A Mathematical Model of Cancer Under Radiotherapy
[1]
Raul Isea, Institute of Advanced Studies – IDEA, Hoyo de la Puerta, Baruta, Venezuela.
[2]
Karl E. Lonngren, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA, USA.
The goal of this paper is to suggest a three mathematical model description of the Lotka-Volterra competition model type that could be used in understanding the action of radiation when the cancerous cells, the healthy cells and the cells that are triggered by the immune cells interact with each other. In order to do that, we analyze the model where there is only an interaction between the cancer and the normal cells. We extend the model to include immune response cells. Finally, we examine the effects of radiation therapy according to three different mathematical models.
Cancer, Lotka-Volterra, Cells, Dynamics, Radiotherapy
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