Department of Mathematics: Recent submissions
Now showing items 1-20 of 1041
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Screening for Circulating Inflammatory Proteins Does Not Reveal Plasma Biomarkers of Constant Tinnitus
(Journal article; Peer reviewed, 2023)Background and Objective Tinnitus would benefit from an objective biomarker. The goal of this study is to identify plasma biomarkers of constant and chronic tinnitus among selected circulating inflammatory proteins. ... -
Computational issues in parameter estimation for hidden Markov models with template model builder
(Journal article; Peer reviewed, 2023)A popular way to estimate the parameters of a hidden Markov model (HMM) is direct numerical maximization (DNM) of the (log-)likelihood function. The advantages of employing the TMB [Kristensen K, Nielsen A, Berg C, et al. ... -
Tinnitus Is Marginally Associated with Body Mass Index, Heart Rate and Arterial Blood Pressure: Results from a Large Clinical Sample
(Journal article; Peer reviewed, 2023)Introduction: This study aimed to explore whether body mass index (BMI), systolic blood pressure (RR syst), diastolic blood pressure (RR diast) or heart rate (HR) are associated with tinnitus status and/or severity. Methods: ... -
A TMB Approach to Study Spatial Variation in Weather-Generated Claims in Insurance
(Journal article; Peer reviewed, 2023)In this paper, we use TMB to study spatial variation in weather-generated claims in insurance. Our motivation is twofold. By comparing with INLA, we first find that TMB is a robust and efficient approach to deal with spatial ... -
Particle Trajectories in Long Wave Models
(Doctoral thesis, 2024-04-05)Atferden og mønstrene til partikkelbaner i bølgebevegelser i grunt vann har blitt studert av forskere i flere tiår, spesielt har egenskapene til strømmer under overflatebølger i grunt vann blitt studert ved bruk av matematiske ... -
On coupled envelope evolution equations in the Hamiltonian theory of nonlinear surface gravity waves
(Journal article; Peer reviewed, 2023)This paper presents a novel theoretical framework in the Hamiltonian theory of nonlinear surface gravity waves. The envelope of surface elevation and the velocity potential on the free water surface are introduced in the ... -
The influence of directional spreading on rogue waves triggered by abrupt depth transitions
(Journal article; Peer reviewed, 2023)An increased number of rogue waves, relative to standard distributions, can be induced by unidirectional waves passing over abrupt decreases in water depth. We investigate this phenomenon in a more general setting of ... -
Coupled effects of wave and depth-dependent current interaction on loads on a bottom-fixed vertical slender cylinder
(Journal article; Peer reviewed, 2023)The coupled effects of waves and a subsurface current on the hydrodynamic loads on offshore slender structures in coastal water regions have been examined in this paper, especially the coupling of the weak nonlinearity of ... -
On the formation of coastal rogue waves in water of variable depth
(Journal article; Peer reviewed, 2023)Wave transformation is an intrinsic dynamic process in coastal areas. An essential part of this process is the variation of water depth, which plays a dominant role in the propagation features of water waves, including a ... -
Avoiding misleading estimates using mtDNA heteroplasmy statistics to study bottleneck size and selection
(Journal article; Peer reviewed, 2023)Mitochondrial DNA heteroplasmy samples can shed light on vital developmental and genetic processes shaping mitochondrial DNA populations. The sample means and sample variance of a set of heteroplasmy observations are ... -
Exchange on dynamic encounter networks allows plant mitochondria to collect complete sets of mitochondrial DNA products despite their incomplete genomes
(Journal article; Peer reviewed, 2022)Mitochondria in plant cells usually contain less than a full copy of the mitochondrial DNA (mtDNA) genome. Here, we asked whether mitochondrial dynamics may allow individual mitochondria to ‘collect’ a full set of mtDNA-encoded ... -
What is quantitative plant biology?
(Journal article; Peer reviewed, 2021)Quantitative plant biology is an interdisciplinary field that builds on a long history of biomathematics and biophysics. Today, thanks to high spatiotemporal resolution tools and computational modelling, it sets a new ... -
Intracellular Energy Variability Modulates Cellular Decision-Making Capacity
(Journal article; Peer reviewed, 2019)Cells generate phenotypic diversity both during development and in response to stressful and changing environments, aiding survival. Functionally vital cell fate decisions from a range of phenotypic choices are made by ... -
Data science approaches provide a roadmap to understanding the role of abscisic acid in defence
(Journal article; Peer reviewed, 2023)Abscisic acid (ABA) is a plant hormone well known to regulate abiotic stress responses. ABA is also recognised for its role in biotic defence, but there is currently a lack of consensus on whether it plays a positive or ... -
Integration by Riemann triangles
(Journal article; Peer reviewed, 2024)In this article we present a method of integration inspired by an example from Proofs Without Words II by Nelsen. Riemann rectangles under a curve are transformed into triangles. The limit of the collection of triangles ... -
Stochastic organelle genome segregation through Arabidopsis development and reproduction
(Journal article; Peer reviewed, 2024)Organelle DNA (oDNA) in mitochondria and plastids is vital for plant (and eukaryotic) life. Selection against damaged oDNA is mediated in part by segregation – sorting different oDNA types into different cells in the ... -
Stromule Geometry Allows Optimal Spatial Regulation of Organelle Interactions in the Quasi-2D Cytoplasm
(Journal article; Peer reviewed, 2023)In plant cells, plastids form elongated extensions called stromules, the regulation and purposes of which remain unclear. Here, we quantitatively explore how different stromule structures serve to enhance the ability of a ... -
Effects of complex neck therapy – kinesiotherapy and interspinal muscles massage – on tinnitus
(Journal article, 2023)Introduction: Past studies have shown connections between the somatosensory system (the neck and temporomandibular joint region) and the auditory system. It is therefore likely that tinnitus patients might benefit from ... -
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations
(Journal article; Peer reviewed, 2024)It is shown that the Boussinesq–Peregrine system, which describes long waves of small amplitude at the surface of an inviscid fluid with variable depth, admits a number of approximate conservation equations. Notably, this ... -
Collective mitochondrial dynamics resolve conflicting cellular tensions: From plants to general principles
(Journal article; Peer reviewed, 2023)Mitochondria play diverse and essential roles in eukaryotic cells, and plants are no exception. Plant mitochondria have several differences from their metazoan and fungal cousins: they often exist in a fragmented state, ...