Oscillations in neuronal activity: a neuron-centered spatiotemporal model of the Unfolded Protein Response in prion diseases

EM Miller, TCD Chan, C Montes-Matamoros… - Bulletin of Mathematical …, 2024‏ - Springer
Many neurodegenerative diseases (NDs) are characterized by the slow spatial spread of
toxic protein species in the brain. The toxic proteins can induce neuronal stress, triggering …

A multiscale closed-loop neurotoxicity model of Alzheimer's disease progression explains functional connectivity alterations

J Cabrera-Álvarez, L Stefanovski, L Martin, G Susi… - Eneuro, 2024‏ - eneuro.org
The accumulation of amyloid-β (Aβ) and hyperphosphorylated-tau (hp-tau) are two classical
histopathological biomarkers in Alzheimer's disease (AD). However, their detailed …

Analysis of a prion proliferation model with polymer coagulation in the presence of chaperone

KK Choudhary, R Kumar… - Mathematical Methods in …, 2023‏ - Wiley Online Library
In the present work, a mathematical model which consists of a nonlinear partial integro‐
differential equation coupled with two ordinary differential equations (ODEs) is analyzed …

Weak solution and qualitative behavior of a prion proliferation model in the presence of chaperone

KK Choudhary, R Kumar, R Kumar - Acta Applicandae Mathematicae, 2022‏ - Springer
In this article, a prion proliferation system in the presence of a chaperone, which involves
two ODEs and an integro-partial differential equation, is studied. The existence of weak …

[PDF][PDF] Study of Evolution Equations of Prion Dynamics in the Presence of Chaperone

KK Choudhary - 2022‏ - dspace.bits-pilani.ac.in
Prions are infectious proteins. These infectious prion proteins are responsible for the
degeneration of the central nervous system of humans and animals. These infectious agents …