From Materials to Minds: Nonlocal Approaches to Damage and Degeneration

Explore nonlocal analysis approaches to modeling damage processes in materials and their potential applications to neural networks in this 55-minute conference talk. Delve into key concepts of nonlocal analysis tailored for an interdisciplinary audience. Examine the electrochemical and physical motivations behind applying nonlocal models to damaged materials systems, with a focus on metal corrosion propagation. Draw parallels between nonlocal meshes, conceptualized as collections of nodes and bonds, and neural networks. Discuss future directions for these models, including potential insights into neural signal propagation and cognitive degenerative diseases progression. Presented by Cynthia Flores from California State University, Channel Islands, at the Institute for Pure & Applied Mathematics' Analyzing High-dimensional Traces of Intelligent Behavior Workshop.