Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …

We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …

A tumor is most dangerous disease of medical science which is a mass or lumps of tissue
that's formed by an accumulation of abnormal cells. A famous fractional tumor-immune …

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 …

Mathematical models of tumor-immune interactions provide an analytic framework in which
to address specific questions about tumor-immune dynamics. We present a new …

We develop and analyze a mathematical model, in the form of a system of ordinary
differential equations (ODEs), governing cancer growth on a cell population level with …

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 …

The available mathematical models describing tumor growth and the effect of anticancer
treatments on tumors in animals are of limited use within the drug industry. A simple and …

We present a phase-space analysis of a mathematical model of tumor growth with an
immune response and chemotherapy. We prove that all orbits are bounded and must …

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 …