70027

Apoptosis is a form of programmed cell death. Cells dying from apoptosis are known to be absorbed by neighboring cells in some cases. In this paper, apoptosis is modeled using a differential equations and an assumption that part of dead cells are absorbed by their neighbors. Also, modeling was conducted with taking into account both external and internal pathways of apoptosis. Using numerical methods, a study of the behavior of the colony is carried out for various parameters such as initial level of nutrients, initial number of healthy cells, coefficient of absorption of dead cells by healthy cells in colony. With a sufficient amount of nutrients, a rapid growth of the colony and then the establishment of some almost constant number of cells were observed. Number of healthy cells under the lack of the nutrients was found to decrease at the first time and then begin to increase as the colony adapts.