Multiphase modeling and qualitative analysis of the growth of tumor cords (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• Multiphase modeling and qualitative analysis of the growth of tumor cords (Articolo in rivista) (literal)

Anno

• 2008-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.3934/nhm.2008.3.43 (literal)

Alternative label

• Tosin, Andrea (2008)
  Multiphase modeling and qualitative analysis of the growth of tumor cords
  in Networks and heterogeneous media
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Tosin, Andrea (literal)

Pagina inizio

• 43 (literal)

Pagina fine

• 83 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 3 (literal)

Rivista

• Networks and heterogeneous media (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

• 41 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 1 (literal)

Note

• ISI Web of Science (WOS) (literal)
• Scopu (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino (literal)

Titolo

• Multiphase modeling and qualitative analysis of the growth of tumor cords (literal)

Abstract

• In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical theory of deformable porous media. Tumor is modeled as a saturated mixture of proliferating cells, extracellular fluid and extracellular matrix, that occupies a spatial region close to a blood vessel whence cells get the nutrient needed for their vital functions. Growth of tumor cells takes place within a healthy host tissue, which is in turn modeled as a saturated mixture of non-proliferating cells. Interactions between these two regions are accounted for as an essential mechanism for the growth of the tumor mass. By weakening the role of the extracellular matrix, which is regarded as a rigid non-remodeling scaffold, a system of two partial differential equations is derived, describing the evolution of the cell volume ratio coupled to the dynamics of the nutrient, whose higher and lower concentration levels determine proliferation or death of tumor cells, respectively. Numerical simulations of a reference two-dimensional problem are shown and commented, and a qualitative mathematical analysis of some of its key issues is proposed. © American Institute of Mathematical Sciences. (literal)

Prodotto di

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Trasmissione di segnali intracellulari (INT.P02.004.002) (Modulo)

Autore CNR

• ANDREA TOSIN (Unità di personale interno)

Insieme di parole chiave

• Parole chiave di "Multiphase modeling and qualitative analysis of the growth of tumor cords" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Trasmissione di segnali intracellulari (INT.P02.004.002) (Modulo)

Autore CNR di

• ANDREA TOSIN (Unità di personale interno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Networks and heterogeneous media (Rivista)

Insieme di parole chiave di

• Parole chiave di "Multiphase modeling and qualitative analysis of the growth of tumor cords" (Insieme di parole chiave)