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General relativity considers Dixons theory as the standard theory to deal
with the motion of extended bodies in a given gravitational background. We discuss
here the features of the reaction of an extended body to the passage of a weak
gravitational wave. We find that the body acquires a dipolar… |
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In this note, we consider generalizations of the Cucker-Smale dynamical system and we derive rigorously in Wasserstein's type topologies the mean-field limit (and propagation of chaos) to the Vlasov-type equation introduced in [13]. Unlike previous results on the Cucker-Smale model, our approach is… |
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Background: The growth arrest-specific transcript 5 gene (GAS5) encodes a long noncoding RNA (lncRNA) and hosts a number of small nucleolar RNAs (snoRNAs) that have recently been implicated in multiple cellular processes and cancer. Here, we investigate the relationship between DNA damage, p53, and… |
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Consider a dynamic general relativistic spacetime in which the proper infinitesimal interval along one spatial coordinate direction decreases monotonically with time, while the corresponding intervals increase along other spatial directions. In a system undergoing such complete anisotropic collapse… |
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Degeneration is a hallmark of autoimmune diseases, whose incidence grows worldwide. Current
therapies attempt to control the immune response to limit degeneration, commonly promoting
immunodepression. Differently, mechanical stimulation is known to trigger healing (regeneration) and
it has recently… |
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Given a simple undirected graph G and a positive integer s, the maximum vertex coverage problem (MVC) is the problem of finding a set U of s vertices of G such that the number of edges having at least one endpoint in U is as large as possible. The problem is NP-hard even in bipartite graphs, as… |
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We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences. The results are then used to analyse the numerical stability of some classes of… |
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The biclustering method can be a very useful analysis tool when some genes have multiple functions and experimental conditions are diverse in gene expression measurement. This is because the biclustering approach, in contrast to the conventional clustering techniques, focuses on finding a subset of… |
