A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes

Dyson, J., Villella-Bressan, R., and Webb, G.. "A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes." Mathematical Modelling of Natural Phenomena 2.3 (2010): 69-100. <http://eudml.org/doc/222276>.

@article{Dyson2010,
abstract = { A model of tumor growth in a spatial environment is analyzed. The model includes proliferating and quiescent compartments of tumor cells indexed by successively mutated cell phenotypes of increasingly proliferative aggressiveness. The model incorporates spatial dependence due to both random motility and directed movement haptotaxis. The model structures tumor cells by both cell age and cell size. The model consists of a system of nonlinear partial differential equations for the compartments of tumor cells, extracellular matrix, matrix degradative enzyme, and oxygen. The existence, uniqueness, positivity, regularity, and growth characteristics of the solutions are investigated.},
author = {Dyson, J., Villella-Bressan, R., Webb, G.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {tumor growth; haptotaxis; analytic semigroups; nonlinear partial differential equations},
language = {eng},
month = {3},
number = {3},
pages = {69-100},
publisher = {EDP Sciences},
title = {A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes},
url = {http://eudml.org/doc/222276},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Dyson, J.
AU - Villella-Bressan, R.
AU - Webb, G.
TI - A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 2
IS - 3
SP - 69
EP - 100
AB - A model of tumor growth in a spatial environment is analyzed. The model includes proliferating and quiescent compartments of tumor cells indexed by successively mutated cell phenotypes of increasingly proliferative aggressiveness. The model incorporates spatial dependence due to both random motility and directed movement haptotaxis. The model structures tumor cells by both cell age and cell size. The model consists of a system of nonlinear partial differential equations for the compartments of tumor cells, extracellular matrix, matrix degradative enzyme, and oxygen. The existence, uniqueness, positivity, regularity, and growth characteristics of the solutions are investigated.
LA - eng
KW - tumor growth; haptotaxis; analytic semigroups; nonlinear partial differential equations
UR - http://eudml.org/doc/222276
ER -