A free boundary problem arising in a simplified tumour growth model of contact inhibition (Articolo in rivista)

Type
Label
  • A free boundary problem arising in a simplified tumour growth model of contact inhibition (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.4171/IFB/233 (literal)
Alternative label
  • Bertsch M.; Dal Passo R.; Mimura M. (2010)
    A free boundary problem arising in a simplified tumour growth model of contact inhibition
    in Interfaces and free boundaries (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bertsch M.; Dal Passo R.; Mimura M. (literal)
Pagina inizio
  • 235 (literal)
Pagina fine
  • 250 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 12 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 16 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • Mathematical Reviews on the web (MathSciNet (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • IAC-CNR (Bertsch); Univ. di Roma Tor Vergata (Bertsch, Dal Passo); Meiji University, Tokyo (Mimura). (literal)
Titolo
  • A free boundary problem arising in a simplified tumour growth model of contact inhibition (literal)
Abstract
  • It is observed in vitro and in vivo that when two populations of different types of cells come near to each other, the rate of proliferation of most cells decreases. This phenomenon is often called contact inhibition of growth between two cells. In this paper, we consider a simplified 1-dimensional PDE-model for normal and abnormal cells, motivated by a paper of Chaplain, Graziano and Preziosi. We show that if the two populations are initially segregated, then they remain segregated due to the contact inhibition mechanism. In this case the system of PDE's can be formulated as a free boundary problem. (literal)
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