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

Decay and Fission of Magnetic Quivers.

Phys Rev Lett

May 2024

Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG, United Kingdom.

In exploring supersymmetric theories with eight supercharges, the Higgs branches present an intriguing window into strong coupling dynamics. Magnetic quivers serve as crucial tools for understanding these branches. Here, we introduce the decay and fission algorithm for unitary magnetic quivers.

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The interface dynamics of a droplet impacting onto a liquid pool has been well studied, and the common interfacial velocity quantified for the cases when the pool is both the same and a different fluid to the impacting droplet. In this work we investigate, experimentally and computationally, the scenario of a droplet impacting onto a pool of the same fluid coated by a layer of another fluid with various thicknesses. The effect of the film thickness on the penetration velocity of the upper droplet-film interface is measured for experiments and simulations, and carefully compared to theoretical predictions for early-to-moderate timescales in the limiting cases of: (i) zero film thickness, in which the film has no effect and thus behaves like a fluid on same fluid impact, and (ii) infinite film thickness, in which the underlying pool has no effect.

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Through our respiratory system, many viruses and diseases frequently spread and pass from one person to another. Covid-19 served as an example of how crucial it is to track down and cut back on contacts to stop its spread. There is a clear gap in finding automatic methods that can detect hand-to-face contact in complex urban scenes or indoors.

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Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning.

Chaos

June 2024

Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands.

We study the interpersonal trust of a population of agents, asking whether chance may decide if a population ends up with high trust or low trust. We model this by a discrete time, stochastic coordination game with pairwise interactions occurring at random in a finite population. Agents learn about the behavior of the population using a weighted average of what they have observed in past interactions.

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Article Synopsis
  • Recent trials show that over 95% of kids with a specific type of leukemia called ETV6::RUNX1 Acute Lymphoblastic Leukemia (ALL) live for at least 5 years after treatment.
  • Scientists looked at different drug doses and their effects on patients from various studies to see how they compare and to better understand what treatment works best.
  • The results suggest that some patients could possibly receive less intensive treatment while still being treated effectively, so future research should explore the possibility of giving less medicine.
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Representations of imaginary scenes and their properties in cortical alpha activity.

Sci Rep

June 2024

Mathematical Institute, Department of Mathematics and Computer Science, Physics, Geography, Justus Liebig University Gießen, 35392, Gießen, Germany.

Imagining natural scenes enables us to engage with a myriad of simulated environments. How do our brains generate such complex mental images? Recent research suggests that cortical alpha activity carries information about individual objects during visual imagery. However, it remains unclear if more complex imagined contents such as natural scenes are similarly represented in alpha activity.

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Background: Understanding the risk factors leading to intracranial aneurysm (IA) rupture have still not been fully clarified. They are vital for proper medical guidance of patients harboring unruptured IAs. Clarifying the hemodynamics associated with the point of rupture could help could provide useful information about some of the risk factors.

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Background: Estimation of the SARS-CoV-2 incubation time distribution is hampered by incomplete data about infection. We discuss two biases that may result from incorrect handling of such data. Notified cases may recall recent exposures more precisely (differential recall).

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Outcome prediction in prolonged disorders of consciousness (DOC) remains challenging. This can result in either inappropriate withdrawal of treatment or unnecessary prolongation of treatment. Electroencephalography (EEG) is a cheap, portable, and non-invasive device with various opportunities for complex signal analysis.

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Sensitivity of cartilage mechanical behaviour to spatial variations in material properties.

J Mech Behav Biomed Mater

August 2024

Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, OX2 6GG, Oxford, United Kingdom. Electronic address:

Articular cartilage tissue exhibits a spatial dependence in material properties that govern mechanical behaviour. A mathematical model of cartilage tissue under one dimensional confined compression testing is developed for normal tissue that takes account of these variations in material properties. Modifications to the model representative of a selection of mechanisms driving osteoarthritic cartilage are proposed, allowing application of the model to both physiological and pathophysiological, osteoarthritic tissue.

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Article Synopsis
  • * It involved 100 athletes aged 10-15, half of whom experienced elbow pain while gripping, and measured thoracic kyphosis angles and pain levels using clinical tools.
  • * Results indicated those with early signs of LE had significantly different thoracic kyphosis angles compared to pain-free athletes, suggesting a connection between spinal posture and elbow pain.
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Weighting methods are widely used for causal effect estimation in non-randomised studies. In general, these methods use the propensity score (PS), the probability of receiving the treatment given the covariates, to arrive at the respective weights. All of these "modelling" methods actually optimize prediction of the respective outcome, which is, in the PS model, treatment assignment.

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The massive amount of human biological, imaging, and clinical data produced by multiple and diverse sources necessitates integrative modeling approaches able to summarize all this information into answers to specific clinical questions. In this paper, we present a hypermodeling scheme able to combine models of diverse cancer aspects regardless of their underlying method or scale. Describing tissue-scale cancer cell proliferation, biomechanical tumor growth, nutrient transport, genomic-scale aberrant cancer cell metabolism, and cell-signaling pathways that regulate the cellular response to therapy, the hypermodel integrates mutation, miRNA expression, imaging, and clinical data.

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A nonparametric proportional risk model to assess a treatment effect in time-to-event data.

Biom J

June 2024

Institute of Medical Statistics and Computational Biology (IMSB), Faculty of Medicine, University of Cologne, Cologne, Germany.

Time-to-event analysis often relies on prior parametric assumptions, or, if a semiparametric approach is chosen, Cox's model. This is inherently tied to the assumption of proportional hazards, with the analysis potentially invalidated if this assumption is not fulfilled. In addition, most interpretations focus on the hazard ratio, that is often misinterpreted as the relative risk (RR), the ratio of the cumulative distribution functions.

