With the increasing prevalence of Alzheimer's disease (AD) among aging populations and
the limited therapeutic options available to slow or reverse its progression, the need has …

Numerical and analytical solutions were employed to calculate the radius of an amyloid-β
(Aβ) plaque over time. To the author's knowledge, this study presents the first model …

Understanding the correlation between pathological changes and the type of brain injury is
pivotal in mitigating the damage and planning reliable and improved treatment strategies …

Alzheimer's disease (AD) presents a perplexing question: why does its development span
decades, even though individual amyloid beta (Aβ) deposits (senile plaques) can form …

In the context of Alzheimer's disease (AD), in silico research aims at giving complementary
and better insight into the complex mechanisms which determine the development of AD …

We prove existence and uniqueness of solutions of a model for the progression of soluble
and insoluble toxic Tau proteins on a graph of nerve cells in an Alzheimer brain. The model …

Neurodegenerative diseases such as Alzheimer's disease (AD) exhibit pathological
changes in the brain that proceed in a stereotyped and regionally specific fashion, but the …

Mounting evidence implicates trans-synaptic connectome-based spread as a shared
mechanism behind different tauopathic conditions, yet also suggests there is divergent …

Brain regions in Alzheimer's (AD) exhibit distinct vulnerability to the disease's hallmark
pathology, with the entorhinal cortex and hippocampus succumbing early to tau tangles …

In a variety of practical applications, there is a need to investigate diffusion or reaction-
diffusion processes on complex structures, including brain networks, that can be modeled as …