Hydrogels are highly water-swollen molecular networks that are ideal platforms to create
tissue mimetics owing to their vast and tunable properties. As such, hydrogels are promising …

Living systems can grow, develop, adapt, and evolve. These phenomena are non-intuitive to
traditional engineers and often difficult to understand. Yet, classical engineering tools can …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

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 …

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 …

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …

The effect of growth in the stability of elastic materials is studied. From a stability perspective,
growth and resorption have two main effects. First a change of mass modifies the geometry …

In this paper we compare two alternative theoretical approaches for simulating the growth of
cell aggregates in vitro: individual cell (agent)-based models and continuum models. We …

While a large and growing literature exists on mathematical and computational models of
tumor growth, to date tumor growth models are largely qualitative in nature, and fall far short …

Introduction to Mathematical Oncology presents biologically well-motivated and
mathematically tractable models that facilitate both a deep understanding of cancer biology …