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7 papers · 1 filter
A New Geometric Proposal for the Hamiltonian Description of Classical Field Theories
Mauro Francaviglia, Marcella Palese, Ekkehart Winterroth
We consider the geometric formulation of the Hamiltonian formalism for field theory in terms of {\em Hamiltonian connections} and {\em multisymplectic forms}. In this framework the…
Global Generalized Bianchi Identities for Invariant Variational Problems on Gauge-natural Bundles
M. Palese, E. Winterroth
We derive both {\em local} and {\em global} generalized {\em Bianchi identities} for classical Lagrangian field theories on gauge-natural bundles. We show that globally defined gen…
Fibrations et conjecture de Tate
Marc Hindry, Amilcar Pacheco, Rania Wazir
We describe the behaviour of the rank of the Mordell-Weil group of the Picard variety of the generic fibre of a fibration in terms of local contributions given by averaging traces…
Insights from a Novel Tumor Model: Indications for a Quantitative Link between Tumor Growth and Invasion
Thomas S. Deisboeck, Yuri Mansury, Caterina Guiot +2
Using our previously developed model we demonstrate here, that (1) solid tumor growth and cell invasion are linked, not only qualitatively but also quantitatively, that (2) the ons…
The many levels pairing Hamiltonian for two pairs
M. B. Barbaro, R. Cenni, A. Molinari +1
We address the problem of two pairs of fermions living on an arbitrary number of single particle levels of a potential well (mean field) and interacting through a pairing force. Th…
Does tumor growth follow a 'universal law'?
caterina Guiot, Piero Giorgio Degiorgis, Pier Paolo Delsanto +2
A general model for the ontogenetic growth of living organisms has been recently proposed. Here we investigate the extension of this model to the growth of solid malignant tumors.…