Adapting the Gray-Scott model to Aβ-Tau interactions on 2D and cortical domains yields multiple stable spatial patterns classified by PCA and clustering, framing AD heterogeneity as pattern diversity.
Optimal control for anti-abeta treatment in alzheimer’s disease using a reaction-diffusion model.arXiv preprint arXiv:2504.07913, 2025
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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.
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Pattern formation in a Reaction-Diffusion Model for Amyloid-$\beta$ and Tau Interactions in Alzheimer's Disease
Adapting the Gray-Scott model to Aβ-Tau interactions on 2D and cortical domains yields multiple stable spatial patterns classified by PCA and clustering, framing AD heterogeneity as pattern diversity.
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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.