2,383 results match your criteria: "Mathematical Institute[Affiliation]"

Key Structural Features of Microvascular Networks Leading to the Formation of Multiple Equilibria.

Bull Math Biol

January 2025

Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Woodstock Rd, Oxford, Oxfordshire, OX2 6GG, UK.

We analyse mathematical models of blood flow in two simple vascular networks in order to identify structural features that lead to the formation of multiple equilibria. Our models are based on existing rules for blood rheology and haematocrit splitting. By performing bifurcation analysis on these simple network flow models, we identify a link between the changing flow direction in key vessels and the existence of multiple equilibria.

View Article and Find Full Text PDF

The flow network model is an established approach to approximate pressure-flow relationships in a bifurcating network, and has been widely used in many contexts. Existing models typically assume unidirectional flow and exploit Poiseuille's law, and thus neglect the impact of bifurcation geometry and finite-sized objects on the flow. We determine the impact of bifurcation geometry and objects by computing Stokes flows in a two-dimensional (2D) bifurcation using the Lightning-AAA Rational Stokes algorithm, a novel mesh-free algorithm for solving 2D Stokes flow problems utilizing an applied complex analysis approach based on rational approximation of the Goursat functions.

View Article and Find Full Text PDF

Idempotents and homology of diagram algebras.

Math Ann

August 2024

Mathematical Institute, Utrecht University, Heidelberglaan 8, 3584 CS Utrecht, The Netherlands.

This paper provides a systematization of some recent results in homology of algebras. Our main theorem gives criteria under which the homology of a diagram algebra is isomorphic to the homology of the subalgebra on diagrams having the maximum number of left-to-right connections. From this theorem, we deduce the 'invertible-parameter' cases of the Temperley-Lieb and Brauer results of Boyd-Hepworth and Boyd-Hepworth-Patzt.

View Article and Find Full Text PDF

Many mammalian cells, including endothelial cells and fibroblasts, align and elongate along the orientation of extracellular matrix (ECM) fibers in a gel when cultured . During cell elongation, clusters of focal adhesions (FAs) form near the poles of the elongating cells. FAs are mechanosensitive clusters of adhesions that grow under mechanical tension exerted by the cells' pulling on the ECM and shrink when the tension is released.

View Article and Find Full Text PDF

Tidal Deformation and Dissipation Processes in Icy Worlds.

Space Sci Rev

January 2025

Faculty of Mathematics and Physics, Department of Geophysics, Charles University, V Holesšovičkách 2, Praha, Praha 8 180 00 Czech Republic.

Tidal interactions play a key role in the dynamics and evolution of icy worlds. The intense tectonic activity of Europa and the eruption activity on Enceladus are clear examples of the manifestation of tidal deformation and associated dissipation. While tidal heating has long been recognized as a major driver in the activity of these icy worlds, the mechanism controlling how tidal forces deform the different internal layers and produce heat by tidal friction still remains poorly constrained.

View Article and Find Full Text PDF

Purpose: Moderate hypofractionation was adopted to reduce hospital visits during the COVID-19 pandemic aiming to maintain treatment efficacy for soft tissue sarcoma (STS) patients, shifting preoperative schedules from 25 fractions of 2 Gy to 14-15 fractions of 3 Gy. This study evaluates the clinical implications and outcomes of this schedule, focusing on wound complications, radiation toxicity, local tumour control, and distant metastases.

Patients And Methods: Data was collected from patients treated between 01 and 01-2020 and 31-12-2023.

View Article and Find Full Text PDF

Carbon dioxide capture underpins an important range of technologies that can help to mitigate climate change. Improved carbon capture technologies that are driven by electrochemistry are under active development, and it was recently found that supercapacitor energy storage devices can reversibly capture and release carbon dioxide. So-called supercapacitive swing adsorption (SSA) has several advantages over traditional carbon dioxide capture technologies such as lower energy consumption and the use of nontoxic materials.

View Article and Find Full Text PDF

Long-term survival of participants in the PASART-1 and PASART-2 trials of neo-adjuvant pazopanib and radiotherapy in soft tissue sarcoma.

