Mathematical Modeling Support for Lung Cancer Therapy—A Short Review

Mathematical Modeling and Lyapunov-Based Drug Administration in Cancer Chemotherapy

In this paper a new mathematical model is developed for the dynamics between tumor cells, normal cells, immune cells, chemotherapy drug concentration and drug toxicity. Then, the theorem of Lyapunov stability is applied to design treatment strategies for drug protocols that ensure a desired rate of tumor cell kill and push the system to the area with smaller tumor cells. Using of this theorem a...

Different Strategies for Cancer Treatment: Mathematical Modeling

We formulate and analyze a mathematical model describing immune response to avascular tumor under the influence of immunotherapy and chemotherapy and their combinations as well as vaccine treatments. The effect of vaccine therapy is considered as a parametric perturbation of the model. In the case of a weak immune response, neither immunotherapy nor chemotherapy is found to cause tumor regressi...

A Short Review: Complementary and Alternative Medicine in Lung Cancer

Complementary and alternative medicine (CAM) is a growing field that has started to integrate itself into the management of many diseases and disorders, including cancer. As more patients continue to incorporate the use of CAM into their treatment plans, it is important to understand the mechanism and clinical effectiveness of CAM. This review focuses on the role of CAM in lung cancer, includin...

A Mathematical Model for MicroRNA in Lung Cancer

Lung cancer is the leading cause of cancer-related deaths worldwide. Lack of early detection and limited options for targeted therapies are both contributing factors to the dismal statistics observed in lung cancer. Thus, advances in both of these areas are likely to lead to improved outcomes. MicroRNAs (miRs or miRNAs) represent a class of non-coding RNAs that have the capacity for gene regula...

Electrotherapy on Cancer: Experiment and Mathematical Modeling