Essays about: "time-dependent diffusion"

Showing result 6 - 10 of 12 essays containing the words time-dependent diffusion.

  1. 6. Diffusion MRI of Brain Tissue: Importance of Axonal Trajectory

    University essay from Lunds universitet/Fysiska institutionen; Lunds universitet/Kärnfysik

    Author : Jan Brabec; [2018]
    Keywords : dMRI; diffusion magnetic resonance; axonal trajectory; axonal geometry; undulations; modeling; axons; inverse problem; diffusion spectrum; time-dependent diffusion; Physics and Astronomy;

    Abstract : Obtaining microstructural information non-invasively on brain tissue remains a challenge. Diffusion magnetic resonance imaging (dMRI) is an imaging method that can provide such information. That includes geometrical considerations of nerve cells projections, axons, that are present in the white matter of the human brain. READ MORE

  3. 7. A Cut Finite Element Method for Partial Differential Equations on Evolving Surfaces

    University essay from KTH/Numerisk analys, NA

    Author : Johan Wärnegård; [2016]
    Keywords : ;

    Abstract : This thesis deals with cut finite element methods (CutFEM) for solving partial differential equations (PDEs) on evolving interfaces. Such PDEs arise for example in the study of insoluble surfactants in multiphase flow. In CutFEM, the interface is embedded in a larger mesh which need not respect the geometry of the interface. READ MORE

  4. 8. Splitting a heart

    University essay from Lunds universitet/Fysiska institutionen; Lunds universitet/Matematisk fysik

    Author : Jakob Lavröd; [2016]
    Keywords : Physics and Astronomy;

    Abstract : This thesis investigates and numerically solves the Wohlfart-Arloch equations describing the electrical activity in the atrial part of the heart. This is done through operator splitting that is allowing the diffusion of ionic currents, and the local voltage-driven reactions in each cell to be de-coupled. READ MORE

  5. 9. Numerical Methods for the PDES on Curves and Surfaces

    University essay from Institutionen för datavetenskap

    Author : Dimitrios Kamilis; [2013]
    Keywords : ;

    Abstract : Curves and surfaces are manifolds that can be represented using implicit and parametric methods. With a representation in hand, one can define a partial differential equation on the manifold using differential tangential calculus. READ MORE

  6. 10. Accurate and Efficient Solution of the Smoluchowski Equation

    University essay from Institutionen för informationsteknologi

    Author : Mohammad Hossein Bani-Hashemian; [2011]
    Keywords : ;

    Abstract : The probability density function (PDF) of the relative position of molecules diffusing independently in three dimensional space according to Brownian motion and reacting with a certain probability when any two of them collide is given by the Smoluchowski equation. The PDF is used to sample particle positions in simulations of reaction-diffusion processes by particle-based simulation methods, like Green's Function Reaction Dynamics (GFRD) proposed by van Zon and ten Wolde. READ MORE