Approximating partial differential equations without boundary conditions Diane Guignard Professeure Université d'Ottawa Résumé We consider the problem of numerically approximating the solution of partial differential equations for which not all the input data are known. A situation of particular interest is when the boundary conditions are (partially) unknown. To alleviate this lack of knowledge, we […]
Axonal excitability: Importance of intrinsic properties and extracellular current flow revealed by computational modeling Nooshin Abdollahi Étudiante au doctorat University of Toronto Résumé Neurons rely on axons to transmit information over long distances via action potentials, or spikes (digital signals). Despite the squid giant axon being used for some of the seminal experiments that are […]
Spatiotemporal Behaviour of SIR Models with Cross-Diffusion and Vital Dynamics Alexey Shevyakov Professeur University of Saskatchewan Résumé Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis that included, in both infected and susceptible […]