Multiscale Modeling for the Bioelectric Activity of the Heart
نویسندگان
چکیده
The paper deals with the mathematical models for the electrical activity of the heart at the microand macroscopic level. By using the tools of the Γ–convergence theory, a rigorous mathematical derivation of the macroscopic model called “bidomain” directly from the microscopic properties of the tissue is presented.
منابع مشابه
Investigation of Vacancy Defects on the Young’s Modulus of Carbon Nanotube Reinforced Composites in Axial Direction via a Multiscale Modeling Approach
In this article, the influence of various vacancy defects on the Young’s modulus of carbon nanotube (CNT) - reinforcement polymer composite in the axial direction is investigated via a structural model in ANSYS software. Their high strength can be affected by the presence of defects in the nanotubes used as reinforcements in practical nanocomposites. Molecular structural mechanics (MSM)/finite ...
متن کاملA FEM Multiscale Homogenization Procedure using Nanoindentation for High Performance Concrete
This paper aims to develop a numerical multiscale homogenization method for prediction of elasto-viscoplastic properties of a high performance concrete (HPC). The homogenization procedure is separated into two-levels according to the microstructure of the HPC: the mortar or matrix level and the concrete level. The elasto-viscoplastic behavior of individual microstructural phases of the matrix a...
متن کاملDynamics of Macro–Nano Mechanical Systems; Fixed Interfacial Multiscale Method
The continuum based approaches don’t provide the correct physics in atomic scales. On the other hand, the molecular based approaches are limited by the length and simulated process time. As an attractive alternative, this paper proposes the Fixed Interfacial Multiscale Method (FIMM) for computationally and mathematically efficient modeling of solid structures. The approach is applicable to mult...
متن کاملMultiscale Evaluation of the Nonlinear Elastic Properties of Carbon Nanotubes Under Finite Deformation
This paper deals with the calculation of the elastic properties for single-walled carbon nanotubes (SWCNTs) under axial deformation and hydrostatic pressure using the atomistic-based continuum approach and the deformation mapping technique. A hyperelastic model based on the higher-order Cauchy-Born (HCB) rule being applicable at finite strains and accounting for the chirality and material nonli...
متن کاملMultiscale Multiphysic Mixed Geomechanical Model for Deformable Porous Media Considering the Effects of Surrounding Area
Porous media of hydro-carbon reservoirs is influenced from several scales. Effective scales of fluid phases and solid phase are different. To reduce calculations in simulating porous hydro-carbon reservoirs, each physical phenomenon should be assisted in the range of its effective scale. The simulating with fine scale in a multiple physics hydro-carbon media exceeds the current computational ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 37 شماره
صفحات -
تاریخ انتشار 2005