Version 1
: Received: 12 October 2024 / Approved: 14 October 2024 / Online: 14 October 2024 (11:05:45 CEST)
How to cite:
Bianchi, S.; Landi, G.; Marella, C.; Tesi, M. C.; Testa, C. A Network Based Study of the Dynamics of Aβ and τ Proteins in Alzheimer’s Disease. Preprints2024, 2024101034. https://doi.org/10.20944/preprints202410.1034.v1
Bianchi, S.; Landi, G.; Marella, C.; Tesi, M. C.; Testa, C. A Network Based Study of the Dynamics of Aβ and τ Proteins in Alzheimer’s Disease. Preprints 2024, 2024101034. https://doi.org/10.20944/preprints202410.1034.v1
Bianchi, S.; Landi, G.; Marella, C.; Tesi, M. C.; Testa, C. A Network Based Study of the Dynamics of Aβ and τ Proteins in Alzheimer’s Disease. Preprints2024, 2024101034. https://doi.org/10.20944/preprints202410.1034.v1
APA Style
Bianchi, S., Landi, G., Marella, C., Tesi, M. C., & Testa, C. (2024). A Network Based Study of the Dynamics of <em>Aβ and τ</em> Proteins in Alzheimer’s Disease. Preprints. https://doi.org/10.20944/preprints202410.1034.v1
Chicago/Turabian Style
Bianchi, S., Maria Carla Tesi and Claudia Testa. 2024 "A Network Based Study of the Dynamics of <em>Aβ and τ</em> Proteins in Alzheimer’s Disease" Preprints. https://doi.org/10.20944/preprints202410.1034.v1
Abstract
Due to the extreme complexity of Alzheimer's disease (AD), the aetiology of which is not yet known, nor are there any known effective treatments, mathematical modelling can be very useful.
Indeed, mathematical models, if deemed reliable, can be used to test medical hypotheses that could be difficult to verify directly.
In this context, it is important to understand how $A\beta$ and $\tau$ proteins, which in abnormal aggregate conformations are hallmarks of the disease, interact and spread. We are particularly interested in this paper in studying the spreading of misfolded $\tau$.
To this end, we present four different mathematical models, all on networks on which the protein evolves. The models differ in both the choice of network and diffusion operator.
Through comparison with clinical data on $\tau$ concentration, that we carefully obtained with multimodal analysis techniques, we show that some models are more adequate than others to simulate the dynamics of the protein.
This type of study may suggest that, when it comes to modelling certain pathologies, the choice of the mathematical setting must be made with great care if comparison with clinical data is considered decisive.
Keywords
Alzheimer’s disease; Models on graphs; $A\beta$ and $\tau$ proteins; Medical imaging; Numerical simulations
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
