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Simulating the effect of formation of amyloid plaques on aggregation of tau protein.


ABSTRACT: In this paper, we develop a mathematical model that enables the investigation of the production and intracellular transport of amyloid precursor protein (APP) and tau protein in a neuron. We also investigate the aggregation of APP fragments into amyloid-? (A?) as well as tau aggregation into tau oligomers and neurofibrillary tangles. Using the developed model, we investigate how A? aggregation can influence tau transport and aggregation in both the soma and the axon. We couple the A? and tau agglomeration processes by assuming that the value of the kinetic constant that describes the autocatalytic growth (self-replication) reaction step of tau aggregation is proportional to the A? concentration. The model predicts that APP and tau are distributed differently in the axon. While APP has a uniform distribution along the axon, tau's concentration first decreases and then increases towards the synapse. A? is uniformly produced along the axon while misfolded tau protein is mostly produced in the proximal axon. The number of A? and tau polymers originating from the axon is much smaller than the number of A? and tau polymers originating from the soma. The rate of production of misfolded tau polymers depends on how strongly their production is facilitated by A?.

SUBMITTER: Kuznetsov IA 

PROVIDER: S-EPMC6304026 | biostudies-literature | 2018 Dec

REPOSITORIES: biostudies-literature

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Simulating the effect of formation of amyloid plaques on aggregation of tau protein.

Kuznetsov I A IA   Kuznetsov A V AV  

Proceedings. Mathematical, physical, and engineering sciences 20181212 2220


In this paper, we develop a mathematical model that enables the investigation of the production and intracellular transport of amyloid precursor protein (APP) and tau protein in a neuron. We also investigate the aggregation of APP fragments into amyloid-β (Aβ) as well as tau aggregation into tau oligomers and neurofibrillary tangles. Using the developed model, we investigate how Aβ aggregation can influence tau transport and aggregation in both the soma and the axon. We couple the Aβ and tau agg  ...[more]

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