Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Nonlinear stability of a heterogeneous state in a PDE- ODE model for acid-mediated tumor invasion.
Year:2016
Research Areas
  • Physics chemical and mathematical
Information
Abstract
We study a general reaction-diffusion model for acid-mediated tumor invasion, where tumor cells produce excess acid that primarily kills healthy cells, and thereby invade the microenvironment. Under appropriate assumptions on model parameters and on initial data, it is shown that the unique heterogeneous state is nonlinearly stable, which implies a long-term coexistence of the healthy and tumor cells in certain parameter space. Our theoretical result suggests that acidity may play a significant role in heterogeneous tumor progression.
International
Si
JCR
Si
Title
Mathematical Biosciences and Engineering
ISBN
1547-1063
Impact factor JCR
Impact info
Volume
13
10.3934/mbe.2016.13.193.
Journal number
1
From page
193
To page
207
Month
FEBRERO
Ranking
Participants
  • Autor: Jose Ignacio Tello Del Castillo (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Modelos Matemáticos no Lineales
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)