495 research outputs found

    From Canvas to Music: Mathematics as a Tool for the Composition of Jackson Time

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    The creation of ``Jackson time'' is a project which involves a composer, Davide Amodio, and a mathematician, Chiara de Fabritiis. Our common aim was to to ``translate'' a painting by Jackson Pollock, Summertime n. 9, into a piece of music, making use of different mathematical tools to detect the quantities needed for the composition. We were inspired by the idea that the painting itself contained some kind of inner--music, due to the fact that Pollock's moves during the dripping on the canvas had a sort of rhythm, indeed they were often described by witnesses as a dance. This paper describes the mathematical background, in particular it illustrates both the analysis of the painting which was carried out by the two of us and the choice of the mathematical techniques applied to compute the parameters needed for the composition, which is due to the author. The reader will find a more detailed report on the composition itself in Davide Amodio's contribution

    Cell-Based Treatment in Acute Myeloid Leukemia Relapsed after Allogeneic Stem Cell Transplantation

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    Allogeneic stem cell transplant (ASCT) remains the only treatment option for patients with high-risk acute myeloid leukemia (AML). Recurrence of leukemic cells after ASCT represents a dramatic event associated with a dismal outcome, with a 2-year survival rate of around 20%. Adoptive cell therapy (ACT) is a form of cell-based strategy that has emerged as an effective therapy to treat and prevent post-ASCT recurrence. Lymphocytes are the principal cells used in this therapy and can be derived from a hematopoietic stem cell donor, the patient themselves, or healthy donors, after being engineered to express the chimeric antigen receptor (CAR-T and UniCAR-T). In this review, we discuss recent advances in the established strategy of donor lymphocyte infusion (DLI) and the progress and challenges of CAR-T cells

    Geometry of Interactions in Complex Bodies

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    We analyze geometrical structures necessary to represent bulk and surface interactions of standard and substructural nature in complex bodies. Our attention is mainly focused on the influence of diffuse interfaces on sharp discontinuity surfaces. In analyzing this phenomenon, we prove the covariance of surface balances of standard and substructural interactions

    Transcendental operators acting on slice regular functions

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    The aim of this paper is to carry out an analysis of five trascendental operators acting on the space of slice regular functions, namely ∗-exponential, ∗-sine and ∗-cosine and their hyperbolic analogues. The first three of them were introduced by Colombo, Sabadini and Struppa and some features of ∗-exponential were investigated in a previous paper by Altavilla and the author. We show how exp∗(f), sin∗(f), cos∗(f), sinh∗(f) and cosh∗(f) can be written in terms of the real and the vector part of the function f and we examine the relation between cos∗ and cosh∗ when the domain ω is product and when it is slice. In particular we prove that when ω is slice, then cos∗(f) = cosh∗(f ∗ I) holds if and only if f is CI preserving, while in the case ω is product there is a much larger family of slice regular functions for which the above relation holds
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