Mathematical Models of Avascular Tumor Growth

Authors:
Tiina Roose;S. Jonathan Chapman;Philip K. Maini
Affiliations:
-;-;-
Venue:
SIAM Review
Year:
2007

Citing 0
Cited 8

Synchronization among tumour-like cell aggregations coupled by quorum sensing: A theoretical study

Computers & Mathematics with Applications
A numerical algorithm for avascular tumor growth model

Mathematics and Computers in Simulation
Computational Modeling of Solid Tumor Growth: The Avascular Stage

SIAM Journal on Scientific Computing
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models

Mathematical and Computer Modelling: An International Journal
From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach

Mathematical and Computer Modelling: An International Journal
Modeling Growth in Biological Materials

SIAM Review
Research article: Modeling of tumor growth in dendritic cell-based immunotherapy using artificial neural networks

Computational Biology and Chemistry
Three phase flow dynamics in tumor growth

Computational Mechanics

Quantified Score

Hi-index	0.00

Visualization

Abstract

This review will outline a number of illustrative mathematical models describing the growth of avascular tumors. The aim of the review is to provide a relatively comprehensive list of existing models in this area and discuss several representative models in greater detail. In the latter part of the review, some possible future avenues of mathematical modeling of avascular tumor development are outlined together with a list of key questions.