Department of Mathematics
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Recent Submissions
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Dynamical modeling of pathogenic bacteria in surface drinking water
(The University of Bergen, 2020-10-08)Dynamisk modellering av økologiske systemer har vært et interessant verktøy for å forstå samspillet mellom arter i naturen. I denne oppgaven konstruerer vi et dynamisk system for interaksjon mellom patogene bakterier og ...Master thesis -
Hidden Markov and Hidden Semi-Markov models on Financial Timeseries
(The University of Bergen, 2020-09-11)Master thesis -
Markov-switching GARCH models with application to insurance claims
(The University of Bergen, 2020-09-11)Master thesis -
Mathematical and numerical methods for physical regulations of medical images
(The University of Bergen, 2020-08-25)Master thesis -
HyperTraPS: Inferring probabilistic patterns of trait acquisition in evolutionary and disease progression pathways
(Cell Press, 2020)The explosion of data throughout the biomedical sciences provides unprecedented opportunities to learn about the dynamics of evolution and disease progression, but harnessing these large and diverse datasets remains ...Journal article -
Gradient Methods for Source Identification Problems
(The University of Bergen, 2020-08-19)In this thesis we are interested in the problem of identifying point sources in an advection-diffusion model, given some measurements. By writing the problem as a minimization problem, we use a non-linear conjugate gradient ...Master thesis -
Consistent MPFA Discretization for Flow in the Presence of Gravity
(AGU, 2019)A standard practice used in the industry to discretizing the gravity term in the two‐phase Darcy flow equations is to apply an upwind strategy. In this paper, we show that this can give a persistent unphysical flux field ...Journal article -
Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations
(Springer, 2019)Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore lower order schemes are used for the numerical ...Conference object -
Mitochondrial network state scales mtDNA genetic dynamics
(Genetics Society of America, 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 ...Journal article -
Model selection and parameter estimation for root architecture models using likelihood-free inference
(The Royal Society Publishing, 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 ...Journal article -
Impact of temporomandibular joint complaints on tinnitus-related distress
(Frontiers, 2019-08-22)There is increasing evidence of associations between the presence of temporomandibular joint (TMJ) disorders and tinnitus. It has been recently proposed that tinnitus patients with TMJ complaints could constitute a subtype, ...Journal article -
Precision identification of high-risk phenotypes and progression pathways in severe malaria without requiring longitudinal data
(Nature, 2019)More than 400,000 deaths from severe malaria (SM) are reported every year, mainly in African children. The diversity of clinical presentations associated with SM indicates important differences in disease pathogenesis that ...Journal article -
Reactivation of fractures in subsurface reservoirs - A numerical approach using a static-dynamic friction model
(Springer, 2019)Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional ...Chapter -
Energetic costs of cellular and therapeutic control of stochastic mitochondrial DNA populations
(PLoS, 2019-06-26)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 ...Journal article -
Does diabetes influence the probability of experiencing chronic low back pain? A population-based cohort study: the Nord-Trøndelag Health Study
(BMJ, 2019)Objective: Low back pain (LBP) is a major problem in modern society and it is important to study possible risk factors for this disorder. People with diabetes are often affected by LBP, but whether diabetes represents a ...Journal article -
Kombinatoriske Hopf-algebraer og Loday-Ronco Hopf-algebraen av plane binære trær
(The University of Bergen, 2020-07-07)Master thesis -
Implementation of mixed-dimensional models for flow in fractured porous media
(Springer, 2019)Models that involve coupled dynamics in a mixed-dimensional geometry are of increasing interest in several applications. Here, we describe the development of a simulation model for flow in fractured porous media, where the ...Journal article -
Geometry of embedded CR manifolds
(The University of Bergen, 2020-07-03)The reader is introduced to the geometry of CR manifolds, which are real submanifolds of complex space with a complex structure on a subbundle of its tangent bundle. Explicit formulas for the geometrical aspects of CR(1,1) ...Master thesis -
Evolving mtDNA populations within cells
(Portland Press, 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 ...Journal article -
Model selection in time series by Deep Learning
(The University of Bergen, 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 ...Master thesis
