Neurodegeneration in a dish: advancing human stem-cell-based models of Alzheimer’s disease

•iPSCs allow modeling of neurodegenerative disorders in disease-relevant human systems.•Recapitulation of late-stage disease phenotypes remains challenging.•New strategies have emerged to advance iPSC models and tackle these challenges.•Increased cellular diversity and 3D culture allow more physiological disease models.•Editing mutations/risk factors and improving maturation may promote pathology.