor imagery. The port-Hamiltonian structure is a modelling choice - it buys passivity, a certified steady-state power balance, and a clean separation of storage, routing and dissipation - not a claim about what the brain is. The state pairs each channel's instantaneous phase with its angular frequency, and stored energy decomposes over the five canonical frequency bands. A phase-locking prior measured from the same recordings gates the learned connectome, and a metriplectic formulation places the twin at a non- equilibrium steady state sustained by a metabolic port. Fitted to $1{,}109{,}250$ phasor samples from the PhysioNet EEG Motor Movement/Imagery database under a leakage-free split, the twin reaches a held-out reconstruction error of $1.30\times10^{-4}$. Scored free-running against invariants it did not author, the verdict is mixed: it reproduces near-critical avalanche branching ($σ\approx1$) but not the aperiodic $1/f$ slope or the long-range temporal correlations of the recordings. Skew-symmetry and non-negative dissipation hold by construction rather than by penalty, making the twin a structure-preserving substrate on which closed-loop neuromodulation can be designed and tested.

数字孪生脑机接口哈密顿网络脑电建模

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