Speaker
Description
Alzheimer’s disease (AD) is a neurodegenerative disorder, with current therapies primarily focused on symptom management. Recent studies have proposed the Radiation-Induced ATM NucleoShuttling (RIANS) response as a mechanism that involves the formation of a perinuclear crown (PC) and may impair DNA repair.
We present a mathematical framework to investigate this process. First, an ordinary differential equation (ODE) model is developed to analyze PC dynamics under constant and periodic oxidative stress. This model is used to simulate the effects of combined radiation and antioxidant/statin treatments. Second, we formulate a spatial model using partial differential equations (PDEs) that incorporates protein diffusion and advection. For this system with quadratic reactions, we prove the global existence and uniqueness of a non-negative solution, extending well-posedness results for non-autonomous reaction-diffusion-advection systems. Numerical simulations in two dimensions illustrate the behavior of the model.
