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Published in:
2006 | OriginalPaper | Chapter
Mathematical Models
Authors : Joakim Sundnes, Glenn Terje Lines, Xing Cai, Bjørn Fredrik Nielsen, Kent-Andre Mardal, Aslak Tveito
Published in: Computing the Electrical Activity in the Heart
Publisher: Springer Berlin Heidelberg
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As described in the previous chapter, the human body consists of billions of cells, which may be connected by various coupling mechanisms depending on the type of tissue under consideration. When constructing mathematical models for electrical activity in the tissue, one possible approach would be to model each cell as a separate unit, and couple them together using mathematical models for the known coupling mechanisms. However, the large number of cells will prohibit using this type of model for anything but very small samples of tissue. When studying electrical phenomena on the level of complete organs or even organisms, the level of detail provided by such an approach also goes far beyond what it is necessary, or even possible, to utilize.