Displaying similar documents to “Numerical simulations of fractionated electrograms and pathological cardiac action potential.”

Simulation of electrophysiological waves with an unstructured finite element method

Yves Bourgault, Marc Ethier, Victor G. LeBlanc (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.

A model of macroscale deformation and microvibration in skeletal muscle tissue

Bernd Simeon, Radu Serban, Linda R. Petzold (2009)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper deals with modeling the passive behavior of skeletal muscle tissue including certain microvibrations at the cell level. Our approach combines a continuum mechanics model with large deformation and incompressibility at the macroscale with chains of coupled nonlinear oscillators. The model verifies that an externally applied vibration at the appropriate frequency is able to synchronize microvibrations in skeletal muscle cells. From the numerical analysis point of view,...

Modelling and Validation of Transmittance from Nanocrystalline Titania film for Photoanodic Action in Dye-Sensitized Solar Cells

Divya Jyoti (2015)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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A four phase model air/glass/indium doped tin oxide/TiO2 has been studied by modifying Rouard’s model to calculate the final transmittance from TiO2 layer to be used as photoanode in dye-sensitized solar cells. An optical simulation for the reflectance and transmittance has been executed for the constructed nanocrystalline TiO2 films. To validate the theoretical results TiO2 film has been deposited onto indium doped tin oxide (ITO) layer by sol-gel dip coating technique. It has been...

Coupled analytical and numerical approach to uncovering new regulatory mechanisms of intracellular processes

Jarosław Śmieja (2010)

International Journal of Applied Mathematics and Computer Science

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The paper deals with the analysis of signaling pathways aimed at uncovering new regulatory processes regulating cell responses. First, general issues of comparing simulation and experimental data are discussed, and various aspects of data normalization are covered. Then, a model of a particular signaling pathway, induced by Interferon-β, is briefly introduced. It serves as an example illustrating how mathematical modeling can be used for inferring the structure of a regulatory system...