MRI-based medical image analysis for brain tumor studies is gaining attention in recent
times due to an increased need for efficient and objective evaluation of large amounts of …

Brain tissue is not only one of the most important but also the most complex and compliant
tissue in the human body. While long underestimated, increasing evidence confirms that …

Mechanics are increasingly recognized to play an important role in modulating brain form
and function. Computational simulations are a powerful tool to predict the mechanical …

Most cancers in humans are large, measuring centimetres in diameter, and composed of
many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as …

Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

The human brain is the continuous subject of extensive investigation aimed at
understanding its behavior and function. Despite a clear evidence that mechanical factors …

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 …

In this paper we present a hybrid mathematical model of the invasion of healthy tissue by a
solid tumour. In particular we consider early vascular growth, just after angiogenesis has …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

In this paper we present an overview of agent-based models that are used to simulate
mechanical and physiological phenomena in cells and tissues, and we discuss underlying …