Excitation-Propagation in One Dimensional Fibers

  • Boris Ja. KoganEmail author


The study of pulse propagation in one-dimensional (1D) fiber is of prime interest for the propagation through nerve fibers. For cardiac tissue, which is predominately 2D and 3D, this study presents chiefly methodological value. The exception is a type of the atrium flutter and observed circulation of excitation in atrium around vena cava.

It is worthwhile to consider two major cases: propagation along the fiber with open ends and propagation in a ring-shaped 1D fiber. For the first case we will consider the propagation of a solitary pulse and pulse sequences generated at one of the open ends.

The study of excitation wave propagation in a ring of cardiac tissue is a subject of significant practical and theoretical importance [1-3]. Methodologically it allows us to investigate the behavior of the cell in the fiber under different pacing rates by only changing the equivalent ring length. The study of excitation pulse propagation in a ring facilitates an understanding of mechanisms of many life-threatening cardiac tachyarrhythmias.


Pulse Propagation Action Potential Duration Passive Propagation Early Afterdepolarizations Ring Length 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of California, Los AngelesLos AngelesUSA

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