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Neurodegenerative diseases, such as Alzheimer's or Parkinson's disease, showcharacteristic degradation of structural brain networks. This degradationeventually leads to changes in the network dynamics and degradation ofcognitive functions. Here, we model the progression in terms of coupledphysical processes: The accumulation of toxic proteins, given by a nonlinearreaction-diffusion transport process, yields an evolving brain connectomecharacterized by weighted edges on which a neuronal-mass model evolves. Theprogression of the brain functions can be tested by simulating theresting-state activity on the evolving brain network. We show that while theevolution of edge weights plays a minor role in the overall progression of thedisease, dynamic biomarkers predict a transition over a period of 10 yearsassociated with strong cognitive decline.

Neuronal Oscillations on Evolving Networks: Dynamics, Damage, Degradation, Decline, Dementia, and Death