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Formal Analysis of Abnormal Excitation in Cardiac Tissue

  • Pei Ye
  • Radu Grosu
  • Scott A. Smolka
  • Emilia Entcheva
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5307)

Abstract

We present the Piecewise Linear Approximation Model of Ion Channel contribution (PLAMIC) to cardiac excitation. We use the PLAMIC model to conduct formal analysis of cardiac arrhythmic events, namely Early Afterdepolarizations (EADs). The goal is to quantify (for the first time) the contribution of the overall sodium (Na + ), potassium (K + ) and calcium (Ca2 + ) currents to the occurrence of EADs during the plateau phase of the cardiac action potential (AP). Our analysis yields exact mathematical criteria for the separation of the parameter space for normal and EAD-producing APs, which is validated by simulations with classical AP models based on complex systems of nonlinear differential equations. Our approach offers a simple formal technique for the prediction of conditions leading to arrhythmias (EADs) from a limited set of experimental measurements, and can be invaluable for devising new anti-arrhythmic strategies.

Keywords

Plateau Phase Excitable Cell Cardiac Action Potential Early Repolarization Triangular Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Pei Ye
    • 1
  • Radu Grosu
    • 1
  • Scott A. Smolka
    • 1
  • Emilia Entcheva
    • 2
  1. 1.Computer Science DepartmentStony Brook UniversityUSA
  2. 2.Biomedical Engineering DepartmentStony Brook UniversityUSA

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