301 research outputs found

    Gaucher Disease and Myelofibrosis: A Combined Disease or a Misdiagnosis?

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    Background: Gaucher disease (GD) and primary myelofibrosis (PMF) share similar clinical and laboratory features, such as cytopenia, hepatosplenomegaly, and marrow fibrosis, often resulting in a misdiagnosis. Case Report: We report here the case of a young woman with hepatosplenomegaly, leukopenia, and thrombocytopenia. Based on bone marrow (BM) findings and on liver biopsy showing extramedullary hematopoiesis, an initial diagnosis of PMF was formulated. The patient refused stem cell transplantation from an HLA-identical sibling. Low-dose melphalan was given, without any improvement. Two years later, a BM evaluation showed Gaucher cells. Low glucocerebrosidase and high chitotriosidase levels were indicative for GD. Molecular analysis revealed N370S/complex I mutations. Enzyme replacement therapy with imiglucerase was commenced, resulting in clinical and hematological improvements. Due to an unexpected and persistent organomegaly, PMF combined with GD were suspected. JAK2V617F, JAK2 exon 12, MPL, calreticulin, and exon 9 mutations were negative, and BM examination showed no marrow fibrosis. PMF was excluded. Twenty years after starting treatment, the peripheral cell count and liver size were normal, whereas splenomegaly persisted. Conclusion: In order to avoid a misdiagnosis, a diagnostic algorithm for patients with hepatosplenomegaly combined with cytopenia is suggested

    A renormalisation approach to excitable reaction-diffusion waves in fractal media

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    Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice

    Dynamical features of reaction-diffusion fronts in fractals

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    The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration

    Critical dimensions for random walks on random-walk chains

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    The probability distribution of random walks on linear structures generated by random walks in dd-dimensional space, Pd(r,t)P_d(r,t), is analytically studied for the case ξr/t1/41\xi\equiv r/t^{1/4}\ll1. It is shown to obey the scaling form Pd(r,t)=ρ(r)t1/2ξ2fd(ξ)P_d(r,t)=\rho(r) t^{-1/2} \xi^{-2} f_d(\xi), where ρ(r)r2d\rho(r)\sim r^{2-d} is the density of the chain. Expanding fd(ξ)f_d(\xi) in powers of ξ\xi, we find that there exists an infinite hierarchy of critical dimensions, dc=2,6,10,d_c=2,6,10,\ldots, each one characterized by a logarithmic correction in fd(ξ)f_d(\xi). Namely, for d=2d=2, f2(ξ)a2ξ2lnξ+b2ξ2f_2(\xi)\simeq a_2\xi^2\ln\xi+b_2\xi^2; for 3d53\le d\le 5, fd(ξ)adξ2+bdξdf_d(\xi)\simeq a_d\xi^2+b_d\xi^d; for d=6d=6, f6(ξ)a6ξ2+b6ξ6lnξf_6(\xi)\simeq a_6\xi^2+b_6\xi^6\ln\xi; for 7d97\le d\le 9, fd(ξ)adξ2+bdξ6+cdξdf_d(\xi)\simeq a_d\xi^2+b_d\xi^6+c_d\xi^d; for d=10d=10, f10(ξ)a10ξ2+b10ξ6+c10ξ10lnξf_{10}(\xi)\simeq a_{10}\xi^2+b_{10}\xi^6+c_{10}\xi^{10}\ln\xi, {\it etc.\/} In particular, for d=2d=2, this implies that the temporal dependence of the probability density of being close to the origin Q2(r,t)P2(r,t)/ρ(r)t1/2lntQ_2(r,t)\equiv P_2(r,t)/\rho(r)\simeq t^{-1/2}\ln t.Comment: LATeX, 10 pages, no figures submitted for publication in PR

    The structure of flame filaments in chaotic flows

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    The structure of flame filaments resulting from chaotic mixing within a combustion reaction is considered. The transverse profile of the filaments is investigated numerically and analytically based on a one-dimensional model that represents the effect of stirring as a convergent flow. The dependence of the steady solutions on the Damkohler number and Lewis number is treated in detail. It is found that, below a critical Damkohler number Da(crit), the flame is quenched by the flow. The quenching transition appears as a result of a saddle-node bifurcation where the stable steady filament solution collides with an unstable one. The shape of the steady solutions for the concentration and temperature profiles changes with the Lewis number and the value of Da(crit) increases monotonically with the Lewis number. Properties of the solutions are studied analytically in the limit of large Damkohler number and for small and large Lewis number.Comment: 17 pages, 13 figures, to be published in Physica

    Myers' type theorems and some related oscillation results

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    In this paper we study the behavior of solutions of a second order differential equation. The existence of a zero and its localization allow us to get some compactness results. In particular we obtain a Myers' type theorem even in the presence of an amount of negative curvature. The technique we use also applies to the study of spectral properties of Schroedinger operators on complete manifolds.Comment: 16 page
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