Now showing items 1-20 of 20

  • Lee, Jeonghun J.; Piersanti, Eleonora; Mardal, Kent-Andre; Rognes, Marie Elisabeth (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
    In this paper, we present and analyze a new mixed finite element formulation of a general family of quasi-static multiple-network poroelasticity (MPET) equations. The MPET equations describe flow and deformation in an ...
  • Valnes, Lars Magnus; Mitusch, Sebastian; Ringstad, Geir; Eide, Per Kristian; Funke, Simon Wolfgang; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
    The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer’s disease. The glymphatic hypothesis is still ...
  • Ringstad, Geir; Valnes, Lars Magnus; Dale, Anders; Pripp, Are Hugo; Vatnehol, Svein Are Sirirud; Emblem, Kyrre Eeg; Mardal, Kent-Andre; Eide, Per Kristian (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2018)
    To what extent does the subarachnoid cerebrospinal fluid (CSF) compartment communicate directly with the extravascular compartment of human brain tissue? Interconnection between the subarachnoid CSF compartment and brain ...
  • Tveito, Aslak; Jæger, Karoline Horgmo; Kuchta, Miroslav; Mardal, Kent-Andre; Rognes, Marie Elisabeth (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2017)
    In this paper, we study a mathematical model of cardiac tissue based on explicit representation of individual cells. In this EMI model, the extracellular (E) space, the cell membrane (M), and the intracellular (I) space ...
  • Lindstrøm, Erika Kristina; Ringstad, Geir; Mardal, Kent-Andre; Eide, Per Kristian (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2018)
    The aim of the present study was to examine cerebrospinal fluid (CSF) volumetric net flow rate and direction at the cranio-cervical junction (CCJ) and cerebral aqueduct in individuals with idiopathic normal pressure ...
  • Erhardt, André Henrik; Mardal, Kent-Andre; Schreiner, Jakob Emil (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
    In this paper, we investigate the dynamics of a neuron–glia cell system and the underlying mechanism for the occurrence of seizures. For our mathematical and numerical investigation of the cell model we will use bifurcation ...
  • Buccino, Alessio Paolo; Kuchta, Miroslav; Jæger, Karoline Horgmo; Ness, Torbjørn V; Berthet, Pierre; Mardal, Kent-Andre; Cauwenberghs, Gert; Tveito, Aslak (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
    Objective. Mechanistic modeling of neurons is an essential component of computational neuroscience that enables scientists to simulate, explain, and explore neural activity. The conventional approach to simulation of ...
  • Vinje, Vegard; Eklund, Anders; Mardal, Kent-Andre; Rognes, Marie E; Støverud, Karen-Helene (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
    Background Infusion testing is a common procedure to determine whether shunting will be beneficial in patients with normal pressure hydrocephalus. The method has a well-developed theoretical foundation and ...
  • Gergelits, Tomas; Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Strakos, Zdenek (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
    In [IMA J. Numer. Anal., 29 (2009), pp. 24--42], Nielsen, Tveito, and Hackbusch study the operator generated by using the inverse of the Laplacian as the preconditioner for second order elliptic PDEs $-\nabla \cdot (k(x) ...
  • Seljebotn, Dag Sverre; Bærland, Trygve; Eriksen, Hans Kristian Kamfjord; Mardal, Kent-Andre; Wehus, Ingunn Kathrine (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
    We present a Bayesian model for multi-resolution component separation for cosmic microwave background (CMB) applications based on Wiener filtering and/or computation of constrained realizations, extending a previously ...
  • Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
    Coupled multiphysics problems often give rise to interface conditions naturally formulated in fractional Sobolev spaces. Here, both positive and negative fractionality are common. When designing efficient solvers for ...
  • Ringstad, Geir; Lindstrøm, Erika Kristina; Vatnehol, Svein Are; Mardal, Kent-Andre; Emblem, Kyrre Eeg; Eide, Per Kristian (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2017)
    Invasive monitoring of pulsatile intracranial pressure can accurately predict shunt response in patients with idiopathic normal pressure hydrocephalus, but may potentially cause complications such as bleeding and infection. ...
  • Haga, Per Thomas; Pizzichelli, Giulia; Mortensen, Mikael; Kuchta, Miroslav; Pahlavian, Soroush Heidari; Sinibaldi, Edoardo; Martin, Bryn A.; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2017)
    Intrathecal drug and gene vector delivery is a procedure to release a solute within the cerebrospinal fluid. This procedure is currently used in clinical practice and shows promise for treatment of several central nervous ...
  • Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael (Journal article / Tidsskriftartikkel / SubmittedVersion, 2019)
    The Neumann problem of linear elasticity is singular with a kernel formed by the rigid motions of the body. There are several tricks that are commonly used to obtain a nonsingular linear system. However, they often cause ...
  • Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar (Journal article / Tidsskriftartikkel / SubmittedVersion, 2016)
    Biot's consolidation model in poroelasticity has a number of applications in science, medicine, and engineering. The model depends on various parameters, and in practical applications these parameters range over several ...
  • Vinje, Vegard; Ringstad, Geir; Lindstrøm, Erika Kristina; Valnes, Lars Magnus; Rognes, Marie Elisabeth; Eide, Per Kristian; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
    Current theories suggest that waste solutes are cleared from the brain via cerebrospinal fluid (CSF) flow, driven by pressure pulsations of possibly both cardiac and respiratory origin. In this study, we explored the ...
  • Evju, Øyvind; Pozo, Jose M.; Frangi, Alejandro F.; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2017)
    Background: Using computational fluid dynamics (CFD) to compute the hemodynamics in cerebral aneurysms has received much attention in the last decade. The usability of these methods depends on the quality of the computations, ...
  • Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre (Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2019)
    We study perfusion by a multiscale model coupling diffusion in the tissue and diffusion along the one-dimensional segments representing the vasculature. We propose a block-diagonal preconditioner for the model equations ...
  • Funke, Simon Wolfgang; Nordaas, Magne; Evju, Øyvind; Alnæs, Martin; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
    Several cardiovascular diseases are caused from localised abnormal blood flow such as in the case of stenosis or aneurysms. Prevailing theories propose that the development is caused by abnormal wall shear stress in focused ...
  • Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2017)
    We discuss the construction of robust preconditioners for finite element approximations of Biot’s consolidation model in poroelasticity. More precisely, we study finite element methods based on generalizations of the ...