Loading [Contrib]/a11y/accessibility-menu.js
Search Advanced

Mathematical Biosciences and Engineering

2011, Volume 8, Issue 4: 915-930. doi: 10.3934/mbe.2011.8.915
Previous Article Next Article

A mathematical model of the Purkinje-Muscle Junctions

  • 1.
    Université de Nantes, Laboratoire de Mathématiques Jean Leray, Nantes
  • 2.
    INRIA, REO team, Rocquencourt
  • Received: 01 October 2010 Accepted: 29 June 2018 Published: 01 August 2011

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

  • 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.

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

    Related Papers:

    [1] Hongming Liu, Yunyuan Gao, Wei Huang, Rihui Li, Michael Houston, Julia S. Benoit, Jinsook Roh, Yingchun Zhang . Inter-muscular coherence and functional coordination in the human upper extremity after stroke. Mathematical Biosciences and Engineering, 2022, 19(5): 4506-4525. doi: 10.3934/mbe.2022208
    [2] Fengjie Liu, Monan Wang, Yuzheng Ma . Multiscale modeling of skeletal muscle to explore its passive mechanical properties and experiments verification. Mathematical Biosciences and Engineering, 2022, 19(2): 1251-1279. doi: 10.3934/mbe.2022058
    [3] Ge Zhu, Xu Zhang, Xiao Tang, Xiang Chen, Xiaoping Gao . Examining and monitoring paretic muscle changes during stroke rehabilitation using surface electromyography: A pilot study. Mathematical Biosciences and Engineering, 2020, 17(1): 216-234. doi: 10.3934/mbe.2020012
    [4] Qun Xu, Suqi Xue, Farong Gao, Qiuxuan Wu, Qizhong Zhang . Evaluation method of motor unit number index based on optimal muscle strength combination. Mathematical Biosciences and Engineering, 2023, 20(2): 3854-3872. doi: 10.3934/mbe.2023181
    [5] Christopher D. Bertram, Bernard O. Ikhimwin, Charlie Macaskill . Modeling flow in embryonic lymphatic vasculature: what is its role in valve development?. Mathematical Biosciences and Engineering, 2021, 18(2): 1406-1424. doi: 10.3934/mbe.2021073
    [6] J. Murillo-Escobar, Y. E. Jaramillo-Munera, D. A. Orrego-Metaute, E. Delgado-Trejos, D. Cuesta-Frau . Muscle fatigue analysis during dynamic contractions based on biomechanical features and Permutation Entropy. Mathematical Biosciences and Engineering, 2020, 17(3): 2592-2615. doi: 10.3934/mbe.2020142
    [7] Baohua Hu, Yong Wang, Jingsong Mu . A new fractional fuzzy dispersion entropy and its application in muscle fatigue detection. Mathematical Biosciences and Engineering, 2024, 21(1): 144-169. doi: 10.3934/mbe.2024007
    [8] Christoph Sadée, Eugene Kashdan . A model of thermotherapy treatment for bladder cancer. Mathematical Biosciences and Engineering, 2016, 13(6): 1169-1183. doi: 10.3934/mbe.2016037
    [9] Xiebing Chen, Yuliang Ma, Xiaoyun Liu, Wanzeng Kong, Xugang Xi . Analysis of corticomuscular connectivity during walking using vine copula. Mathematical Biosciences and Engineering, 2021, 18(4): 4341-4357. doi: 10.3934/mbe.2021218
    [10] Xian Hua, Jing Li, Ting Wang, Junhong Wang, Shaojun Pi, Hangcheng Li, Xugang Xi . Evaluation of movement functional rehabilitation after stroke: A study via graph theory and corticomuscular coupling as potential biomarker. Mathematical Biosciences and Engineering, 2023, 20(6): 10530-10551. doi: 10.3934/mbe.2023465
  • 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.


  • This article has been cited by:

    1. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 6, 978-3-319-04800-0, 175, 10.1007/978-3-319-04801-7_6
    2. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 3, 978-3-319-04800-0, 77, 10.1007/978-3-319-04801-7_3
    3. 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, 2017, 12, 1760-6101, 208, 10.1051/mmnp/201712513
    4. N. Cusimano, L. Gerardo-Giorda, A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries, 2018, 362, 00219991, 409, 10.1016/j.jcp.2018.02.034
    5. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 5, 978-3-319-04800-0, 149, 10.1007/978-3-319-04801-7_5
    6. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 7, 978-3-319-04800-0, 191, 10.1007/978-3-319-04801-7_7
    7. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 1, 978-3-319-04800-0, 1, 10.1007/978-3-319-04801-7_1
    8. Alejandro Lopez-Perez, Rafael Sebastian, Jose M Ferrero, Three-dimensional cardiac computational modelling: methods, features and applications, 2015, 14, 1475-925X, 10.1186/s12938-015-0033-5
    9. S. Mani Aouadi, W. Mbarki, N. Zemzemi, Towards the modeling of the Purkinje/myocardium coupled problem: A well-posedness analysis, 2019, 351, 03770427, 136, 10.1016/j.cam.2018.10.024
    10. 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, 2019, 104, 00104825, 87, 10.1016/j.compbiomed.2018.05.017
    11. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 4, 978-3-319-04800-0, 123, 10.1007/978-3-319-04801-7_4
    12. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 2, 978-3-319-04800-0, 21, 10.1007/978-3-319-04801-7_2
    13. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 8, 978-3-319-04800-0, 207, 10.1007/978-3-319-04801-7_8
    14. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, 2014, Chapter 9, 978-3-319-04800-0, 249, 10.1007/978-3-319-04801-7_9
    15. Edward J. Vigmond, Bruno D. Stuyvers, Modeling our understanding of the His-Purkinje system, 2016, 120, 00796107, 179, 10.1016/j.pbiomolbio.2015.12.013
    16. Khouloud Kordoghli, Saloua Mani Aouadi, Nejib Zemzemi, Mathematical analysis of a 1D–3D coupled problem in cardiac electrophysiology modeling, 2025, 76, 0044-2275, 10.1007/s00033-024-02371-z
  • Reader Comments
  • © 2011 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Mathematical Biosciences and Engineering
3.9

Metrics

Article views(2934) PDF downloads(515) Cited by(16)

Preview PDF
Download XML
Export Citation
Article outline
Abstract

Other Articles By Authors

Related pages

Tools

Copyright © AIMS Press

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog