Department of Mathematics
Recent Submissions
-
Horizontal holonomy and foliated manifolds
(Journal article; Peer reviewed, 2019)We introduce horizontal holonomy groups, which are groups defined using parallel transport only along curves tangent to a given subbundle D of the tangent bundle. We provide explicit means of computing these holonomy groups ... -
Impact and detectability of hypothetical CCS offshore seep scenarios as an aid to storage assurance and risk assessment
(Journal article; Peer reviewed, 2020)Carbon Capture and Storage has the potential to make a significant contribution to the mitigation of climate change, however there is a regulatory and societal obligation to demonstrate storage robustness and minimal local ... -
Are Central Bankers Inflation Nutters? An MCMC Estimator of the Long-Memory Parameter in a State Space Model
(Journal article; Peer reviewed, 2019)Inflation targeting is a common monetary policy regime. Inflation targets are often flexible in the sense that the central bank allows inflation to temporarily deviate from the target to avoid causing unnecessary volatility ... -
Assessing non-linearity in European temperature-sensitive tree-ring data
(Journal article; Peer reviewed, 2020-02)We test the application of parametric, non-parametric, and semi-parametric calibration models for reconstructing summer (June–August) temperature from a set of tree-ring width and density data on the same dendro samples ... -
Optimal sensors placement for detecting CO2 discharges from unknown locations on the seafloor
(Journal article; Peer reviewed, 2020-04)Assurance monitoring of the marine environment is a required and intrinsic part of CO2 storage project. To reduce the costs related to the monitoring effort, the monitoring program must be designed with optimal use of ... -
Volatility modelling in time and space
(Doctoral thesis, 2020-11-06)This thesis contributes to the scientific community in several aspects. We introduce both spatial- and spatio-temporal extensions to the family of GARCH and ARMA-GARCH models and present asymptotic statistics for the quasi ... -
HyperTraPS: Inferring probabilistic patterns of trait acquisition in evolutionary and disease progression pathways
(Peer reviewed; Journal article, 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 ... -
Consistent MPFA Discretization for Flow in the Presence of Gravity
(Peer reviewed; Journal article, 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 ... -
Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations
(Conference object; Peer reviewed; Journal article, 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 ... -
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 ... -
Impact of temporomandibular joint complaints on tinnitus-related distress
(Peer reviewed; Journal article, 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, ... -
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 ... -
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
(Peer reviewed; Journal article, 2020)A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear ... -
Precision identification of high-risk phenotypes and progression pathways in severe malaria without requiring longitudinal data
(Peer reviewed; Journal article, 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 ... -
Energetic costs of cellular and therapeutic control of stochastic mitochondrial DNA populations
(Peer reviewed; Journal article, 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 ... -
Reactivation of fractures in subsurface reservoirs - A numerical approach using a static-dynamic friction model
(Chapter; Peer reviewed; Journal article, 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 ... -
Does diabetes influence the probability of experiencing chronic low back pain? A population-based cohort study: the Nord-Trøndelag Health Study
(Peer reviewed; Journal article, 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 ... -
Implementation of mixed-dimensional models for flow in fractured porous media
(Peer reviewed; Journal article, 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 ... -
On the optimization of the fixed‐stress splitting for Biot's equations
(Peer reviewed; Journal article, 2019)In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for iteratively solving Biot's equations. ... -
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 ...
RSS 2.0