Bifurcation Structure of a Periodically Driven Nerve Pulse Equation Modelling Cardiac Conduction
✍ Scribed by Olav Kongas; Raimo von Hertzen; Juri Engelbrecht
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 637 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
A novel quiescent nerve pulse equation has been used to model cardiac transmembrane action potential propagation[ The bifurcation structure of this equation driven by a periodic train of Dirac delta spikes\ modelling experimental action potential measurements\ displays a complicated transition region which connects a conventional region of fully developed period doubling cascades to a conventional region of Arnold tongues[ Within the transition region multistability is frequently encountered[ Lyapunov exponents\ winding numbers and _ring rate maps are presented in dependence on amplitude!frequency parameters of driving[ The rich variety of calculated arrhythmias and conduction blocks agrees well with measured behaviour of animal Purkinje _bres[ Þ 0888 Elsevier Science Ltd[ All rights reserved[