2,371 results match your criteria: "Mathematical Institute[Affiliation]"

Background: Our aim is to investigate the association of treatment with survival in patients with diffuse intrinsic pontine glioma (DIPG) by examining 6 historical treatment paths.

Methods: We retrospectively analyzed data from 409 patients with radiologically centrally reviewed DIPG, sourced from the German Society of Pediatric Oncology and Hematology HIT-HGG trial database and the SIOPE-DIPG/DMG Registry. Survival outcomes were estimated using the Kaplan-Meier method, and univariable and multivariable Cox proportional hazard models were estimated to study treatment effects.

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Article Synopsis
  • B-cell-depletion with CD20 antibodies, specifically ocrelizumab (OCR) and ofatumumab (OFA), is an effective treatment for relapsing multiple sclerosis (RMS), but their comparative effectiveness in real-world settings was previously unknown.
  • A cohort study involving 1,138 RMS patients was conducted in Germany, using propensity-score matching to compare the outcomes of OCR and OFA treatment, focusing on clinical relapses, MRI lesion changes, and disability progression.
  • Results showed that OFA was non-inferior to OCR in overall effectiveness, but differences were noted in patients switching from other therapies, highlighting the need for more research on these specific cases.
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Ovarian follicular flushing as a means of increasing oocyte yield and embryo production in cattle.

Reprod Fertil Dev

November 2024

Women's Centre, John Radcliffe Hospital, Oxford University Hospitals, Headington OX3 9DU, UK; and Department of Obstetrics and Gynaecology, University of Melbourne, Parkville, Melbourne, Vic 3010, Australia.

Context The number of developmentally competent cumulus-oocyte complexes (COCs) retrieved during Ovum Pick-Up (OPU) determines success in both bovine and human assisted reproduction. Follicular flushing for COC retrieval is practicsed widely in humans but not in cattle. Aims To determine the benefits of follicular flushing in cattle and assess the merits of a novel 16G double-lumen needle ('OxIVF') that flushes laterally to the needle shaft.

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The time between symptom onset and various clinical outcomes: a statistical analysis of MERS-CoV patients in Saudi Arabia.

R Soc Open Sci

November 2024

The Zeeman Institute for Systems Biology and Infectious Disease Epidemiology Research, School of Life Sciences and Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK.

In this study, we investigate the impact of demographic characteristics on Middle East respiratory syndrome coronavirus (MERS-CoV) cases in Saudi Arabia, specifically focusing on the time intervals between symptom onset and key events such as hospitalization, case confirmation, reporting and death. We estimate these intervals using data from 2196 cases occurring between June 2012 and January 2020, partitioning the data into four age groups (0-24 years, 25-49 years, 50-74 years and 75-100 years). The duration from symptom onset to hospitalization varies between age cohorts, ranging from 4.

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Article Synopsis
  • Childhood cancer survivors (CCS) have a higher likelihood of developing dyslipidemia, which is a significant risk factor for heart disease, compared to adults without a cancer history.
  • A study analyzed data from 2,338 CCS and found various lipid abnormalities in the survivors, indicating a prevalence of issues like high triglycerides and low HDL cholesterol.
  • Factors influencing dyslipidemia in CCS included age, sex, BMI, physical activity, and treatment history, highlighting the need for tailored health monitoring for these individuals.
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Rapid modulation of striatal cholinergic interneurons and dopamine release by satellite astrocytes.

Nat Commun

November 2024

Centre for Cellular and Molecular Neurobiology, Department of Physiology, Anatomy and Genetics, University of Oxford, Oxford, OX1 3PT, UK.

