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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 Central Limit Theorem for inner functions 

    Nicolau, A.; Soler i Gibert, O. (2022-06-04)

    A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures. © 2022 The Authors

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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 complementary energy approach accommodates scale differences in soft tissues 

    Saez, P.; Eppell, S.J.; Ballarini, R.; Rodriguez Matas, J.F. (2020-02-08)

    The mechanics of biological entities, from single molecules to the whole organ, has been extensively analyzed during the last decades. At the smaller scales, statistical mechanics has fostered successful physical models ...

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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 CORRESPONDENCE BETWEEN SURJECTIVE LOCAL HOMEOMORPHISMS AND A FAMILY OF SEPARATED GRAPHS 

    Ara, P.; Claramunt, J. (2024-05-01)

    We present a graph-theoretic model for dynamical systems (X, σ) given by a surjective local homeomorphism σ on a totally disconnected compact metrizable space X. In order to make the dynamics appear explicitly in the graph, ...

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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 fractional Michael–Simon Sobolev inequality on convex hypersurfaces 

    Cabré, Xavier; Cozzi, Matteo; Csató, Gyula (2022-06-24)

    The classical Michael–Simon and Allard inequality is a Sobolev inequality for functions defined on a submanifold of Euclidean space. It is governed by a universal constant independent of the manifold, thanks to an additional ...

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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 Exploration of SDH-b Loss in Chromaffin Cells 

    Vera-Sigüenza, E.; Rana, H.; Nashebi, R.; Cloete, Ielyaas; Kl’uvčková, K.; Tennant, D. A. (2025-03-13)

    The succinate dehydrogenase (SDH) is a four-subunit enzyme complex (SDH-a, SDH-b, SDH-c, and SDH-d) central to cell carbon metabolism. The SDH bridges the tricarboxylic acid cycle to the electron transport chain. A ...

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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 for the energy stored in green roofs 

    Aguareles, M.; Calvo-Schwarzwalder, M.; Font, F.; Myers, T.G. (2022-10-27)

    A simple mathematical model to estimate the energy stored in a green roof is developed. Analytical solutions are derived corresponding to extensive (shallow) and intensive (deep) substrates. Results are presented for the ...

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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 ...