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Modelli matematici a sostegno della ricerca contro il cancro

L. Preziosi — 2005

Bollettino dell'Unione Matematica Italiana

Questo articolo, a prevalente carattere di rassegna, ha lo scopo di presentare gli ambiti matematici e gli approcci metodologici utilizzati nello sviluppo di modelli matematici a sostegno della ricerca contro il cancro. La necessità di un approccio interdisciplinare e multiscala è messo in evidenza. Infine, alcuni modelli operanti alla scala macroscopica e mesoscopica sono presentati a titolo di esempio.

A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts

M. SciannaL. Preziosi — 2012

Mathematical Modelling of Natural Phenomena

The invasive capability is fundamental in determining the malignancy of a solid tumor. Revealing biomedical strategies that are able to partially decrease cancer invasiveness is therefore an important approach in the treatment of the disease and has given rise to multiple and models. We here develop a hybrid computational framework, whose aim is to characterize the effects of the different cellular and subcellular mechanisms involved in the invasion...

Multiphase and Multiscale Trends in Cancer Modelling

L. PreziosiA. Tosin — 2009

Mathematical Modelling of Natural Phenomena

While drawing a link between the papers contained in this issue and those present in a previous one (Vol. 2, Issue 3), this introductory article aims at putting in evidence some trends and challenges on cancer modelling, especially related to the development of multiphase and multiscale models.

Individual Cell-Based Model for In-Vitro Mesothelial Invasion of Ovarian Cancer

C. GiversoM. SciannaL. PreziosiN. Lo BuonoA. Funaro — 2010

Mathematical Modelling of Natural Phenomena

In vitro transmesothelial migration assays of ovarian cancer cells, isolated or aggregated in multicellular spheroids, are reproduced deducing suitable Cellular Potts Models (CPM). We show that the simulations are in good agreement with the experimental evidence and that the overall process is regulated by the activity of matrix metalloproteinases (MMPs) and by the interplay of the adhesive properties of the cells with the extracellular matrix and...

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