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INVESTIGATION OF ALGORITHMS FOR SOLVING THE ELECTRO-CARDIAC ACTIVITY

  • Author / Creator
    Aalami, Soheila
  • Mathematical models are used to simulate the behavior of the electrical activity of a single cell or multiple cells of the heart. Single cell models contain a system of ODEs (ordinary differential equations) while multi-cell models consist of a coupled system of ODEs and PDEs (partial differential equations). We present different algorithms to explore the efficiency of different solvers for simulating cardiac models. We use operator splitting methods to split the coupled system of equations into the ODE and PDE parts. Then, we examine different solvers for simulating each part separately. Experiments shows that solving the ODE part contributes significantly to the total work required for the simulation of the multi-cell models. Therefore, utilizing efficient solution methods for this part of the problem is a requirement. The goal of this research is investigating efficient algorithms for solving these mathematical models.

  • Subjects / Keywords
  • Graduation date
    2012-09
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R35D8K
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • Applied Mathematics
  • Supervisor / co-supervisor and their department(s)
    • Minev, Peter (Mathematical and Statistical Sciences)
    • Belhamadia, Youssef (Department of Mathematical and Statistical Sciences and Department of Biomedical Engineering)
  • Examining committee members and their departments
    • Hillen, Thomas (Mathematical and Statistical Sciences)
    • Minev, Peter (Mathematical and Statistical Sciences)
    • Adeeb, Samer (Civil and Environmental Engineering)
    • Belhamadia, Youssef (Department of Mathematical and Statistical Sciences and Department of Biomedical Engineering)