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    Computationally efficient velocity profile solutions for cardiac haemodynamics

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    Author
    Hann, C.E.
    Chase, J.G.
    Smith, B.W.
    Shaw, G.M.
    Date
    2004
    Permanent Link
    http://hdl.handle.net/10092/155

    This paper reformulates the non-linear differential equations associated with time varying resistance in minimal cardio-vascular system models into a system of linear equations with an analytical solution. The importance of including time varying resistance is shown for a single chamber model where there is a 17.5% difference in cardiac output when compared with a constant resistance model. However, the increased complexity has significant extra computational cost. This new formulation provides a significant computational saving of 15x over the previous method. This improvement enables more physiological accuracy with minimal cost in computational time. As a result, the model can be used in clinical situations to aid diagnosis and therapy selection without compromising on physiological accuracy.

    Subjects
    Time varying resistance
     
    Non-linear
     
    Linear
     
    Computationally efficient
     
    Analytical solution
     
    Fields of Research::230000 Mathematical Sciences::230100 Mathematics::230119 Systems theory and control
     
    Fields of Research::290000 Engineering and Technology::290500 Mechanical and Industrial Engineering::290501 Mechanical engineering
     
    Fields of Research::320000 Medical and Health Sciences::321000 Clinical Sciences::321008 Haematology
     
    Fields of Research::320000 Medical and Health Sciences::321000 Clinical Sciences::321003 Cardiology (incl. cardiovascular disease)
    Collections
    • Engineering: Conference Contributions [1816]
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