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

This paper presents a critical review of selected topics related to the modelling of cancer
onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical …

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 …

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

Small interfering RNA (siRNA) molecules are potent effectors of post-transcriptional gene
silencing. Using noninvasive bioluminescent imaging and a mathematical model of siRNA …

In this work, optimal control for a fractional-order nonlinear mathematical model of cancer
treatment is presented. The suggested model is determined by a system of eighteen …

We present a hybrid cellular automata–partial differential equation model of moderate
complexity to describe the interactions between a growing tumor next to a nutrient source …

Radiotherapy is a primary therapeutic modality widely utilized with curative intent.
Traditionally tumor response was hypothesized to be due to high levels of cell death …

Drug development in oncology commonly exploits the tools of molecular biology to gain
therapeutic benefit through reprograming of cellular responses. In immuno‐oncology (IO) …

A mathematical model of the interactions between a growing tumor and the immune system
is presented. The equations and parameters of the model are based on experimental and …