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

The advances in genetics and biochemistry that have taken place over the last 10 years led
to significant advances in experimental and clinical immunology. In turn, this has led to the …

Recently, it has become critical to attempt to recognize diseases with high death rates
around the world like infectious diseases and cancer. As a result, modeling in mathematics …

The number of publications on mathematical modeling of cancer is growing at an
exponential rate, according to PubMed records, provided by the US National Library of …

In the tumour microenvironment, cancer cells directly interact with both the immune system
and the stroma. It is firmly established that the immune system, historically believed to be a …

In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …

We performed a phase I trial of FANG vaccine, an autologous tumor-based product
incorporating a plasmid encoding granulocyte-macrophage colony-stimulating factor …

In this paper, we study the mathematical model of interaction cancer cells and immune
system cells presented Castiglione and Piccoli. As the interaction between cancer cells and …

Cancer is a fatal disease for a very long time. It has its own history. Now it has become one
of the major reasons for death due to its various types. Researchers, scientists and doctors …

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 …