Modelling cell populations with spatial structure: steady state and treatment-induced evolution of tumour cords (Articolo in rivista)

Type
Label
  • Modelling cell populations with spatial structure: steady state and treatment-induced evolution of tumour cords (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.3934/dcdsb.2004.4.161 (literal)
Alternative label
  • Alessandro Bertuzzi (a); Alberto d'Onofrio (a, b); Alberto d'Onofrio (c); Alberto Gandolfi (a) (2004)
    Modelling cell populations with spatial structure: steady state and treatment-induced evolution of tumour cords
    in Discrete and continuous dynamical systems. Series B (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Alessandro Bertuzzi (a); Alberto d'Onofrio (a, b); Alberto d'Onofrio (c); Alberto Gandolfi (a) (literal)
Pagina inizio
  • 161 (literal)
Pagina fine
  • 186 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 4 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • a. Istituto di Analisi dei Sistemi ed Informatica \"A. Ruberti\" - CNR b. European Institute of Oncology - Division of Epidemiology and Biostatistics c. Dipartimento di Matematica \"Ulisse Dini\" - Università degli studi di Firenze (literal)
Titolo
  • Modelling cell populations with spatial structure: steady state and treatment-induced evolution of tumour cords (literal)
Abstract
  • Tumour cells growing around blood vessels form structures called tumour cords. We review some mathematical models that have been proposed to describe the stationary state of the cord and the cord evolution after single-dose cell killing treatment. Whereas the cell population has been represented with age or maturity structure to describe the cord stationary state, for the response to treatment a simpler approach was followed, by representing the cell population by means of the cell volume fractions. In this latter model, where transport of oxygen is included and its concentration is critical for cell viability, some constraints to be imposed on the interface separating the tumour from the necrotic region have a crucial role. An analysis of experimental data from untreated tumour cords, which involves modelling by cell age and by volume fractions, and some results about the cord response to impulsive cell killing, are also presented. (literal)
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