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 …

We investigate a mathematical model of tumor–immune interactions with chemotherapy, and
strategies for optimally administering treatment. In this paper we analyze the dynamics of …

In this study, we develop a new dynamical model of cancer growth, which includes the
interactions between tumour cells, healthy tissue cells, and activated immune system cells …

A mathematical model for the scheduling of angiogenic inhibitors in combination with a
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …

The scientific community is aware that the great scientific revolution of this century will be the
mathematical formalization, by methods of applied mathematics, of complex biological …

TGF-β is an immunoregulatory protein that contributes to inadequate antitumor immune
responses in cancer patients. Recent experimental data suggests that TGF-β inhibition …

Cancer stem cells (CSCs) drive tumor progression, metastases, treatment resistance, and
recurrence. Understanding CSC kinetics and interaction with their nonstem counterparts …

Manipulation of the gut microbiota holds great promise for the treatment of diseases.
However, a major challenge is the identification of therapeutically potent microbial consortia …

Although recent advances in oncology emphasized the role of microenvironment in tumor
growth, the role of delays for modeling tumor growth is still uncertain. In this paper, we …