Mounting evidence shows that Alzheimer’s disease (AD) is characterized by the propagation of tau aggregates throughout the brain in a prion-like manner. Since current pathology imaging technologies can only provide a spatial brain mapping of tau accumulation, computational modeling becomes indispensable in analyzing the spatiotemporal propagation patterns of widespread tau aggregates. To address this challenge, we present a novel physics-informed neural network for AD (coined PINN4AD) by conceptualizing the intercellular spreading of tau pathology in a reaction-diffusion model, where each node (brain region) is ubiquitously wired with other nodes while interacting with amyloid burdens. In this context, we formulate the biological process of tau spreading in a principled potential energy transport model that describes the mechanistic role of A \(\beta \) -tau interaction in the widespread flow of tau aggregates. The physics principle and mathematics insight allow us to develop an explainable neural network to uncover the spatiotemporal dynamics of tau propagation from the unprecedented amount of longitudinal neuroimages. On top of this, we introduce a symbolic regression module into the PINN4AD to further elucidate the analytic expressions underlying A \(\beta \) -tau interaction and tau propagation mechanism. We have achieved not only an enhanced prediction accuracy of tau propagation on ADNI and OASIS datasets but also a system-level understanding of the pathophysiological mechanism in AD progression, suggesting great potential for research in AD and AD-related dementias.

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Explainable Deep Model for Understanding Neuropathological Events Through Neural Symbolic Regression

  • Tingting Dan,
  • Guorong Wu

摘要

Mounting evidence shows that Alzheimer’s disease (AD) is characterized by the propagation of tau aggregates throughout the brain in a prion-like manner. Since current pathology imaging technologies can only provide a spatial brain mapping of tau accumulation, computational modeling becomes indispensable in analyzing the spatiotemporal propagation patterns of widespread tau aggregates. To address this challenge, we present a novel physics-informed neural network for AD (coined PINN4AD) by conceptualizing the intercellular spreading of tau pathology in a reaction-diffusion model, where each node (brain region) is ubiquitously wired with other nodes while interacting with amyloid burdens. In this context, we formulate the biological process of tau spreading in a principled potential energy transport model that describes the mechanistic role of A \(\beta \) -tau interaction in the widespread flow of tau aggregates. The physics principle and mathematics insight allow us to develop an explainable neural network to uncover the spatiotemporal dynamics of tau propagation from the unprecedented amount of longitudinal neuroimages. On top of this, we introduce a symbolic regression module into the PINN4AD to further elucidate the analytic expressions underlying A \(\beta \) -tau interaction and tau propagation mechanism. We have achieved not only an enhanced prediction accuracy of tau propagation on ADNI and OASIS datasets but also a system-level understanding of the pathophysiological mechanism in AD progression, suggesting great potential for research in AD and AD-related dementias.