Mathematical modelling of the movement of animals, micro-organisms and cells is of great
relevance in the fields of biology, ecology and medicine. Movement models can take many …

Nematodes are aquatic organisms that depend on thin water films to live and move within
existing pathways of soil pores of 25–100 μm diameter. Soil nematodes can be a tool for …

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process
whereby capillary sprouts are formed in response to externally supplied chemical stimuli …

Emergence of invasive behavior in cancer is life-threatening, yet ill-defined due to its
multifactorial nature. We present a multiscale mathematical model of cancer invasion, which …

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 paper we present two types of mathematical model which describe the invasion of
host tissue by tumour cells. In the models, we focus on three key variables implicated in the …

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process
whereby capillary sprouts are formed in response to externally supplied chemical stimuli …

Soil nematode communities have the potential to provide unique insights into many aspects
of soil processes. Since most nematodes are active in soil throughout the year, they can …

The dual cause of quantifying and modelling soil structure is a regular irritant to most soil
scientists, whatever their discipline. All know of the importance of placing soil processes in …

In a handful of fertile soil there are billions of microorganisms and yet, even with a
conservative estimate, the surface area covered by these organisms is considerably less …