dorsal/arxiv
View SchemaRate-dependent propagation of cardiac action potentials in a one-dimensional fiber
| Authors | John W. Cain, Elena G. Tolkacheva, David G. Schaeffer, Daniel J. Gauthier |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0407038 |
| URL | https://arxiv.org/abs/q-bio/0407038 |
| DOI | 10.1103/PhysRevE.70.061906 |
Abstract
Action potential duration (APD) restitution, which relates APD to the preceding diastolic interval (DI), is a useful tool for predicting the onset of abnormal cardiac rhythms. However, it is known that different pacing protocols lead to different APD restitution curves (RCs). This phenomenon, known as APD rate-dependence, is a consequence of memory in the tissue. In addition to APD restitution, conduction velocity restitution also plays an important role in the spatiotemporal dynamics of cardiac tissue. We present new results concerning rate-dependent restitution in the velocity of propagating action potentials in a one-dimensional fiber. Our numerical simulations show that, independent of the amount of memory in the tissue, waveback velocity exhibits pronounced rate-dependence and the wavefront velocity does not. Moreover, the discrepancy between waveback velocity RCs is most significant for small DI. We provide an analytical explanation of these results, using a system of coupled maps to relate the wavefront and waveback velocities. Our calculations show that waveback velocity rate-dependence is due to APD restitution, not memory.
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"abstract": "Action potential duration (APD) restitution, which relates APD to the\npreceding diastolic interval (DI), is a useful tool for predicting the onset of\nabnormal cardiac rhythms. However, it is known that different pacing protocols\nlead to different APD restitution curves (RCs). This phenomenon, known as APD\nrate-dependence, is a consequence of memory in the tissue. In addition to APD\nrestitution, conduction velocity restitution also plays an important role in\nthe spatiotemporal dynamics of cardiac tissue. We present new results\nconcerning rate-dependent restitution in the velocity of propagating action\npotentials in a one-dimensional fiber. Our numerical simulations show that,\nindependent of the amount of memory in the tissue, waveback velocity exhibits\npronounced rate-dependence and the wavefront velocity does not. Moreover, the\ndiscrepancy between waveback velocity RCs is most significant for small DI. We\nprovide an analytical explanation of these results, using a system of coupled\nmaps to relate the wavefront and waveback velocities. Our calculations show\nthat waveback velocity rate-dependence is due to APD restitution, not memory.",
"arxiv_id": "q-bio/0407038",
"authors": [
"John W. Cain",
"Elena G. Tolkacheva",
"David G. Schaeffer",
"Daniel J. Gauthier"
],
"categories": [
"q-bio.QM"
],
"doi": "10.1103/PhysRevE.70.061906",
"title": "Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber",
"url": "https://arxiv.org/abs/q-bio/0407038"
},
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