Article Synopsis
  • Astrocytes play crucial and underestimated roles in modulating neuronal circuits, particularly in the striatum, where they regulate dopamine transmission and interact closely with cholinergic interneurons (ChIs).
  • The study reveals that striatal astrocytes rapidly excite ChIs and influence dopamine release through nicotinic acetylcholine receptors, operating on very fast timescales.
  • A unique anatomical configuration is observed, where ChI somata are closely located to astrocyte somata, allowing for a dynamic interaction that regulates ChI excitability and extracellular calcium, thus impacting overall striatal circuit activity and dopamine signaling.
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Unravelling the Holomorphic Twist: Central Charges.

Commun Math Phys

November 2024

Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter Woodstock Road, Oxford, OX2 6GG UK.

The holomorphic twist provides a powerful framework to study minimally protected sectors in supersymmetric quantum field theories. We investigate the algebraic structure underlying the holomorphic twist of superconformal field theories in four dimensions. In particular, in holomorphically twisted theories the flavour and conformal symmetry algebras are enhanced to infinite-dimensional higher Kac Moody and higher Virasoro symmetry algebras respectively.

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Noninvertible Symmetries, Anomalies, and Scattering Amplitudes.

Phys Rev Lett

November 2024

Department of Theoretical Physics, CERN, 1211 Meyrin, Switzerland.

We show that crossing symmetry of S matrices is modified in certain theories with noninvertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we find that S matrices derived previously from the bootstrap approach are incompatible with noninvertible symmetries along the flow. We present consistent alternatives, which, however, violate standard crossing symmetry and obey modified rules dictated by fusion categories.

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In this study, the hybrid conductance-based adaptive exponential integrate and fire (CadEx) neuron model is proposed to determine the effect of magnetic flux on conductance-based neurons. To begin with, bifurcation analysis is carried out in relation to the input current, resetting parameter, and adaptation time constant in order to comprehend dynamical transitions. We exemplify that the existence of period-1, period-2, and period-4 cycles depends on the magnitude of input current via period doubling and period halving bifurcations.

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Characterising Cancer Cell Responses to Cyclic Hypoxia Using Mathematical Modelling.

Bull Math Biol

November 2024

Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Rd, Oxford, OX2 6GG, UK.

In vivo observations show that oxygen levels in tumours can fluctuate on fast and slow timescales. As a result, cancer cells can be periodically exposed to pathologically low oxygen levels; a phenomenon known as cyclic hypoxia. Yet, little is known about the response and adaptation of cancer cells to cyclic, rather than, constant hypoxia.

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Porous ceramic composites play an important role in several applications. This is due to their unique properties resulting from a combination of various materials. Determination of the composite properties and structure is crucial for their further development and optimization.

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Distributed ledger technologies have opened up a wealth of fine-grained transaction data from cryptocurrencies like Bitcoin and Ethereum. This allows research into problems like anomaly detection, anti-money laundering, pattern mining and activity clustering (where data from traditional currencies is rarely available). The formalism of temporal networks offers a natural way of representing this data and offers access to a wealth of metrics and models.

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For , where are mutually independent fractional Brownian motions, we obtain the exact asymptotics of where is a non-singular matrix and , are such that there exists some such that

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Patterning of nonlocal transport models in biology: The impact of spatial dimension.

Math Biosci

October 2023

Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom. Electronic address:

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their awareness of other animals. Nonlocal integro-PDE models have been used to investigate contact attraction and repulsion in cell populations in 1D.

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Background: Children and young adults needing surgery for a primary malignant bone tumour around the knee face a difficult, life-changing decision. A previous study showed that this population wants to be involved more in the decision-making process and that more involvement leads to less decisional stress and regret. Therefore, a well-designed and standardized decision-making process based on the principles of shared decision-making needs to be designed, implemented, and evaluated.

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Categorical Landau Paradigm for Gapped Phases.

Phys Rev Lett

October 2024

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

We propose a unified framework to classify gapped infrared phases with categorical symmetries, leading to a generalized, categorical Landau paradigm. This is applicable in any dimension and gives a succinct, comprehensive, and computationally powerful approach to classifying gapped symmetric phases. The key tool is the symmetry topological field theory, which is a one dimension higher topological field theory with two boundaries that we choose to be topological.

