Abstract Treatment of breast cancer (positive for HER2, ie, ERBB2) is described by a
mathematical model involving non-linear ordinary differential equations with a hidden …

Cancer is a complex disease and thus is complicated to model. However, simple models
that describe the main processes involved in tumoral dynamics, eg, competition and …

Mixture theory has been applied to describe the mechanics of biological tissues since the
1960s. Most of the work was focused on the behaviour of articular cartilages [HHLM89 …

We build on our earlier mathematical model (Ward & King, 1997, IMA J. Appl. Math Appl.
Med. Biol., 14, 39–69) by incorporating two necrotic depletion mechanisms, which results in …

This book gives the reader a survey of hundreds results in the field of the cell and cell
associated objects modeling. Applications to modeling in the areas of AIDS, cancers and life …

Tumors are a family of high-mortality diseases, each differing from the other, but all
exhibiting a derangement of cellular proliferation and characterized by a remarkable lack of …

In this paper we explore a new model of field carcinogenesis, inspired by lung cancer
precursor lesions, which includes dynamics of a spatially distributed population of pre …

Cancer is increasingly recognized as not solely a disease of the genes and chromosomes
but as a systemic disease that affects numerous components of the host including blood …

Increasing experimental evidence suggests that epigenetic and microenvironmental factors
play a key role in cancer progression. In this respect, it is now generally recognized that the …

A model for normal and abnormal tissue growth is defined by a system of differential
equations. The model consists of a proliferating compartment, which is characterized by a …