The intracellular and extracellular dynamics that govern tumor growth and invasiveness in
vivo remain poorly understood. Cell genotype and phenotype, and nutrient, oxygen, and …

Clinical outcome prognostication in oncology is a guiding principle in therapeutic choice. A
wealth of qualitative empirical evidence links disease progression with tumor morphology …

Gliomas are well known for their potential for aggressive proliferation as well as their diffuse
invasion of the normal-appearing parenchyma peripheral to the bulk lesion. This review …

Invasion of malignant glioma is a highly complex phenomenon involving molecular and
cellular processes at various spatio-temporal scales, whose precise interplay is still not fully …

In this paper, we present and investigate a model for solid tumor growth that incorporates
features of the tumor microenvironment. Using analysis and nonlinear numerical …

Empirical evidence and theoretical studies suggest that the phenotype, ie, cellular-and
molecular-scale dynamics, including proliferation rate and adhesiveness due to …

The desire to understand tumor complexity has given rise to mathematical models to
describe the tumor microenvironment. We present a new mathematical model for avascular …

In this review we summarize our recent efforts using mathematical modeling and
computation to simulate cancer invasion, with a special emphasis on the tumor …

A significant body of research, spanning approximately the last 25 years, has focused upon
the task of developing a better understanding of tumor growth through the use of in vitro …

Glioblastoma, the most malignant form of brain cancer, is responsible for 23% of primary
brain tumors and has extremely poor outcome. Confounding the clinical management of …