Blar i Department of Mathematics på tittel
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Mitochondrial network state scales mtDNA genetic dynamics
(Peer reviewed; Journal article, 2019)Mitochondrial DNA (mtDNA) mutations cause severe congenital diseases but may also be associated with healthy aging. mtDNA is stochastically replicated and degraded, and exists within organelles which undergo dynamic fusion ... -
Mitochondrial network structure controls cell-to-cell mtDNA variability generated by cell divisions
(Journal article; Peer reviewed, 2023)Mitochondria are highly dynamic organelles, containing vital populations of mitochondrial DNA (mtDNA) distributed throughout the cell. Mitochondria form diverse physical structures in different cells, from cell-wide ... -
Mixed approach for coupled flow and mechanics in a fractured medium
(Master thesis, 2023-06-01)Denne avhandlingen presenterer en blandet endelig element metode for Biot ligningene for poroelastisitet i et reservoar, sammenkoblet med en blandet formulering av strømning innenfor en sprekk. Sprekken er representert som ... -
A Mixed Approach to the Poisson Problem with Line Sources
(Journal article; Peer reviewed, 2021)In this work we consider the dual-mixed variational formulation of the Poisson equation with a line source. The analysis and approximation of this problem is nonstandard, as the line source causes the solutions to be ... -
Mixed-dimensional auxiliary space preconditioners
(Journal article; Peer reviewed, 2020)This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this ... -
Mixed-dimensional poromechanical models of fractured porous media
(Journal article; Peer reviewed, 2022)We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fractured materials. We present models in both the ... -
Model Construction with Support Vector Machines and Gaussian Processes through Kernel Search
(Master thesis, 2019-08-16) -
Model development for efficient simulation of CO2 storage
(Doctoral thesis, 2018-02-16)Carbon capture and storage (CCS) is an important component of several initiatives to reduce global greenhouse gas emissions by injecting and storing CO2 in underground reservoirs. Simulation technology plays an important ... -
Model selection and parameter estimation for root architecture models using likelihood-free inference
(Peer reviewed; Journal article, 2019)Plant root systems play vital roles in the biosphere, environment and agriculture, but the quantitative principles governing their growth and architecture remain poorly understood. The ‘forward problem’ of what root forms ... -
Model selection in time series by Deep Learning
(Master thesis, 2020-06-30)In this thesis, we will explore the use of deep learning techniques for model selection in time series. We compare the results from this with more traditional approaches for model selection, namely the Akaike and Bayesian ... -
Model Spaces in Riemannian and Sub-Riemannian Geometries
(Master thesis, 2018-06-27)The development of Riemannian geometry has been highly influenced by certain spaces with maximal symmetry called model spaces. Following in the footsteps of Klein's Erlangen program, model spaces fit with the approach of ... -
Modeling a 3-D multiscale blood-flow and heat-transfer framework for realistic vascular systems
(Journal article; Peer reviewed, 2022)Modeling of biological domains and simulation of biophysical processes occurring in them can help inform medical procedures. However, when considering complex domains such as large regions of the human body, the complexities ... -
Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions
(Journal article; Peer reviewed, 2021)When modeling fluid flow in fractured reservoirs, it is common to represent the fractures as lower-dimensional inclusions embedded in the host medium. Existing discretizations of flow in porous media with thin inclusions ... -
Modeling and simulation of blood circulation and perfusion
(Doctoral thesis, 2023-06-16)Numeriske simuleringer har hatt vesentlig betydning for vår forståelse av perfusjon og blodsirkulasjon, og simuleringer gir også viktig innsikt under utviklingen av medisinske anvendelser. Teknologiske fremskritt har ... -
Modeling and simulation of concrete carbonation in 1-d using two-point flux approximation
(Master thesis, 2013-11-21)In this master's thesis we will model concrete carbonation using mass conservation equations and Darcy's law. We then get a set of coupled partial differential equations. We also have a ordinary differential equation ... -
Modeling and simulation of EOR due to biofilm formation and gas production
(Master thesis, 2019-06-15)Microbial enhanced oil recovery (MEOR) is a collective term for more environmen- tally friendly enhanced oil recovery (EOR) techniques. EOR methods are techniques used after primary and secondary stage of oil recovery ... -
Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area
(Master thesis, 2016-05-31)In today's world, oil remains the main source of energy. After discovering a petroleum reservoir, one can extract about 30% of the oil by using and maintaining the initial pressure in the reservoir through water ooding ... -
Modeling and Upscaling of Deformation Bands in Fault Damage Zones
(Master thesis, 2008) -
Modeling Dissolution within Vertically Averaged Formulations
(Master thesis, 2010-06-10)In this thesis we develop a mathematical model describing the migration and trapping of CO2 when injecting it in a deep saline aquifer. Both the migration and trapping processes are inherently complex, spanning multiple ... -
Modeling In Vivo Interstitial Hydration-Pressure Relationships in Skin and Skeletal Muscle
(Peer reviewed; Journal article, 2018-09)A theoretical understanding of hydrostatic pressure-fluid volume relationships, or equations of state, of interstitial fluid in skin and skeletal muscle through mathematical/physical modeling is lacking. Here, we investigate ...