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Literature DB >> 10493080

An advanced algorithm for solving partial differential equation in cardiac conduction.

Abstract

An advanced integration method for solving reaction-diffusion-type equations for cardiac conduction is suggested. Operator splitting and adaptive time step methods were used in this method, which can significantly speed up integration while preserving accuracy.

Mesh：

Year: 1999 PMID： 10493080 DOI： 10.1109/10.784149

Source DB: PubMed Journal: IEEE Trans Biomed Eng ISSN： 0018-9294 Impact factor: 4.538

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Cited

41 in total

1. Scroll wave dynamics in a three-dimensional cardiac tissue model: roles of restitution, thickness, and fiber rotation.

Authors: Z Qu; J Kil; F Xie; A Garfinkel; J N Weiss
Journal: Biophys J Date: 2000-06 Impact factor: 4.033

2. Calcium alternans in a couplon network model of ventricular myocytes: role of sarcoplasmic reticulum load.

Authors: Michael Nivala; Zhilin Qu
Journal: Am J Physiol Heart Circ Physiol Date: 2012-06-01 Impact factor: 4.733

3. Critical mass hypothesis revisited: role of dynamical wave stability in spontaneous termination of cardiac fibrillation.

Authors: Zhilin Qu
Journal: Am J Physiol Heart Circ Physiol Date: 2005-08-19 Impact factor: 4.733

Review 4. Modeling defibrillation of the heart: approaches and insights.

Authors: Natalia Trayanova; Jason Constantino; Takashi Ashihara; Gernot Plank
Journal: IEEE Rev Biomed Eng Date: 2011

5. Action potential duration dispersion and alternans in simulated heterogeneous cardiac tissue with a structural barrier.

Authors: Trine Krogh-Madsen; David J Christini
Journal: Biophys J Date: 2006-11-17 Impact factor: 4.033

An advanced algorithm for solving partial differential equation in cardiac conduction.

1. Scroll wave dynamics in a three-dimensional cardiac tissue model: roles of restitution, thickness, and fiber rotation.

2. Calcium alternans in a couplon network model of ventricular myocytes: role of sarcoplasmic reticulum load.

3. Critical mass hypothesis revisited: role of dynamical wave stability in spontaneous termination of cardiac fibrillation.

Review 4. Modeling defibrillation of the heart: approaches and insights.

5. Action potential duration dispersion and alternans in simulated heterogeneous cardiac tissue with a structural barrier.

6. Dynamic origin of spatially discordant alternans in cardiac tissue.

7. Acceleration of cardiac tissue simulation with graphic processing units.

8. Nonlinear and Stochastic Dynamics in the Heart.

9. How does β-adrenergic signalling affect the transitions from ventricular tachycardia to ventricular fibrillation?

10. Numerical quadrature and operator splitting in finite element methods for cardiac electrophysiology.