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\section{Math}   \hspace{20 mm}To begin, for the creation of a tumor, mm}Tumors were modeled as  amathematical phenomenon called  random walk was utilized to formulate a tumor. Random walk. A random  walk is the a  mathematical formalization of a path that consists of a succession of random steps. steps [CITE].  Random walk sets, or takes independent random variables, denoted in our case by Z_{1}...Z_{n} where each independent variable has a value of 1 or -1 and an equal probability of 0.5. It sets the "random walk" of n steps equal to: \begin{equation}  S_{n} = \sideset{}{}\sum_{j=1}^{n}Z_{j}  \end{equation}