Chemotherapy plays an important role in the treatment of cancer. While clinical
chemotherapy protocols can lead to remission in some patients, in many cases tumor …

Cancer is primarily a disease of the physiological control on cell population proliferation.
Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence …

Modeling physiological phenomena in tumor growth under the effect of chemotherapeutic
agents promises to have a significant impact on cancer research. A reliable mathematical …

A mathematical model of tumor cell population dynamics is considered. The tumor is
assumed to consist of cells of two types: amenable and resistant to chemotherapeutic …

This research involves three propositions. First, we proposed a model that represents tumor
growth caused by carcinogenic substances from an initially diagnosed level; secondly, we …

Cancer chemotherapy is the treatment of cancer using drug that kills the malignant cancer
cells (tumours). In chemotherapy, the drug is delivered according to a schedule which …

Targeted therapy is one of the promising strategies for the treatment of cancer. However,
resistance to anticancer drug strongly limits the long-term effectiveness of treatment, which is …

We consider cancer chemotherapy as an optimal control problem with the aim to minimize a
combination of the tumor volume and side effects over an a priori specified therapy horizon …

A tumor is an abnormal mass of cells that forms when the body's control mechanisms fail to
regulate cell growth and division properly. Mathematical modelling is the process of …

In this paper we study the application of a single drug in cancer chemotherapy where the
drug can block progression through the cell cycle. Under certain conditions we determine …