2019
DOI: 10.1098/rsif.2019.0356
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Prion-like spreading of Alzheimer’s disease within the brain’s connectome

Abstract: The prion hypothesis states that misfolded proteins can act as infectious agents that template the misfolding and aggregation of healthy proteins to transmit a disease. Increasing evidence suggests that pathological proteins in neurodegenerative diseases adopt prion-like mechanisms and spread across the brain along anatomically connected networks. Local kinetic models of protein misfolding and global network models of protein spreading provide valuable insight into several aspects of prion-like disease… Show more

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Cited by 102 publications
(115 citation statements)
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“…We discretize our SEIR network model in time using an implicit Euler backward scheme and adopt a Newton Raphson method to solve for the daily increments in each compartment in each country (Fornari et al 2019).…”
Section: Mobility Modelmentioning
confidence: 99%
“…We discretize our SEIR network model in time using an implicit Euler backward scheme and adopt a Newton Raphson method to solve for the daily increments in each compartment in each country (Fornari et al 2019).…”
Section: Mobility Modelmentioning
confidence: 99%
“…We discretize our SEIR network model in time using an implicit Euler backward scheme and adopt a Newton Raphson method to solve for the daily increments in each compartment in each state (Fornari et al 2019).…”
Section: Network Modelingmentioning
confidence: 99%
“…The average path length (defined as the average number of steps along the shortest paths for all possible pairs of nodes) is 5245/3403 ≈ 1.54 and the global clustering coefficient (defined as the fraction of paths of length two in the network that are closed over all paths of length two) is 49359/69149 ≈ 0.71 which suggests a small-world network structure, a fact that has been repeatedly established for brain networks [54]. Further analyses of this network can be found in [51]. The adjacency matrix is shown in Fig.…”
Section: Smoluchowski Network Modelsmentioning
confidence: 80%
“…In this case, we assume that transport only takes place along the axonal pathway and we replace the diffusion operator by the graph Laplacian to obtain a network approximation of the model. These models have been shown to be excellent approximations of the continuous model in the case of the Fischer equation and heterodimer models [51].…”
Section: Smoluchowski Network Modelsmentioning
confidence: 99%