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

DOI10.1098/RSPA.2018.0511zbMath1425.92065OpenAlexW2906364525WikidataQ90855157 ScholiaQ90855157MaRDI QIDQ5243647

Ivan A. Kuznetsov, Andrey V. Kuznetsov

Publication date: 19 November 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2018.0511

zbMATH Keywords

mathematical modellingAlzheimer's diseaseneuronaxontau proteinamyloid precursor protein

Mathematics Subject Classification ID

Neural biology (92C20) Cell biology (92C37)

Related Items (3)

Bidirectional, unlike unidirectional transport, allows transporting axonal cargos against their concentration gradient ⋮ Modeling tau transport in the axon initial segment ⋮ A mathematical model demonstrating the role of interstitial fluid flow on the clearance and accumulation of amyloid \(\beta\) in the brain

Cites Work

• On the validity of the steady state assumption of enzyme kinetics
• Optimally weightedL²distance for functional data
• A comparison between the diffusion–reaction and slow axonal transport models for predicting tau distribution along an axon
• How the formation of amyloid plaques and neurofibrillary tangles may be related: a mathematical modelling study
• Simulating tubulin-associated unit transport in an axon: using bootstrapping for estimating confidence intervals of best-fit parameter values obtained from indirect experimental data

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