  We investigate a new dynamical system that describes tumor-host interaction.
The equation that describes the untreated tumor growth is based on
non-extensive statistical mechanics. Recently, this model has been shown to fit
successfully exponential, Gompertz, logistic, and power-law tumor growths. We
have been able to include as many hallmarks of cancer as possible. We study
also the dynamic response of cancer under therapy. Using our model, we can make
predictions about the different outcomes when we change the parameters, and/or
the initial conditions. We can determine the importance of different factors to
influence tumor growth. We discover synergistic therapeutic effects of
different treatments and drugs. Cancer is generally untreatable using
conventional monotherapy. We consider conventional therapies, oncogene-targeted
therapies, tumor-suppressors gene-targeted therapies, immunotherapies,
anti-angiogenesis therapies, virotherapy, among others. We need therapies with
the potential to target both tumor cells and the tumors' microenvironment.
Drugs that target oncogenes and tumor-suppressor genes can be effective in the
treatment of some cancers. However, most tumors do reoccur. We have found that
the success of the new therapeutic agents can be seen when used in combination
with other cancer-cell-killing therapies. Our results have allowed us to design
a combinational therapy that can lead to the complete eradication of cancer.
