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

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 …

In recent years it has become clear that carcinogenesis is a complex process, both at the
molecular and cellular levels. Understanding the origins, growth and spread of cancer …

Despite major advances in the study of glioma, the quantitative links between intra-tumor
molecular/cellular properties, clinically observable properties such as morphology, and …

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 …

Reaction-diffusion systems have been widely studied in developmental biology, chemistry
and more recently in financial mathematics. Most of these systems comprise nonlinear …

Fungi are of fundamental importance in terrestrial ecosystems playing important roles in
decomposition, nutrient cycling, plant symbiosis and pathogenesis, and have significant …

We present a new, adaptive boundary integral method to simulate solid tumor growth in 3-d.
We use a reformulation of a classical model that accounts for cell-proliferation, apoptosis …

Since cancer is a complex phenomenon that incorporates events occurring on different
length and time scales, therefore multiscale models are needed if we hope to adequately …

The induction of angiogenesis is a promising therapeutic strategy for the amelioration of
peripheral arterial disease (PAD). This occlusive disease results in muscle ischemia, and …