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Overview. The bidomain model was originally derived by Tung [ 19] and can be written as a system of nonlinear ordinary and partial differential equations (ODEs and PDEs). Several alternative formulations exist, but the one most frequently used for computations is written in terms of the variables u e , v, and s, which represent respectively the.

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The bidomain model, initially introduced in [8, 24, 19], is the standard tissue-level model of cardiac electrophysiology widely used in simulations (see for instance [4, 15, 17, 6, 23]). Well-posedness is studied in [7, 3, 25, 5, 11, 12]. It is possible

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The bidomain model (BD) 1 has become a valuable tool for understanding cardiac electrophysiology. It has been used, for instance, to study the effects of electrical defibrillation 2,3,4, to.

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Abstract. Cardiac muscle is made up of coupled myocytes, embedded in an interstitial space comprised of blood vessels, connective tissue, fibroblasts fluid, and other cell types and adjoining some extracellular fluid. The bidomain model was originally developed to describe the current flow in both these three spaces using continuous partial.

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In the Bidomain model (), the transmembrane potential v during the excitation phase of the heartbeat exhibits a steep propagating layer spreading throughout the myocardium with a thickness of about 0.5 mm.At every point of the cardiac domain, this upstroke phase lasts about 1 ms. Therefore, the simulation of the excitation process requires the numerical solution of problems with small space.

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1 Introduction. The set of bidomain equations (Sepulveda et al., 1989) is currently the most complete mathematical models for describing the spread of cardiac electrical activity, especially for simulating activity on the organ level.They were first applied to cardiac tissue in 1978(Miller and Geselowitz, 1978; Tung, 1978).The system of non-linear partial differential equations models both the.

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4.2.2 Monodomain model. The bidomain model of cardiac tissue (Equation (6)) can be simplified by assuming that the anisotropy of the intracellular and extracellular spaces is the same, i.e. that the conductivity in the extracellular space is proportional to the intracellular conductivity: (8) where is a scalar, representing the ratio between.

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The electrical bidomain model is the preferred model for simulating electrical stimulation of the heart, such as during cardiac pacing or defibrillation, when the crucial consideration is how a voltage develops across the membrane (Efimov et al., 2000; Trayanova and Plank, 2009). The mechanical bidomain model may be similarly useful when.

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The bidomain model is a mathematical model to define the electrical activity of the heart.It consists in a continuum (volume-average) approach in which the cardiac microstructure is defined in terms of muscle fibers grouped in sheets, creating a complex three-dimensional structure with anisotropical properties. Then, to define the electrical activity, two interpenetrating domains are.

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