Simulation of a Cell Proliferation Model

In this paper, we are interested by the simulation of cell dynamics population based on the cell proliferation. The solution is to answer the following question: knowing the cellular density at time t0, how do we compute this density at time tn, n is unknown and could be infinite. After we show that the problem is mathematically well formulated and based on the theoretical results obtained so far, we propose a numerical model and graphical simulation approach. The developed environment, will undoubtedly constitutes, a biological means of experimentati on where the theories will be tested not on real biological populations but rather on a randomly generated data via a computer. This work is in the framework of the study of the phenomena related to the artificial life and the collective intelligence.