Mathematical Biosciences and Engineering, 2011, 8(4): 915-930. doi: 10.3934/mbe.2011.8.915.

Primary: 35Q92; Secondary: 65M08, 92C99.

Export file:

Format

  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text

Content

  • Citation Only
  • Citation and Abstract

A mathematical model of the Purkinje-Muscle Junctions

1. Université de Nantes, Laboratoire de Mathématiques Jean Leray, Nantes
2. INRIA, REO team, Rocquencourt

   

This paper is devoted to the construction of a mathematical model of the His-Purkinje tree and the Purkinje-Muscle Junctions (PMJ). A simple numerical scheme is proposed in order to perform some simple numerical experiments.
  Figure/Table
  Supplementary
  Article Metrics

Keywords finite volumes.; monodomain equations; Purkinje-Muscle Junction

Citation: Adnane Azzouzi, Yves Coudière, Rodolphe Turpault, Nejib Zemzemi. A mathematical model of the Purkinje-Muscle Junctions. Mathematical Biosciences and Engineering, 2011, 8(4): 915-930. doi: 10.3934/mbe.2011.8.915

 

This article has been cited by

  • 1. S. Mani Aouadi, W. Mbarki, N. Zemzemi, G. Bocharov, S. Simakov, Yu. Vassilevski, V. Volpert, Stability Analysis of Decoupled Time-stepping Schemes for the Specialized Conduction System/myocardium Coupled Problem in Cardiology, Mathematical Modelling of Natural Phenomena, 2017, 12, 5, 208, 10.1051/mmnp/201712513
  • 2. N. Cusimano, L. Gerardo-Giorda, A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries, Journal of Computational Physics, 2018, 362, 409, 10.1016/j.jcp.2018.02.034
  • 3. Alejandro Lopez-Perez, Rafael Sebastian, Jose M Ferrero, Three-dimensional cardiac computational modelling: methods, features and applications, BioMedical Engineering OnLine, 2015, 14, 1, 10.1186/s12938-015-0033-5
  • 4. Edward J. Vigmond, Bruno D. Stuyvers, Modeling our understanding of the His-Purkinje system, Progress in Biophysics and Molecular Biology, 2016, 120, 1-3, 179, 10.1016/j.pbiomolbio.2015.12.013
  • 5. M.A. Quiroz-Juárez, O. Jiménez-Ramírez, J.L. Aragón, J.L. Del Río-Correa, R. Vázquez-Medina, Periodically kicked network of RLC oscillators to produce ECG signals, Computers in Biology and Medicine, 2018, 10.1016/j.compbiomed.2018.05.017
  • 6. S.M. Aouadi, W. Mbarki, N. Zemzemi, Towards the modelling of the Purkinje/myocardium coupled problem: A well-posedness analysis, Journal of Computational and Applied Mathematics, 2018, 10.1016/j.cam.2018.10.024
  • 7. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 6, 175, 10.1007/978-3-319-04801-7_6
  • 8. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 5, 149, 10.1007/978-3-319-04801-7_5
  • 9. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 4, 123, 10.1007/978-3-319-04801-7_4
  • 10. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 3, 77, 10.1007/978-3-319-04801-7_3
  • 11. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 7, 191, 10.1007/978-3-319-04801-7_7
  • 12. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 1, 1, 10.1007/978-3-319-04801-7_1
  • 13. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 2, 21, 10.1007/978-3-319-04801-7_2
  • 14. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 8, 207, 10.1007/978-3-319-04801-7_8
  • 15. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, , Mathematical Cardiac Electrophysiology, 2014, Chapter 9, 249, 10.1007/978-3-319-04801-7_9

Reader Comments

your name: *   your email: *  

Copyright Info: 2011, , licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved