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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
2/2005

Two scale hydrodynamic limit for a model of malignant tumor cells

Anna De Masi, Stephan Luckhaus and Errico Presutti

Abstract

We look at a lattice model introduced by Luckhaus and Triolo for competition beetween normal and malignant cells.Malignant cells are diffusing fast whereas normal cells move on a slower scale and obey an exclusion rule.The difference in time scales allows to derive a two scale hydrodynamic limit.A key ingredient of the proof is to reproduce the parabolic a priori estimates on the level of generators of the stochastic process.

Received:
Jan 5, 2005
Published:
Jan 5, 2005
MSC Codes:
60K35, 35K57
PACS:
63
Keywords:
two scale hydodynamic limit limit, exclusion process

Related publications

inJournal
2007 Repository Open Access
Anna De Masi, Stephan Luckhaus and Errico Presutti

Two scale hydrodynamic limit for a model of malignant tumor cells

In: Annales de l'Institut Henri Poincaré / B, 43 (2007) 3, pp. 257-297