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Multi-Scale Parameterisation of a Myocardial Perfusion Model Using Whole-Organ Arterial Networks

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Abstract

A method to extract myocardial coronary permeabilities appropriate to parameterise a continuum porous perfusion model using the underlying anatomical vascular network is developed. Canine and porcine whole-heart discrete arterial models were extracted from high-resolution cryomicrotome vessel image stacks. Five parameterisation methods were considered that are primarily distinguished by the level of anatomical data used in the definition of the permeability and pressure-coupling fields. Continuum multi-compartment porous perfusion model pressure results derived using these parameterisation methods were compared quantitatively via a root-mean-square metric to the Poiseuille pressure solved on the discrete arterial vasculature. The use of anatomical detail to parameterise the porous medium significantly improved the continuum pressure results. The majority of this improvement was attributed to the use of anatomically-derived pressure-coupling fields. It was found that the best results were most reliably obtained by using porosity-scaled isotropic permeabilities and anatomically-derived pressure-coupling fields. This paper presents the first continuum perfusion model where all parameters were derived from the underlying anatomical vascular network.

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Acknowledgments

The authors would like to acknowledge funding from the Engineering and Physical Sciences Research Council (EP/G007527/2) European Community’s Seventh Framework Program FP7-ICT Grant No. 224495: euHeart, the Wellcome Trust Medical Engineering Centre at King’s College London, the National University of Ireland (ERH), the Netherlands Heart Foundation Grant 2006B226 (JAS and MS). JvdW was supported by a Veni grant from the Netherlands Organization for Scientific Research (NWO 91611171).

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Authors and Affiliations

  1. Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK

    Eoin R. Hyde

  2. Imaging Sciences & Biomedical Engineering Division, St Thomas’ Hospital, King’s College London, London, SE1 7EH, UK

    Andrew N. Cookson, Jack Lee, Christian Michler, Ayush Goyal, Taha Sochi, Radomir Chabiniok, Matthew Sinclair, David A. Nordsletten & Nicolas P. Smith

  3. Department of Biomedical Engineering and Physics, Academic Medical Centre, University of Amsterdam, Amsterdam, The Netherlands

    Jos Spaan, Jeroen P. H. M. van den Wijngaard & Maria Siebes

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  1. Eoin R. Hyde
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Correspondence to Eoin R. Hyde.

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Associate Editor Kerry Hourigan oversaw the review of this article.

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Hyde, E.R., Cookson, A.N., Lee, J. et al. Multi-Scale Parameterisation of a Myocardial Perfusion Model Using Whole-Organ Arterial Networks. Ann Biomed Eng 42, 797–811 (2014). https://doi.org/10.1007/s10439-013-0951-y

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