Stochastic Simulation of Yeast Cells and Its Colony Growth by Using Circular Granular Model for Cases of Growth and Birth Probabilities Depends on Position

Abstract

Until now, many studies were conducted on microorganisms in order to make the best use of them and prevent the loss. As a type of microorganism that is widely utilized by humans, the yeast has a simple single cell structure that can represent many other complex cell processes and generally has almost elliptical shapes making it easier to model for further investigation. In this study, we model yeast cells with two dimensional circular granular particles and the interaction between them are modeled by the force of gravity, normal force, and Stokes force. The growth and birth factor of yeast cells are modeled stochastic with the simulation is done by using javascript programming language. From the simulation results obtained, showing the growth of yeast cells in the colony has a behavior that is in accordance with the theory, which grows exponentially, as well as the growth of the size of the colony radius whose growth rate is half to the rate of growth of its number of cells.