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Geophysical gravity-driven flows -- including avalanches, debris flows, pyroclastic flows and submarine turbidity currents -- are multiphase natural hazards that flow under the influence of gravity. Despite their differences, they share much of the same ph ...
In this project we numerically simulate electrophysiological models for cardiac applications by means of Isogeometric Analysis. Specifically, we aim at understanding the advantages of using high order continuous NURBS (Non-UniformRational B-Splines) basis ...
Isogeometric analysis (IGA) is a computational methodology recently developed to numerically approximate Partial Differential Equation (PDEs). It is based on the isogeometric paradigm, for which the same basis functions used to represent the geometry are t ...
We provide a mathematical analysis of and a numerical framework for full-field optical coherence elastography, which has unique features including micron-scale resolution, realtime processing, and noninvasive imaging. We develop a novel algorithm for trans ...
Society for Industrial and Applied Mathematics2015
This project presents the theoretical background in electrophysiology that is used as a basis in the development of numerical methods for the simulation of heart’s electrical activity. We discuss the mathematical models currently used in cardiac electrophy ...
This paper is devoted to the mathematical modelling and numerical simulation of basic mechanisms that drive multicontinuum systems in two- and three-dimensional porous media. We state a general mathematical model within the framework of mixture theory, cap ...
In a sailboat race, the navigator's attempts to plot the fastest possible course are hindered by shifty winds. We present mathematical models appropriate for this situation, which use statistical analysis of wind fluctuations and are amenable to stochastic ...
Bio-equivalents (e.g., 17β-estradiol or dioxin equivalents) are commonly employed to quantify the in vitro effects of complex human or environmental samples. However, there is no generally accepted data analysis strategy for estimating and reporting bio-eq ...
Society of Environmental Toxicology and Chemistry Press2013
Method for automatic online delineation of an electrocardiogram (ECG) bio signal, said method comprising the detection of said bio signal through several leads followed by the combination of those multiple acquisitions into a single root-mean-squared (RMS) ...
We analyze the internal permutations of Keccak, one of the NIST SHA-3 competition finalists, in regard to differential properties. By carefully studying the elements composing those permutations, we are able to derive most of the best known differential pa ...
