Browsing Department of Mathematics by Title
Now showing items 150169 of 678

Energetic costs of cellular and therapeutic control of stochastic mitochondrial DNA populations
(Peer reviewed; Journal article, 20190626)The dynamics of the cellular proportion of mutant mtDNA molecules is crucial for mitochondrial diseases. Cellular populations of mitochondria are under homeostatic control, but the details of the control mechanisms involved ... 
Energieffektivitet i grunne geotermiske systemer. Modellering og analyse av systemet på Ljan skole.
(Master thesis, 20130617)Grunnvarme er en stadig viktigere og mer anvendt energikilde i en verden med et økende energibehov, og det er i den forbindelse viktig å utforme systemer som kan utnytte energien på en effektiv måte. Denne oppgaven tar for ... 
Ensemble Methods of Data Assimilation in Porous Media Flow for NonGaussian Prior Probability Density
(Doctoral thesis, 20150828)Ensemblebased dataassimilation methods have gained fast growth since the ensemble Kalman filter (EnKF) was introduced into the petroleum engineering. Many techniques have been developed to overcome the inherent disadvantages ... 
Entropy solutions of the compressible Euler equations
(Journal article, 20150511)We consider the threedimensional Euler equations of gas dynamics on a bounded periodic domain and a bounded time interval. We prove that LaxFriedrichs scheme can be used to produce a sequence of solutions with ever finer ... 
ENUMATH 2017: Book of Abstracts
(Conference object; Peer reviewed, 2017) 
Er konsum av melk og egg assosiert med risiko for kreft? Foreløpige resultater fra en prospektiv undersøkelse
(Peer reviewed; Journal article, 1997) 
Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements
(Peer reviewed; Journal article, 20180720)Onecompartment 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 ... 
Estimation and identifiability of kinetic parameters in dynamical models of biochemical reaction networks
(Doctoral thesis, 20200218)This dissertation is a partial fulfillment of the requirements for the degree Doctor of Philosophy (PhD) at the Department of Mathematics, University of Bergen. The subject of the thesis is estimation of parameters in ... 
Estimation of AR parameters in time series with suddenly changing structure
(Statistical report no. 19, Research report, 198807) 
Estimering av permeabilitet med bruk av adaptiv parameterisering
(Master thesis, 20090717) 
Evolution of a narrowband spectrum of random surface gravity waves
(Journal article, 200303) 
Evolving mtDNA populations within cells
(Peer reviewed; Journal article, 2019)Mitochondrial DNA (mtDNA) encodes vital respiratory machinery. Populations of mtDNA molecules exist in most eukaryotic cells, subject to replication, degradation, mutation, and other population processes. These processes ... 
Exact and Superconvergent Solutions of the MultiPoint Flux Approximation Omethod: Analysis and Numerical Tests
(Master thesis, 20140602)In this thesis we prove the multipoint flux approximation Omethod (MPFA) to yield exact potential and flux for the trigonometric potential functions u(x,y)=sin(x)sin(y) and u(x,y)=cos(x)cos(y). This is done on uniform ... 
Exact solutions for shoaling waves in shallow water
(Master thesis, 20170322)The dynamics of shallowwater waves at the surface of an inviscid and incompressible fluid over a background shear flow approaching a sloping beach are investigated. First, we derive the nonlinear shallowwater equations ... 
Existence and Uniqueness of Nonlinear, Possibly Degenerate Parabolic PDEs, with Applications to Flow in Porous Media
(Master thesis, 20170726)In the branch of mathematical analysis known as functional analysis, one mainly studies functions defined on vector spaces. For partial differential equations (PDEs), this analysis has proven to be a mighty resource of ... 
Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
(Peer reviewed; Journal article, 20181030) 
Existence of a classical solution of a parabolic PIDE associated with ruin probability
(20120618)In this article we will prove existence of a classical solution of the integrodifferential equation for ruin probability in finite time stated in Paulsen (2008). 
Experimental design for parameter estimation in steadystate linear models of metabolic networks
(Journal article; Peer reviewed, 202001)Metabolic networks are typically large, containing many metabolites and reactions. Dynamical models that aim to simulate such networks will consist of a large number of ordinary differential equations, with many kinetic ... 
Explicit volumepreserving splitting methods for divergencefree ODEs by tensorproduct basis decompositions
(Peer reviewed; Journal article, 20140223)We discuss the construction of volumepreserving splitting methods based on a tensor product of singlevariable basis functions. The vector field is decomposed as the sum of elementary divergencefree vector fields (EDFVFs), ... 
An Exploratory Analysis of MultiClass Uncertainty Approximation in Bayesian Convolutional Neural Networks
(Master thesis, 20181122)Neural networks are an important and powerful family of models, but they have lacked practical ways of estimating predictive uncertainty. Recently, researchers from the Bayesian machine learning community developed a ...