• Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements 

      Hanson, Erik Andreas; Sandmann, Constantin; Malyshev, Alexander; Lundervold, Arvid; Modersitzki, Jan; Hodneland, Erlend (Peer reviewed; Journal article, 2018-07-20)
      One-compartment models are widely used to quantify hemodynamic parameters such as perfusion, blood volume and mean transit time. These parameters are routinely used for clinical diagnosis and monitoring of disease development ...
    • A Lanczos-view on Independent Component Analysis of fMRI Data 

      Hanson, Erik Andreas (Master thesis, 2010-06-04)
      Analysis of resting-state fMRI data is commonly done by a combination of the two signal processing methods Principal Component Analysis (PCA) and Independent Component analysis (ICA). In this thesis, a possible error caused ...
    • Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments 

      Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan; Nævdal, Geir; Nordbotten, Jan Martin; Sævareid, Ove; Zanna, Antonella (Lecture Notes in Computational Science and Engineering, Chapter; Peer reviewed; Journal article, 2019)
      Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the ...
    • A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model 

      Hodneland, Erlend; Hanson, Erik Andreas; Sævareid, Ove; Nævdal, Geir; Lundervold, Arvid; Solteszova, Veronika; Zanna, Antonella; Deistung, Andreas; Reichenbach, Jürgen; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019-06-25)
      A large variety of severe medical conditions involve alterations in microvascular circulation. Hence, measurements or simulation of circulation and perfusion has considerable clinical value and can be used for diagnostics, ...
    • A nonlinear multi-scale model for blood circulation in a realistic vascular system 

      Qohar, Ulin Nuha Abdul; Munthe-Kaas, Antonella Zanna; Nordbotten, Jan Martin; Hanson, Erik Andreas (Journal article; Peer reviewed, 2021)
      In the last decade, numerical models have become an increasingly important tool in biological and medical science. Numerical simulations contribute to a deeper understanding of physiology and are a powerful tool for better ...
    • Perfusion estimation using synthetic MRI-based measurements and a porous media flow model 

      Lorentzen, Rolf Johan; Nævdal, Geir; Sævareid, Ove; Hodneland, Erlend; Hanson, Erik Andreas; Munthe-Kaas, Antonella Zanna (Journal article; Peer reviewed, 2023)
      The measurement of perfusion and filtration of blood in biological tissue give rise to important clinical parameters used in diagnosis, follow-up, and therapy. In this paper, we address techniques for perfusion analysis ...