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Article Synopsis
  • HIV-1 transmission typically starts with a single genetic variant in 75% of new infections, leading to a genetic bottleneck.
  • Studies on multiple variant infections suggest they might elevate viral load and speed up CD4 T cell decline, but results have been inconsistent.
  • Our analysis shows many studies lacked the statistical power to confirm these effects, and our models indicate that a faster CD4 decline isn't automatically linked to multiple variant infections without a clear cause-and-effect relationship.
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Due to the relatively advanced age and high mortality rate of patients with high-grade chondrosarcoma (CS), it is important to holistically assess patient- and tumor characteristics in multidisciplinary team and shared decision-making with regard to treatment options. While current prognostic models include multiple tumor and treatment characteristics, the only patient characteristics that are commonly included are age and gender. Based on clinical experience, we believe that factors related to patient preoperative systemic health status such as the American Society of Anesthesiologists (ASA) score may be equally important prognostic factors for overall survival (OS).

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Surrogate optimisation holds a big promise for building energy optimisation studies due to its goal to replace the use of lengthy building energy simulations within an optimisation step with expendable local surrogate models that can quickly predict simulation results. To be useful for such purpose, it should be possible to quickly train precise surrogate models from a small number of simulation results (10-100) obtained from appropriately sampled points in the desired part of the design space. Two sampling methods and two machine learning models are compared here.

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Convolution identities for divisor sums and modular forms.

Proc Natl Acad Sci U S A

October 2024

Mathematical Department, University of Lille, Villeneuve d'Ascq Cedex 59655, France.

We consider certain convolution sums that are the subject of a conjecture by Chester, Green, Pufu, Wang, and Wen in string theory. We prove a generalized form of their conjecture, explicitly evaluating absolutely convergent sums [Formula: see text]where [Formula: see text] is a Laurent polynomial with logarithms. Contrary to original expectations, such convolution sums, suitably extended to [Formula: see text], do not vanish, but instead, they carry number theoretic meaning in the form of Fourier coefficients of holomorphic cusp forms.

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Background & Aims: Smell and taste changes are frequently reported bothersome treatment symptoms during treatment for childhood cancer and assumed to influence outcomes such as food intake. Since nutritional status of children with cancer is already vulnerable, any detrimental effects on food intake should be prevented. Therefore, understanding the exact relationship between chemosensory changes and dietary intake, eating behavior, and other domains such as health-related quality of life (HRQoL), is important for improving outcomes.

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A Particle Method for the Multispecies Landau Equation.

Acta Appl Math

October 2024

Department of Applied Mathematics, University of Washington, Seattle, WA 98195 USA.

The multispecies Landau collision operator describes the two-particle, small scattering angle or grazing collisions in a plasma made up of different species of particles such as electrons and ions. Recently, a structure preserving deterministic particle method (Carrillo et al. in J.

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Translation regulation by RNA stem-loops can reduce gene expression noise.

BMC Bioinformatics

October 2024

Department of Electrical and Computer Engineering, University of Delaware, Newark, 19716, USA.

Background: Stochastic modelling plays a crucial role in comprehending the dynamics of intracellular events in various biochemical systems, including gene-expression models. Cell-to-cell variability arises from the stochasticity or noise in the levels of gene products such as messenger RNA (mRNA) and protein. The sources of noise can stem from different factors, including structural elements.

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The structure of a complex network plays a crucial role in determining its dynamical properties. In this paper , we show that the the degree to which a network is directed and hierarchically organized is closely associated with the degree to which its dynamics break detailed balance and produce entropy. We consider a range of dynamical processes and show how different directed network features affect their entropy production rate.

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Localization of the Free Energy in Supergravity.

Phys Rev Lett

October 2024

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

We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to D=4, N=2 gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as recovering some known results in the literature with ease, we also present new supergravity results that match with holographically dual field theory computations.

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