The study provides an asymptotic approximation that accurately models the shortening of cardiac action potentials near a non-conducting boundary in a 1D fibre.
It is known, from both experiments and simulations, that cardiac action potentials are shortened near a non-conducting boundary. In the present paper, this effect is studied in a simple, two-current ionic model, with propagation restricted to a 1D fibre. An asymptotic approximation for the dependence of action potential duration on distance to the boundary is derived. This estimate agrees well with simulations.
Cain et al. (Sat,) studied this question.
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