In this article, we present a new continuous model for tumor growth. This model describes
the evolution of three components: sane tissue, cancer cells and extracellular medium. In …

A number of biological phenomena are interlaced with classical mechanics. In this review
we discuss the role of mechanics in tumor growth, namely the avascular phase of solid …

In the last ten years, mixture theory has been applied with success to describe several
problems related to tumor growth, as reviewed by Ambrosi and Preziosi (2002), Araujo and …

We consider the dynamic growth of a tumour, concentrating on the possible development of
a necrotic region and examine some simple tumour geometries in detail. The growth and …

This chapter focuses on the mechanical aspects of tumor growth. After describing some of
the main features of tumor growth and in particular the phenomena involving stress and …

Mechanical factors play a major role in tumor development and response to treatment. This
is more evident for tumors grown in vivo, where cancer cells interact with the different …

The purpose of this paper is to develop a new coupled mathematical model of angiogenesis
(new blood vessel growth) and tumor growth to study cancer development and anti …

Cancer is a multistep process. Once a mutation of a single, normal cell has taken place, the
transition from the transformed cell to a tumor and then to metastasis is a complex process …

A continuous mathematical model of non-invasive avascular tumor growth in tissue is
presented. The model considers tissue as a biphasic material, comprised of a solid matrix …

Tumor invasion concerns the tumor capability of colonizing the host by means of several
complex biochemical processes. Since certain aspects of the problem present a striking …