Acta Oncol

January 2025

Department of Radiotherapy, the Netherlands Cancer Institute, Amsterdam, the Netherlands: Department of Radiotherapy, Leiden University Medical Center, Leiden, the

Objective: This study aims to assess the long-term safety and efficacy of adding pazopanib to neo-adjuvant radiotherapy followed by surgery in patients with high-risk non-metastatic soft tissue sarcoma of the trunk and extremities treated in the PASART-1 and PASART-2 trials, as well as to compare the PASART cohorts to a control cohort receiving standard treatment during the same time period from the Netherlands Cancer Registry (IKNL) to investigate if adding pazopanib improves Overall Survival (OS).

Methods: Updated follow-up data on disease control, survival and long-term toxicities of the PASART-trials were extracted from electronic patient records. The effect of adding pazopanib to neo-adjuvant radiotherapy on OS was investigated by comparing the combined PASART cohorts to the IKNL cohort via direct comparison and exact matching analysis.

View Article and Find Full Text PDF

Background: Trauma-focused psychotherapy is treatment of choice for post-traumatic stress disorder (PTSD). However, about half of patients do not respond. Recently, there is increased interest in brain criticality, which assesses the phase transition between order and disorder in brain activity.

View Article and Find Full Text PDF

Random walks and related spatial stochastic models have been used in a range of application areas, including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing and oncology. Classical random walk models assume that all individuals in a population behave independently, ignoring local physical and biological interactions. This assumption simplifies the mathematical description of the population considerably, enabling continuum-limit descriptions to be derived and used in model analysis and fitting.

View Article and Find Full Text PDF

Background: The 5-year prognosis of non-high-risk neuroblastomas is generally good (>90%). However, a proportion of patients show progression and succumb to their disease. We aimed to identify molecular aberrations (not incorporated in the current risk stratification) associated with overall survival (OS) and/or event-free survival (EFS) in patients diagnosed with non-high-risk neuroblastoma.

View Article and Find Full Text PDF

Clear cell kidney cancers are characterized both by conserved oncogenic driver events and by marked intratumor genetic and phenotypic heterogeneity, which help drive tumor progression, metastasis, and resistance to therapy. How these are reflected in transcriptional programs within the cancer and stromal cell components remains an important question with the potential to drive novel therapeutic approaches to treating cancer. To better understand these programs, we perform single-cell transcriptomics on 75 multi-regional biopsies from kidney tumors and normal kidney.

View Article and Find Full Text PDF

Towards Context-Rich Automated Biodiversity Assessments: Deriving AI-Powered Insights from Camera Trap Data.

Sensors (Basel)

December 2024

School of Biological and Environmental Sciences, Liverpool John Moores University, James Parsons Building, Byrom Street, Liverpool L3 3AF, UK.

Camera traps offer enormous new opportunities in ecological studies, but current automated image analysis methods often lack the contextual richness needed to support impactful conservation outcomes. Integrating vision-language models into these workflows could address this gap by providing enhanced contextual understanding and enabling advanced queries across temporal and spatial dimensions. Here, we present an integrated approach that combines deep learning-based vision and language models to improve ecological reporting using data from camera traps.

View Article and Find Full Text PDF

While there are many works on the applications of machine learning, not so many of them are trying to understand the theoretical justifications to explain their efficiency. In this work, overfitting control (or generalization property) in machine learning is explained using analogies from physics and biology. For stochastic gradient Langevin dynamics, we show that the Eyring formula of kinetic theory allows to control overfitting in the algorithmic stability approach-when wide minima of the risk function with low free energy correspond to low overfitting.

View Article and Find Full Text PDF

Background: Bacterial vaginosis (BV) is a prevalent vaginal condition among reproductive-age women, characterized by off-white, thin vaginal discharge with a fishy odor. It increases susceptibility to sexually transmitted diseases (STDs) and pelvic inflammatory disease (PID). BV involves a shift in vaginal microbiota, with reduced lactobacilli and increased anaerobic bacteria.

View Article and Find Full Text PDF
Article Synopsis
  • In-person interactions are crucial, but effectively identifying COVID-19 infections through screening can help ensure safety in schools and workplaces during outbreaks.
  • The study uses simulations to evaluate different screening strategies with antigen tests, focusing on how many infected individuals are detected based on factors such as test frequency and sensitivity.
  • Results indicate that early and frequent testing significantly improves infection detection rates, with high sensitivity tests yielding the best outcomes, ultimately supporting a safe return to in-person activities.
View Article and Find Full Text PDF

In this work we analytically investigate the alignment mechanism of self-propelled ellipse-shaped cells in two spatial dimensions interacting via overlap avoidance. By considering a two-cell system and imposing certain symmetries, we obtain an analytically tractable dynamical system, which we mathematically analyse in detail. We find that for elongated cells there is a half-stable steady state corresponding to perfect alignment between the cells.

