A review of vasculogenesis models.
Modelling tumor progression, heterogeneity, and immune competition.
Mechanical aspects of growth in soft tissues
In the last years many efforts have been devoted to understand the stressmodulated growth of soft tissues. Recent theoretical achievements suggest that a component of the stress-growth coupling is tissue-independent and reads as an Eshelby-like tensor. In this paper we investigate the mathematical properties and the qualitative behavior predicted by equations that specialize that model under few simple assumptions. Equations strictly deduced from a dissipation principle are compared with heuristic...
La Matematica della Bicicletta
Andando in bicicletta, tanto maggiore è la velocità e tanto più facilmente si riesce a mantenere l'equilibrio. Questa semplice constatazione fa parte dell'esperienza comune, ma solo recentemente si è cercato di darne una spiegazione scientifica, mettendo a punto modelli matematici in grado di fornire anche delle relazioni quantitative. Con questo lavoro, utilizzando un modello costruito sulla base dei principi della meccanica classica, ci proponiamo di illustrare come sia possibile migliorare...
The role of Mechanics in Tumor growth : Modelling and Simulation
A number of biological phenomena are interlaced with classical mechanics. In this review are illustrated two examples from tumor growth, namely the formation of primordial networks of vessels (vasculogenesis) and the avascular phase of solid tumors. In both cases the formalism of continuum mechanics, accompanied by accurate numerical simulations, are able to shed light on biological controversies. The converse is also true: non-standard mechanical problems suggest new challenging mathematical questions....
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