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\section{Math}  To begin, for the creation of a tumor, a mathematical phenomenon called random walk was utilized to formulate a tumor. Random walk is the mathematical formalization of a path that consists of a succession of random steps. Random walk sets, or takes independent random variables, denoted in our case by Z_{1}) where each independent variable has a value of 1 or -1 and an equal probability of .5. Additionally, it sets the sum of 0 steps (S sub 0) to 0 and defines (S sub n = blah blah) the sum of n steps as the sum of each random variable up to n. This essentially defines what the value will be after n number of steps. To model the distribution of S sub n we need to set it to x and set the number of steps to the right and left by r and l, respectively. Due to the fact that most random walk distributions favor the right side marginally more, x = r - l and n, the total number of steps actually executed, = r + l. By simply solving for r and l we deduce that r = (1/2)(x + n) and l = (1/2)(n-x).  Given this, there are now (n choose l) ways that l given steps can occur in a total of n steps. This also denotes the number of ways of arriving at point x (the end point), with each way having a probabilty of p^{r}q^{l}.