View Article and Find Full Text PDF

Background: Because the occurrence of metabolic syndrome (MetS) might contribute to childhood cancer survivor's excess risk of cardiovascular disease, the authors assessed the prevalence and determinants of MetS in the Dutch Childhood Cancer Survivor Study (DCCSS-LATER2) cohort.

Methods: In total, 2338 adult childhood cancer survivors (CCS) were cross-sectionally assessed for the prevalence of MetS, using the Lifelines cohort (N = 132,226 adults without a history of cancer) as references. The prevalence of MetS was clinically assessed using existing classifications, as well as an alternative method using dual-energy x-ray absorptiometry fat% instead of waist circumference to define abdominal adiposity.

View Article and Find Full Text PDF

During embryogenesis, endothelial cells (ECs) are generally described to arise from a common pool of progenitors termed angioblasts, which diversify through iterative steps of differentiation to form functionally distinct subtypes of ECs. A key example is the formation of lymphatic ECs (LECs), which are thought to arise largely through transdifferentiation from venous endothelium. Opposing this model, here we show that the initial expansion of mammalian LECs is primarily driven by the in situ differentiation of mesenchymal progenitors and does not require transition through an intermediate venous state.

View Article and Find Full Text PDF

Background: Liquid biopsies offer less burdensome sensitive disease monitoring. Bone marrow (BM) metastases, common in various cancers including neuroblastoma, is associated with poor outcomes. In pediatric high-risk neuroblastoma most patients initially respond to treatment, but in the majority the disease recurs with only 40% long-term survivors, stressing the need for more sensitive detection of disseminated disease during therapy.

View Article and Find Full Text PDF

The impact of cognitive bias about infectious diseases on social well-being.

Front Epidemiol

December 2024

Mathematical Institute, Faculty of Mathematics & Natural Sciences, University of Koblenz, Koblenz, Germany.

Introduction: We investigate the relationship between bias, that is, cognitive distortions about the severity of infectious disease and social well-being.

Materials And Methods: First, we establish empirically the existence of bias and analyze some of its causes; specifically, during the COVID-19 pandemic. Second, we derive an integrated economic-epidemiological differential equation model from an agent-based model that combines myopic rational choice with infectious disease dynamics.

View Article and Find Full Text PDF

We consider the six-vertex model at its free-fermion point with domain wall boundary conditions, which is equivalent to random domino tilings of the Aztec diamond. We compute the scaling limit of a particular nonlocal correlation function, essentially equivalent to the partition function for the domino tilings of a pentagon-shaped domain, obtained by cutting away a triangular region from a corner of the initial Aztec diamond. We observe a third-order phase transition when the geometric parameters of the obtained pentagonal domain are tuned to have the fifth side exactly tangent to the arctic ellipse of the corresponding initial model.

View Article and Find Full Text PDF

Background: Clinical decision support systems (CDSSs) already support community pharmacists in conducting medication reviews (MRs) by identifying important information on interactions and suggesting clinical solutions. However, their impact in terms of quality and time savings is widely unexplored. The aim of our study was to investigate whether MRs are performed faster and better with or without using a CDSS.

View Article and Find Full Text PDF

The shape of skeletal muscle varies remarkably-with important implications for locomotor performance. In many muscles, the fibres are arranged at an angle relative to the tendons' line of action, termed the pennation angle. These pennate muscles allow more sarcomeres to be packed side by side, enabling the muscle to generate higher maximum forces for a given muscle size.

View Article and Find Full Text PDF

Background: Aedes aegypti spread pathogens affecting humans, including dengue, Zika, and yellow fever viruses. Anthropogenic climate change is altering the spatial distribution of Ae aegypti and therefore the locations at risk of vector-borne disease. In addition to climate change, natural climate variability, resulting from internal atmospheric processes and interactions between climate system components (eg, atmosphere-land and atmosphere-ocean interactions), determines climate outcomes.

View Article and Find Full Text PDF