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Articles

Can numerical modeling help understand the fate of tau protein in the axon terminal?

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Pages 115-125 | Received 20 Oct 2014, Accepted 29 Nov 2014, Published online: 07 Jan 2015

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Ivan A. Kuznetsov & Andrey V. Kuznetsov. (2019) Investigating sensitivity coefficients characterizing the response of a model of tau protein transport in an axon to model parameters. Computer Methods in Biomechanics and Biomedical Engineering 22:1, pages 71-83.
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I.A. Kuznetsov & A.V. Kuznetsov. (2016) Mathematical models of α-synuclein transport in axons. Computer Methods in Biomechanics and Biomedical Engineering 19:5, pages 515-526.
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Articles from other publishers (8)

Justin Torok, Chaitali Anand, Parul Verma & Ashish Raj. (2023) Connectome-based biophysics models of Alzheimer’s disease diagnosis and prognosis. Translational Research 254, pages 13-23.
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Ivan A. Kuznetsov & Andrey V. Kuznetsov. (2023) Computational investigation of the effect of reduced dynein velocity and reduced cargo diffusivity on slow axonal transport. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479:2271.
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Justin Torok, Pedro D. Maia, Parul Verma, Christopher Mezias & Ashish Raj. (2021) Emergence of directional bias in tau deposition from axonal transport dynamics. PLOS Computational Biology 17:7, pages e1009258.
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I. A. Kuznetsov & A. V. Kuznetsov. (2019) A Numerical Study of Sensitivity Coefficients for a Model of Amyloid Precursor Protein and Tubulin-Associated Unit Protein Transport and Agglomeration in Neurons at the Onset of Alzheimer's Disease. Journal of Biomechanical Engineering 141:3.
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Hugo Geerts, Athan Spiros, Patrick Roberts & Robert Carr. (2017) Towards the virtual human patient. Quantitative Systems Pharmacology in Alzheimer's disease. European Journal of Pharmacology 817, pages 38-45.
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I. A. Kuznetsov & A. V. Kuznetsov. (2017) Simulating tubulin-associated unit transport in an axon: using bootstrapping for estimating confidence intervals of best-fit parameter values obtained from indirect experimental data. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473:2201, pages 20170045.
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I.A. Kuznetsov & A.V. Kuznetsov. (2017) Utilization of the bootstrap method for determining confidence intervals of parameters for a model of MAP1B protein transport in axons. Journal of Theoretical Biology 419, pages 350-361.
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I. A. Kuznetsov & A. V. Kuznetsov. (2016) What mechanisms of tau protein transport could be responsible for the inverted tau concentration gradient in degenerating axons?. Mathematical Medicine and Biology, pages dqv041.
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