NDLI: A new three-dimensional finite-difference bidomain formulation for inhomogeneous anisotropic cardiac tissues

Content Provider	IEEE Xplore Digital Library
Author	Saleheen, H.I. Ng, K.T.
Copyright Year	1964
Abstract	Bidomain modeling of cardiac tissues provides important information about various complex cardiac activities. The cardiac tissue consists of interconnected cells which form fiber-like structures. The fibers are arranged in different orientations within discrete layers or sheets in the tissue, i.e., the fibers within the tissue are rotated. From a mathematical point of view, this rotation corresponds to a general anisotropy in the tissue's conductivity tensors. Since the rotation angle is different at each point, the anisotropic conductivities also vary spatially. Thus, the cardiac tissue should be viewed as an inhomogeneous anisotropic structure. In most of the previous bidomain studies, the fiber rotation has not been considered, i.e., the tissue has been modeled as a homogeneous orthotropic medium. Here, the authors describe a new finite-difference bidomain formulation which accounts for the fiber rotation in the cardiac tissue and hence allows a more realistic modeling of the cardiac tissue. The formulation has been implemented on the data-parallel CM-5 which provides the computational power and the memory required for solving large bidomain problems. Details of the numerical formulation are presented together with its validation by comparing numerical and analytical results. Some computational performance results are also shown. In addition, an application of this new formulation to provide activation patterns within a tissue slab with a realistic fiber rotation is demonstrated.
Sponsorship	IEEE Engineering in Medicine and Biology Society
Page Count	11
File Size	376808
Starting Page	15
Ending Page	25
File Format	PDF
ISSN	00189294
Volume Number	45
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite difference methods Anisotropic magnetoresistance Cardiac tissue Conductivity Biomembranes Tensile stress Myocardium Slabs Bioelectric phenomena Capacitance
Content Type	Text
Resource Type	Article
Subject	Biomedical Engineering

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