Plaques that form in the brains of Alzheimer patients are made of deposits
of the amyloid-beta peptide. We analyze the time evolution of amyloid-beta
deposition in immunostained brain slices from transgenic mice. We find that
amyloid-beta deposits appear in clusters whose characteristic size increas
es from 14 mu m in 8-month-old mice to 22 mu m in 12-month-old mice. We sho
w that the clustering has implications for the biological growth of amyloid
-beta by presenting a growth model that accounts for the experimentally obs
erved structure of individual deposits and predicts the formation of cluste
rs of deposits and their time evolution.