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

Cancer is a complex, multiscale process in which genetic mutations occurring at a
subcellular level manifest themselves as functional changes at the cellular and tissue scale …

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 …

Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

Time-delays and fractional-order play a vital role in modeling biological systems with
memory. In this paper, we propose a novel delay differential model with fractional-order for …

Universal scaling behavior is an attractive feature in statistical physics because a wide
range of models can be classified purely in terms of their collective behavior due to a …

This paper deals with a review and critical analysis on the mathematical kinetic theory of
active particles applied to the modelling of the very early stage of cancer phenomena …

Recently, a large number of mathematical models that are described by delay differential
equations (DDEs) have appeared in the life sciences. In this paper, we present a delay …

Herein, we study an optimal control problem of delay differential model to describe the
dynamics of tumour-immune interactions in presence of immuno-chemotherapy. The model …

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 …