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2021 | OriginalPaper | Buchkapitel

Pathology Dynamics in Healthy-Toxic Protein Interaction and the Multiscale Analysis of Neurodegenerative Diseases

verfasst von : Swadesh Pal, Roderick Melnik

Erschienen in: Computational Science – ICCS 2021

Verlag: Springer International Publishing

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Abstract

Neurodegenerative diseases are frequently associated with aggregation and propagation of toxic proteins. In particular, it is well known that along with amyloid-beta, the tau protein is also driving Alzheimer’s disease. Multiscale reaction-diffusion models can assist in our better understanding of the evolution of the disease. Based on a coarse-graining procedure of the continuous model and taking advantage of the brain data connectome, a computationally challenging network mathematical model has been described where the edges of the network are the axonal bundles in white-matter tracts. Further, we have modified the heterodimer model in such a way that it can now capture some of the critical characteristics of this evolution such as the conversion time from healthy to toxic proteins. Finally, we have analyzed the modified model theoretically and validated the theoretical findings with numerical simulations.

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Nächstes Kapitel A Semi-implicit Backward Differentiation ADI Method for Solving Monodomain Model

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Titel: Pathology Dynamics in Healthy-Toxic Protein Interaction and the Multiscale Analysis of Neurodegenerative Diseases
verfasst von: Swadesh Pal
Roderick Melnik
Verlag: Springer International Publishing
Buch: Computational Science – ICCS 2021
Print ISBN: 978-3-030-77976-4

Electronic ISBN: 978-3-030-77977-1

Copyright-Jahr: 2021
DOI: https://doi.org/10.1007/978-3-030-77977-1_42

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