Neural operator framework infers reaction-diffusion dynamics of amyloid-β and tau from longitudinal PET data to create digital twins, reports 87% and 81% predictive accuracy, and formulates PDE-constrained optimal control for treatment.
Let u(x,t ) denote the biomarker field and{ϕk}the Laplace–Beltrami eigenmodes, which are orthonormal under the mass-matrix inner product
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Neural operator-based digital twins for modeling amyloid-$\beta$ and tau propagation and treatment optimization in Alzheimer's disease
Neural operator framework infers reaction-diffusion dynamics of amyloid-β and tau from longitudinal PET data to create digital twins, reports 87% and 81% predictive accuracy, and formulates PDE-constrained optimal control for treatment.