Question

Consider a bacterial cell in a one-dimensional environment (e.g a tube) The bacteria reproduce by binary fission: Every hour each cell divides into two equal daughter cells. Immediately after the division, two daughter cells move away from each other and stop at points x+1 and x-1, where x is the original position of their parent cell before the fission. The process starts with a single cell located at x=0. We set the clock to t=0 in the beginning of the experiment. After one hour, at time t=1, there are two cells: at x=-1 and at x=1,
respectively. The process continues indefinitely