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    3D Hybrid Modelling of Vascular Network Formation 

    Perfahl, H.; Hughes, B.D.; Alarcon, T.; Maini, P.K.; Lloyd, M.C.; Reuss, M.; Byrne, H. (2017-01-01)

    We develop an off-lattice, agent-based model to describe vasculogenesis, the de novo formation of blood vessels from endothelial progenitor cells during development. The endothelial cells that comprise our vessel network ...

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    A b-symplectic slice theorem 

    Braddell, R.; Kiesenhofer, A.; Miranda, E. (2022-08-03)

    In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we ...

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    A bivariant theory for the Cuntz semigroup 

    Bosa, J.; Tornetta, G.; Zacharias, J. (2019-01-01)

    We introduce a bivariant version of the Cuntz semigroup as equivalence classes of order zero maps generalizing the ordinary Cuntz semigroup. The theory has many features formally analogous to KK-theory including a composition ...

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    A black swan and canard cascades in an SIR infectious disease model 

    Korobeinikov, A.; Shchepakina, E.; Sobolev, V. (2020-01-01)

    Models of the spread of infectious diseases commonly have to deal with the problem of multiple timescales which naturally occur in the epidemic models. In the most cases, this problem is implicitly avoided with the use of ...

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    A characterization of 1-rectifiable doubling measures with connected supports 

    Azzam, J.; Mourgoglou, M. (2016-01-01)

    Garnett, Killip, and Schul have exhibited a doubling measure μ with support equal to Rd that is 1- rectifiable, meaning there are countably many curves Γi of finite length for which μ(Rd\υΓi) = 0. In this note, we characterize ...

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    A complex view of perceived job insecurity: Relationship between three domains and their respective cognitive and affective components 

    Salas-Nicás, S.; Moncada, S.; Llorens, C.; Moriña, D.; Navarro, A. (2020-05-11)

    he aim of this paper is to examine the relationships between three domains of job insecurity, namely job loss insecurity, insecurity regarding working conditions and labor market insecurity, taking into account both their ...

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    A continuous phenotype space model of RNA virus evolution within a host 

    Dempsey, C.; Korobeinikov, A. (2014-01-01)

    Due to their very high replication and mutation rates, RNA viruses can serve as an excellent testing model for verifying hypothesis and addressing questions in evolutionary biology. In this paper, we suggest a simple ...

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    A counterexample to the singular Weinstein conjecture 

    Fontana-McNally, J.; Miranda, E.; Oms, C.; Peralta-Salas, D. (2024-12-01)

    In this article, we study the dynamical properties of Reeb vector fields on b- contact manifolds. We show that in dimension 3, the number of so-called singular periodic orbits can be prescribed. These constructions illuminate ...

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    A criterion for the holomorphy of the curvature of smooth planar webs and applications to dual webs of homogeneous foliations on PC2 

    Bedrouni, S.; Marin, D. (2024-09-01)

    Let d >= 3 be an integer. For a holomorphic d-web W on a complex surface M, smooth along an irreducible component D of its discriminant Delta(W), we establish an effective criterion for the holomorphy of the curvature of ...

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    A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP 

    Jorba, A.; Nicolás, B.; Rodríguez, O. (2024-12-03)

    The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper, we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there ...

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    A family of singular integral operators which control the Cauchy transform 

    Chunaev, P.; Mateu, J.; Tolsa, X. (2019-05-14)

    We study the behaviour of singular integral operators 𝑇𝑘𝑡 of convolution type on ℂ associated with the parametric kernels 𝑘𝑡(𝑧):=(𝖱𝖾𝑧)3|𝑧|4+𝑡⋅𝖱𝖾𝑧|𝑧|2,𝑡∈ℝ,𝑘∞(𝑧):=𝖱𝖾𝑧|𝑧|2≡𝖱𝖾1𝑧,𝑧∈ℂ∖{0}. It is shown ...

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    A highly efficient pricing method for European-style options based on Shannon wavelets 

    Ortiz-Gracia, L.; Oosterlee, C.W. (2017-01-01)

    In the search for robust, accurate and highly efficient financial option valuation techniques, we present here the SWIFT method (Shannon Wavelets Inverse Fourier Technique), based on Shannon wavelets. SWIFT comes with ...

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    A mathematical model for nanoparticle melting with size-dependent latent heat and melt temperature 

    Ribera, H.; Myers, T.G. (2016-01-01)

    In this paper, we study the melting of a spherical nanoparticle. The model differs from previous ones in that a number of features have been incorporated to match experimental observations. These include the size dependence ...

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    A mathematical model of marine bacteriophage evolution 

    Pagliarini, S.; Korobeinikov, A. (2018-01-01)

    To explore how particularities of a host cell–virus system, and in particular host cell replication, affect viral evolution, in this paper we formulate a mathematical model of marine bacteriophage evolution. The intrinsic ...

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    A multiscale model of epigenetic heterogeneity-driven cell fate decision-making 

    Folguera-Blasco, Núria; Pérez-Carrasco, Rubén; Cuyàs, Elisabet; Menendez, Javier A.; Alarcón, Tomàs (2019-04-01)

    Author summary Certain modifications of the structure and functioning of the protein/DNA complex called chromatin can allow adult, fully differentiated, cells to adopt a stem cell-like pluripotent state in a purely epigenetic ...

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    A multiscale model of epigenetic heterogeneity-driven cell fate decisionmaking 

    Folguera-Blasco, N.; Pérez-Carrasco, R.; Cuyàs, E.; Menendez, J.A.; Alarcón, T. (2019-01-01)

    The inherent capacity of somatic cells to switch their phenotypic status in response to damage stimuli in vivo might have a pivotal role in ageing and cancer. However, how the entryexit mechanisms of phenotype reprogramming ...

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    A new approach for sizing trials with composite binary endpoints using anticipated marginal values and accounting for the correlation between components 

    Bofill Roig, Marta; Gómez Melis, Guadalupe (2019-01-01)

    Composite binary endpoints are increasingly used as primary endpoints in clinical trials. When designing a trial, it is crucial to determine the appropriate sample size for testing the statistical differences between ...

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    A new class of polynomials from the spectrum of a graph, and its application to bound the k-independence number 

    Fiol, M.A. (2020-07-10)

    The k-independence number of a graph is the maximum size of a set of vertices at pairwise distance greater than k. A graph is called k-partially walk-regular if the number of closed walks of a given length l ≤ k, rooted ...

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    A new proof of the classification of convex foliations of degree two on the complex projective plane [Une nouvelle démonstration de la classification des feuilletages convexes de degré deux sur P2C] 

    Bedrouni, S.; Marín, D. (2019-09-04)

    A holomorphic foliation on P2C, or a real analytic foliation on P2R, is said to be convex if its leaves other than straight lines have no inflection points. The classification of the convex foliations of degree 2 on P2C ...

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    A Non-Parametric Estimation Method of the PopulationSize in Capture-Recapture Experiments With RightCensored Data 

    Blasco-Moreno, A.; Puig, P. (2025-04-02)

    We present a new non-parametric approach for estimating the total number of animals or species when we only have information on the number of animals or species that have been observed once, twice, (Formula presented.), ...