Despite promising results in preclinical and clinical studies, the therapeutic efficacy of
antiangiogenic therapies has been restricted by a narrow focus on inhibiting the growth of …

Cancer is a complex, multiscale process in which genetic mutations occurring at a
subcellular level manifest themselves as functional changes at the cellular and tissue scale …

A main goal of mathematical and computational oncology is to develop quantitative tools to
determine the most effective therapies for each individual patient. This involves predicting …

Tumor associated angiogenesis is the development of new blood vessels in response to
proteins secreted by tumor cells. These new blood vessels allow tumors to continue to grow …

To employ computer models of tumor proliferation for planning cancer treatment, extremely
fast numerical solvers are in high demand at least for two reasons: data adaptation and …

The biology of cancer is critically reviewed and evidence adduced that its development can
be modelled as a somatic cellular Darwinian evolutionary process. The evidence for …

This work presents a continuous model for three early stage events in angiogenesis:
initiation, sprout extension, and vessel maturation. We carefully examine the regulating …

Supermodeling is an interesting and non-standard concept used recently for simulation of
complex and non-linear systems such as climate and weather dynamics. It consists in …

Growing solid tumors recruit the blood vessel network of the host tissue for nutrient supply,
continuous growth and gain of metastatic potential. Consequently the tumor vasculature has …

We present a parallel solver for isogeometric L2 projections implemented in GALOIS system.
We use the solver for isogeometric finite element method simulations of tumor growth. First …