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 progression occurs despite continued treatment. In the present study we summarize mathematical approaches to model tumor growth and response to treatment, focusing on anticancer therapy resistance. We present results obtained at the recently founded Cybermedical Competence Center at Óbuda University, focusing on the development of a new therapy optimization concept that aims to optimize traditional chemotherapy.