0000000001056062
AUTHOR
M. Pedroni
Italian cancer figures, report 2014: Prevalence and cure of cancer in Italy
This Report intends to estimate the total number of people still alive in 2010 after cancer diagnosis in Italy, regardless of the time since diagnosis, and to project these estimates to 2015. This study is also aimed to estimate the number of already cured cancer patients, whose mortality rates have become undistinguishable from that of the general population of the same age and sex.The study took advantage of the information from the AIRTUM database, which included 29 Cancer Registries (covering 21 million people, 35% of the Italian population). A total of 1,624,533 cancer cases diagnosed between 1976 and 2009 contributed to the study. For each registry, the observed prevalence was calcula…
The bi-Hamiltonian theory of the Harry Dym equation
We describe how the Harry Dym equation fits into the the bi-Hamiltonian formalism for the Korteweg-de Vries equation and other soliton equations. This is achieved using a certain Poisson pencil constructed from two compatible Poisson structures. We obtain an analogue of the Kadomtsev-Petviashivili hierarchy whose reduction leads to the Harry Dym hierarchy. We call such a system the HD-KP hierarchy. We then construct an infinite system of ordinary differential equations (in infinitely many variables) that is equivalent to the HD-KP hierarchy. Its role is analogous to the role of the Central System in the Kadomtsev-Petviashivili hierarchy.