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    Chapter and Conference Paper

    A Flux-Conservative Finite Difference Scheme for the Numerical Solution of the Nonlinear Bioheat Equation

    We present a flux-conservative finite difference (FCFD) scheme for solving the nonlinear (bio)heat transfer in living tissue. The proposed scheme deals with steep gradients in the material properties for malig...

    George C. Bourantas, Grand R. Joldes in Computational Biomechanics for Medicine (2019)

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    Chapter and Conference Paper

    A Discrete Element Method for Modelling Cell Mechanics: Application to the Simulation of Chondrocyte Behavior in the Growth Plate

    In this paper we describe a discrete element method (DEM) framework we have developed for modelling the mechanical behavior of cells and tissues. By using a particle method we are able to simulate mechanical p...

    Grand R. Joldes, George C. Bourantas in Computational Biomechanics for Medicine (2019)

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    Chapter and Conference Paper

    Towards Visualising and Understanding Patient-Specific Biomechanics of Abdominal Aortic Aneurysms

    An abdominal aortic aneurysm (AAA) is a permanent and irreversible dilation of the lower aortic region. The current clinical rupture risk indicator for AAA repair is an anterior-posterior AAA diameter exceedin...

    K. R. Beinart, George C. Bourantas, Karol Miller in Computational Biomechanics for Medicine (2020)

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    Chapter and Conference Paper

    A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

    We present a flux-conservative finite difference (FCFD) scheme for solving inhomogeneous anisotropic bioelectric problems. The method applies directly on the raw medical image data without the need for sophist...

    George C. Bourantas, Benjamin F. Zwick in Computational Biomechanics for Medicine (2020)

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    Chapter and Conference Paper

    Efficient and Accurate Computation of Quantitative Flow Ratio (QFR) for Physiological Assessment of Coronary Artery Stenosis from a Single Angiographic View

    In this study we develop a fast (less than 30 s) method to compute the quantitative flow ratio (QFR) from angiographic images. We evaluate its diagnostic accuracy in patients with intermediate coronary stenosi...

    George C. Bourantas, Grigorios Tsigkas in Computational Biomechanics for Medicine (2022)

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    Chapter and Conference Paper

    Generation of Patient-Specific Structured Hexahedral Mesh of Aortic Aneurysm Wall

    (AAA) is an enlargement in the lower part of the main artery “Aorta” by 1.5 times its normal diameter. AAA can cause death if rupture occurs. Elective surgeries are recommended to prevent rupture based on mea...

    Farah Alkhatib, George C. Bourantas, Adam Wittek in Computational Biomechanics for Medicine (2023)