Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases
Neurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins. In particular Alzheimer's disease is characterized by the systematic progression of amyloid-β and τ-proteins in the brain. These two protein families are coupled and it is believed that thei...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2020
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| _version_ | 1826263536778608640 |
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| author | Kevrekedis, PG Thompson, TB Goriely, A |
| author_facet | Kevrekedis, PG Thompson, TB Goriely, A |
| author_sort | Kevrekedis, PG |
| collection | OXFORD |
| description | Neurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins. In particular Alzheimer's disease is characterized by the systematic progression of amyloid-β and τ-proteins in the brain. These two protein families are coupled and it is believed that their joint presence greatly enhances the resulting damage. Here, we examine a class of coupled chemical kinetics models of healthy and toxic proteins in two spatial dimensions. The anisotropic diffusion expected to take place within the brain along axonal pathways is factored in the models and produces a filamentary, predominantly one-dimensional transmission. Nevertheless, the potential of the anisotropic models towards generating interactions taking advantage of the two-dimensional landscape is showcased. Finally, a reduction of the models into a simpler family of generalized Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) type systems is examined. It is seen that the latter captures well the qualitative propagation features, although it may somewhat underestimate the concentrations of the toxic proteins. |
| first_indexed | 2024-03-06T19:53:21Z |
| format | Journal article |
| id | oxford-uuid:24b7db24-8436-411e-b655-1bf2bb6dacda |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:53:21Z |
| publishDate | 2020 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:24b7db24-8436-411e-b655-1bf2bb6dacda2022-03-26T11:51:35ZAnisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseasesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:24b7db24-8436-411e-b655-1bf2bb6dacdaEnglishSymplectic ElementsElsevier2020Kevrekedis, PGThompson, TBGoriely, ANeurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins. In particular Alzheimer's disease is characterized by the systematic progression of amyloid-β and τ-proteins in the brain. These two protein families are coupled and it is believed that their joint presence greatly enhances the resulting damage. Here, we examine a class of coupled chemical kinetics models of healthy and toxic proteins in two spatial dimensions. The anisotropic diffusion expected to take place within the brain along axonal pathways is factored in the models and produces a filamentary, predominantly one-dimensional transmission. Nevertheless, the potential of the anisotropic models towards generating interactions taking advantage of the two-dimensional landscape is showcased. Finally, a reduction of the models into a simpler family of generalized Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) type systems is examined. It is seen that the latter captures well the qualitative propagation features, although it may somewhat underestimate the concentrations of the toxic proteins. |
| spellingShingle | Kevrekedis, PG Thompson, TB Goriely, A Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| title | Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| title_full | Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| title_fullStr | Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| title_full_unstemmed | Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| title_short | Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| title_sort | anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases |
| work_keys_str_mv | AT kevrekedispg anisotropicdiffusionandtravelingwavesoftoxicproteinsinneurodegenerativediseases AT thompsontb anisotropicdiffusionandtravelingwavesoftoxicproteinsinneurodegenerativediseases AT gorielya anisotropicdiffusionandtravelingwavesoftoxicproteinsinneurodegenerativediseases |