Cancer disease is the second cause of death in the United States and world-wide. Most Researchers estimate that 595,690 of American people will die from cancer at the end of the year 2017. That means 1,600 deaths/day approximately. Cancer in modern societies is commonly treated with the combination of organ surgery, chemotherapy and radiotherapy. Many kinds of diet strategies have been experimented. However, none of them have been particularly effective. Interestingly, there is some applied research suggesting that a very low-carb ketogenic diet may help. According to Otto Warburg hypothesis, the cause of cancer is the change in the metabolism of mitochondrion in human cells. Low oxygen in tissues in combination with high blood glucose will change the cell respiration from aerobic to anaerobic which leads to fermentation type of respiration. In this research we have collected some useful mathematical models and describing the best model for cancer growth.