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  1. Coarctation of the aorta increases upper body arterial stiffness

    Article • Computer Methods in Biomechanics & Biomedical Engineering, February 2019, Taylor & Francis

    Associate Professor Peter Johnston

  2. Flow of non-Newtonian fluids in open channels

    Article • ANZIAM Journal, May 2018, Australian Mathematical Publishing Association, Inc.

    Associate Professor Peter Johnston

  3. The effects of tapering and artery wall stiffness on treatments for Coarctation of the Aorta

    Article • Computer Methods in Biomechanics & Biomedical Engineering, October 2017, Taylor & Francis

    Associate Professor Peter Johnston

  4. A mathematical model for atherosclerotic plaque formation and arterial wall remodelling

    Article • ANZIAM Journal, November 2016, Australian Mathematical Publishing Association, Inc.

    Associate Professor Peter Johnston

  5. Predicting blood pressure in aortas treated for coarctation

    Article • ANZIAM Journal, June 2016, Australian Mathematical Publishing Association, Inc.

    Associate Professor Peter Johnston

  6. Application of robust Generalised Cross-Validation to the inverse problem of electrocardiology

    Article • Computers in Biology and Medicine, February 2016, Elsevier

    Associate Professor Peter Johnston

  7. How long is my toilet roll? – a simple exercise in mathematical modelling

    Article • International Journal of Mathematical Education in Science and Technology, September 2013, Taylor & Francis

    Associate Professor Peter Johnston

  8. A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method

    Article • Journal of Computational and Applied Mathematics, June 2013, Elsevier

    Associate Professor Peter Johnston

  9. Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals

    Article • Engineering Analysis with Boundary Elements, April 2013, Elsevier

    Associate Professor Peter Johnston

  10. How ischaemic region shape affects ST potentials in models of cardiac tissue

    Article • Mathematical Biosciences, October 2012, Elsevier

    Associate Professor Peter Johnston

  11. Estimates of the error in Gauss–Legendre quadrature for double integrals

    Article • Journal of Computational and Applied Mathematics, October 2011, Elsevier

    Associate Professor Peter Johnston

  12. A sensitivity study of conductivity values in the passive bidomain equation

    Article • Mathematical Biosciences, August 2011, Elsevier

    Associate Professor Peter Johnston

  13. A nondimensional formulation of the passive bidomain equation

    Article • Journal of Electrocardiology, March 2011, Elsevier

    Associate Professor Peter Johnston

  14. A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses

    Article • Applied Mathematical Modelling, June 2010, Elsevier

    Associate Professor Peter Johnston, Prashanta K Mandal

  15. A finite volume method solution for the bidomain equations and their application to modelling cardiac ischaemia

    Article • Computer Methods in Biomechanics & Biomedical Engineering, April 2010, Taylor & Francis

    Associate Professor Peter Johnston

  16. Approximate solutions for certain bidomain problems in electrocardiography

    Article • Physical Review E, October 2008, American Physical Society (APS)

    Associate Professor Peter Johnston

  17. The iterated sinh transformation

    Article • International Journal for Numerical Methods in Engineering, July 2008, Wiley

    Associate Professor Peter Johnston

  18. A solution method for the determination of cardiac potential distributions with an alternating current sourceThis work was supported by the Australian Research Council.

    Article • Computer Methods in Biomechanics & Biomedical Engineering, June 2008, Taylor & Francis

    Associate Professor Peter Johnston

  19. Clenshaw–Curtis and Gauss–Legendre Quadrature for Certain Boundary Element Integrals

    Article • SIAM Journal on Scientific Computing, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Associate Professor Peter Johnston

  20. Gauss–Legendre quadrature for the evaluation of integrals involving the Hankel function

    Article • Journal of Computational and Applied Mathematics, January 2008, Elsevier

    Associate Professor Peter Johnston

  21. Error analysis for a

    Article • Journal of Computational and Applied Mathematics, June 2007, Elsevier

    Associate Professor Peter Johnston

  22. The relative effects of arterial curvature and lumen diameter on wall shear stress distributions in human right coronary arteries

    Article • Physics in Medicine and Biology, April 2007, Institute of Physics Publishing

    Associate Professor Peter Johnston

  23. Possible Four-Electrode Configurations for Measuring Cardiac Tissue Fiber Rotation

    Article • IEEE Transactions on Biomedical Engineering, March 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Associate Professor Peter Johnston

  24. A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals

    Article • International Journal for Numerical Methods in Engineering, January 2007, Wiley

    Associate Professor Peter Johnston

  25. A new approach to the determination of cardiac potential distributions: Application to the analysis of electrode configurations

    Article • Mathematical Biosciences, August 2006, Elsevier

    Associate Professor Peter Johnston

  26. Analysis of Electrode Configurations for Measuring Cardiac Tissue Conductivities and Fibre Rotation

    Article • Annals of Biomedical Engineering, May 2006, Springer Science + Business Media

    Associate Professor Peter Johnston

  27. Non-Newtonian blood flow in human right coronary arteries: Transient simulations

    Article • Journal of Biomechanics, January 2006, Elsevier

    Associate Professor Peter Johnston

  28. Erratum to “Non-Newtonian blood flow in human right coronary arteries: Transient simulations”

    Article • Journal of Biomechanics, January 2006, Elsevier

    Associate Professor Peter Johnston

  29. The effect of simplifying assumptions in the bidomain model of cardiac tissue: Application to ST segment shifts during partial ischaemia

    Article • Mathematical Biosciences, November 2005, Elsevier

    Associate Professor Peter Johnston

  30. A sinh transformation for evaluating nearly singular boundary element integrals

    Article • International Journal for Numerical Methods in Engineering, January 2005, Wiley

    Associate Professor Peter Johnston

  31. Non-Newtonian blood flow in human right coronary arteries: steady state simulations

    Article • Journal of Biomechanics, May 2004, Elsevier

    Associate Professor Peter Johnston

  32. A modified non-linear transformation method for evaluating weakly singular boundary integrals

    Article • Applied Mathematics and Computation, January 2004, Elsevier

    Associate Professor Peter Johnston

  33. A cylindrical model for studying subendocardial ischaemia in the left ventricle

    Article • Mathematical Biosciences, November 2003, Elsevier

    Associate Professor Peter Johnston

  34. The effect of conductivity values on ST segment shift in subendocardial ischaemia

    Article • IEEE Transactions on Biomedical Engineering, February 2003, Institute of Electrical & Electronics Engineers (IEEE)

    Associate Professor Peter Johnston

  35. Efficient boundary element method solution of potential problems that are large, linear and involve optimization of boundary geometry

    Article • Communications in Numerical Methods in Engineering, September 2002, Wiley

    Associate Professor Peter Johnston

  36. A simple device to improve the accuracy of evaluating weakly singular boundary element integrals

    Article • Communications in Numerical Methods in Engineering, January 2002, Wiley

    Associate Professor Peter Johnston

  37. A comparison of transformation methods for evaluating two-dimensional weakly singular integrals

    Article • International Journal for Numerical Methods in Engineering, January 2002, Wiley

    Associate Professor Peter Johnston