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math.NA2024
Linear Reduction and Homotopy Control for Steady Drift-Diffusion Systems in Narrow Convex Domains
Joseph W. Jerome
This article develops and applies results, originally introduced in earlier work, for the existence of homotopy curves, terminating at a desired solution. We describe the principal…
math.NA2015
Three-Dimensional Simulation of Biological Ion Channels Under Mechanical, Thermal and Fluid Forces
Riccardo Sacco, Paolo Airoldi, Aurelio G. Mauri +1
In this article we address the three-dimensional modeling and simulation of biological ion channels using a continuum-based approach. Our multi-physics formulation self-consistentl…
math.NA2015
Modeling and Simulation of Thermo-Fluid-Electrochemical Ion Flow in Biological Channels
Riccardo Sacco, Fabio Manganini, Joseph W. Jerome
In this article we address the study of ion charge transport in the biological channels separating the intra and extracellular regions of a cell. The focus of the investigation is…