… In recent work, Byrne and Drasdo 34 have developed complementary cell-based and
continuum models of MCS growth that exhibited similar growth kinetics. By fitting the profiles for the …

Cancer is a complex disease in which a variety of factors interact over a wide range of spatial
and temporal scales with huge datasets relating to the different scales available. However, …

In this paper, we review multi-scale models of solid tumour growth and discuss a middle-out
framework that tracks individual cells. By focusing on the cellular dynamics of a healthy …

Despite intensive research, hydrogels currently available for tissue repair in the musculoskeletal
system are unable to meet the mechanical, as well as the biological, requirements for …

In this article a model for the evolution of a spherically symmetric, nonnecrotic tumor is
presented. The effects of nutrients and inhibitors on the existence and stability of time-…

Most of the existing mathematical models for tumour growth and tumour-induced angiogenesis
neglect blood flow. This is an important factor on which both nutrient and metabolite …

… To date only McElwain and Morris [23] and Byrne and Chaplain El91 have incorporated
apoptosis into a mathematical model of tumor growth. Following [191, to simplify the analysis, …

Periodic features observed on the ocean surface from the Earth Resources Technology
Satellite 1 have been interpreted as surface slicks due to internal wave packets. They appear to …

Chaste (‘Cancer, heart and soft-tissue environment’) is a software library and a set of test
suites for computational simulations in the domain of biology. Current functionality has arisen …

Many solid tumour growth models are formulated as systems of parabolic and/or hyperbolic
equations. Here an alternative, two-phase theory is developed to describe solid tumour …