Abstract
We model an excitable cell as a long cylindrical cable and assume the so-called core conduction assumption, stating that the potential along the cable depends only on the length variable and not on radial or angular variables, so that the cable model is one-dimensional. Then we assume that the cable is composed of a number of short sections of length dx with isopotential membrane, and that in each section we have only the transmembrane and axial currents, as illustrated in the following diagram
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Franzone, P.C., Pavarino, L.F., Scacchi, S. (2014). Mathematical Models of Cardiac Cells Arrangements: The Bidomain Model. In: Mathematical Cardiac Electrophysiology. MS&A, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-319-04801-7_3
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