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Phenomenological and physiological approaches in the study of cardiac alternans: Theoretical background, mathematical modeling and numerical simulations

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Research on eco-hydro-morphological river processes by combining field investigations, physical modeling and numerical simulations

Koen Blanckaert, Violaine Dugué, Alexandre José Pessanha De Oliveira Caimoto Duarte, Ana Margarida Da Costa Ricardo

Hydrodynamical, morphodynamical and ecological river processes and their multiple linkages occur in an infinity of different configurations and over a wide range of spatial and temporal scales. This paper illustrates a research methodology that consists in ...

2010

Mathematical moiré models and their limitations

Roger Hersch, Isaac Amidror

In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moiré effects. Here, we extend the discussion to other mathematical models that are also being used in the moiré theory: the classical indicial ...

2010

DNA Topology

Guillaume Witz

This thesis explores different aspects of DNA topology through experimental and numerical techniques. Topology is a vast mathematical field, that deals with the spatial properties of objects undergoing continuous deformations, but here it is restricted to ...

EPFL2010

On Spatially Explicit Models of Cholera Epidemics

Andrea Rinaldo, Enrico Bertuzzo, Marino Gatto

We generalize a recently proposed model for cholera epidemics that accounts for local communities of susceptibles and infectives in a spatially explicit arrangement of nodes linked by networks having different topologies. The vehicle of infection (Vibrio c ...

2010

Cardiovascular Mathematics

Alfio Quarteroni, Luca Formaggia

Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical ima ...

Springer2009

Reduced Basis Method for Parametrized Differential Algebraic Equations

Alfio Quarteroni, Luca Dede'

Parametrized systems of Differential Algebraic Equations (DAEs) stand at the base of several mathematical models in Microelectronics, Computational Fluid Dynamics and other Engineering fields. Since the dimension of these systems can be huge, high computat ...

2009

2D numerical flow modeling in a macro-rough channel

Anton Schleiss, Tobias Meile, Michel Pirotton

A 2D numerical flow model, developed at the Research unit of Hydrology, Applied Hydrodynamics and Hydraulic Constructions at ULg, has been applied to flows in a macro-rough channel. The model solves the shallow water equations (SWE) with a two length scale ...

2009

Mathematics in the Wind

Alfio Quarteroni, Nicola Parolini

In any sport or human endeavor, coaches regularly state “play to your strengths.” One might not guess that a land-locked, mountainous country like Switzerland would have strengths that would give them a chance at winning the oldest, most competitive sailin ...

2009

Interpretation of neuronal response properties with simplified neuron models

Laurent Badel

Computational neuroscience is a branch of the neurosciences that attempts to elucidate the principles underlying the operation of neurons with the help of mathematical modeling. In contrast with a number of fields pursuing a tightly related goal, such as m ...

EPFL2009

Creep properties from indentation tests by analytical and numerical techniques

Matteo Galli

Analytical and numerical methods for the identification of creep properties of two polymers and indium from indentation tests are compared. Creep indentation experiments are performed at fixed peak force following ramp loading: The experiments are modeled ...

2009