71 research outputs found
Bose-Einstein condensation in random directed networks
We consider the phenomenon of Bose-Einstein condensation in a random growing directed net-
work. The network grows by the addition of vertices and edges. At each time step the network
gains a vertex with probabilty p and an edge with probability 1 − p. The new vertex has a fitness
(a, b) with probability f(a, b). A vertex with fitness (a, b), in-degree i and out-degree j gains a new incoming edge with rate a(i + 1) and an outgoing edge with rate b(j + 1). The Bose-Einstein condensation occurs as a function of fitness distribution f(a, b)
Tsallis entropy approach to radiotherapy treatments
The biological effect of one single radiation dose on a living tissue has
been described by several radiobiological models. However, the fractionated
radiotherapy requires to account for a new magnitude: time. In this paper we
explore the biological consequences posed by the mathematical prolongation of a
model to fractionated treatment. Nonextensive composition rules are introduced
to obtain the survival fraction and equivalent physical dose in terms of a time
dependent factor describing the tissue trend towards recovering its
radioresistance (a kind of repair coefficient). Interesting (known and new)
behaviors are described regarding the effectiveness of the treatment which is
shown to be fundamentally bound to this factor. The continuous limit,
applicable to brachytherapy, is also analyzed in the framework of nonextensive
calculus. Also here a coefficient arises that rules the time behavior. All the
results are discussed in terms of the clinical evidence and their major
implications are highlighted.Comment: 6 figures, accepted for publication to Physica
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