Document Type : Research Paper

Authors

• Atefeh Deris
• Mahdi Sohrabi-Haghighat

Department of Mathematics, Arak University, Arak 38156-8-8349, Iran

Abstract

The behavior and growth of cancerous tumor is an interesting research subject and it has been widely analyzed from theoretical and empirical aspects. Various models have been applied to determine the growth pattern of cancerous tumor. In one of the current models, which we refer to as the competitive model, the tumor growth rate is determined based on the competition between the healthy and cancer cells. In this model, the competition matrix between the healthy and cancer cells is a type of prisoner's dilemma game matrix, so the growth curve of tumor has a sigmoid or S shape. According to the effective application of this model in determining the tumor growth rate, some methods to get rid of the model restrictions are presented so that it can be used for tumor progression pattern. Finally, in order to evaluate the efficiency of the developed model, it has been implemented in some empirical examples.

Keywords

• Cancerous tumor
• Curve fitting
• Evolutionary game theory
• Fitness
• Growth rate
• Prisoner's dilemma game