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Tracking pathogen transmissibility during infectious disease outbreaks is essential for assessing the effectiveness of public health measures and planning future control strategies. A key measure of transmissibility is the time-dependent reproduction number, which has been estimated in real-time during outbreaks of a range of pathogens from disease incidence time series data. While commonly used approaches for estimating the time-dependent reproduction number can be reliable when disease incidence is recorded frequently, such incidence data are often aggregated temporally (for example, numbers of cases may be reported weekly rather than daily).

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Article Synopsis
  • The article was updated on July 17, 2024, to correct authorship and acknowledge the affiliation of a new author, Edwin F. Dierselhuis, MD, PhD, with the Department of Orthopaedic Surgery in Nijmegen, Netherlands.
  • The study investigates mid-term complications and revision rates of periacetabular tumor reconstructions using the LUMiC prosthesis in patients who underwent specific types of hemipelvectomy from 2008 to 2022.
  • Data from 166 patients showed a significant reoperation rate, with 49% of patients undergoing additional surgeries for complications, indicating notable challenges in mid-term outcomes.
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Mean-field models are a class of models used in computational neuroscience to study the behavior of large populations of neurons. These models are based on the idea of representing the activity of a large number of neurons as the average behavior of mean-field variables. This abstraction allows the study of large-scale neural dynamics in a computationally efficient and mathematically tractable manner.

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A reactive neural network framework for water-loaded acidic zeolites.

Nat Commun

May 2024

Department of Physical and Macromolecular Chemistry, Faculty of Sciences, Charles University, Hlavova 8, 128 43, Prague 2, Czech Republic.

Under operating conditions, the dynamics of water and ions confined within protonic aluminosilicate zeolite micropores are responsible for many of their properties, including hydrothermal stability, acidity and catalytic activity. However, due to high computational cost, operando studies of acidic zeolites are currently rare and limited to specific cases and simplified models. In this work, we have developed a reactive neural network potential (NNP) attempting to cover the entire class of acidic zeolites, including the full range of experimentally relevant water concentrations and Si/Al ratios.

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Classification of anisotropic Triebel-Lizorkin spaces.

Math Ann

August 2023

Mathematical Institute for Machine Learning and Data Science (MIDS), Catholic University of Eichstätt-Ingolstadt (KU), Auf der Schanz 49, 85049 Ingolstadt, Germany.

This paper provides a characterization of expansive matrices generating the same anisotropic homogeneous Triebel-Lizorkin space for and . It is shown that if and only if the homogeneous quasi-norms associated to the matrices ,  are equivalent, except for the case with . The obtained results complement and extend the classification of anisotropic Hardy spaces , , in Bownik (Mem Am Math Soc 164(781):vi+122, 2003).

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Periodic patterning requires coordinated cell-cell interactions at the tissue level. Turing showed, using mathematical modeling, how spatial patterns could arise from the reactions of a diffusive activator-inhibitor pair in an initially homogeneous 2D field. Most activators and inhibitors studied in biological systems are proteins, and the roles of cell-cell interaction, ions, bioelectricity, etc.

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Dynamical systems on networks typically involve several dynamical processes evolving at different timescales. For instance, in Alzheimer's disease, the spread of toxic protein throughout the brain not only disrupts neuronal activity but is also influenced by neuronal activity itself, establishing a feedback loop between the fast neuronal activity and the slow protein spreading. Motivated by the case of Alzheimer's disease, we study the multiple-timescale dynamics of a heterodimer spreading process on an adaptive network of Kuramoto oscillators.

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Cell therapies are emerging as promising treatments for a range of liver diseases but translational bottlenecks still remain including: securing and assessing the safe and effective delivery of cells to the disease site; ensuring successful cell engraftment and function; and preventing immunogenic responses. Here we highlight three therapies, each utilising a different cell type, at different stages in their clinical translation journey: transplantation of multipotent mesenchymal stromal/signalling cells, hepatocytes and macrophages. To overcome bottlenecks impeding clinical progression, we advocate for wider use of mechanistic in silico modelling approaches.

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Purpose: Decision about the optimal timing of a treatment procedure in patients with hematologic neoplasms is critical, especially for cellular therapies (most including allogeneic hematopoietic stem-cell transplantation [HSCT]). In the absence of evidence from randomized trials, real-world observational data become beneficial to study the effect of the treatment timing. In this study, a framework to estimate the expected outcome after an intervention in a time-to-event scenario is developed, with the aim of optimizing the timing in a personalized manner.

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Article Synopsis
  • Allogeneic hematopoietic stem-cell transplantation is the only curative option for patients with myelodysplastic syndromes, and the timing of this treatment is crucial for maximizing benefits and minimizing risks.
  • A decision support system was developed to identify the optimal timing for HSCT based on clinical and genomic data from a large study of over 7,000 patients, comparing outcomes using the Molecular International Prognostic Scoring System (IPSS-M) against traditional scoring methods.
  • The findings suggest that patients with lower risk can benefit from delaying transplantation, while those at higher risk should undergo it immediately, indicating that the IPSS-M strategy significantly improves life expectancy and supports personalized treatment plans.
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  • Understanding how cells grow and move is essential for development and tissue upkeep, but the link between cell growth regulation and their migration behavior is still unclear.
  • This research introduces a simple mathematical model that connects cell movement with their growth stages, considering how crowded tissue affects these processes.
  • The findings reveal that cells adjust their growth based on local density during specific phases of their cycle, and this relationship aligns with experimental data, offering valuable insights into cell behavior in different environments.
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