# Biomod/2011/Caltech/DeoxyriboNucleicAwesome/Progress/Theoretical Simulation

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## Theoretical Work

### Simulation of Expected Results

*Main article: Simulation*

Before undertaking our experiments, it's desirable to have an idea what our results our going to look like, particularly in the case of random walking, which we intend to investigate rather thoroughly. To do this, we use a stochastic simulation, written in MATLAB.

### Derivation of Random Walk Formula

*Main article: Random Walk Formula*

Besides the MATLAB simulation of random walking and cargo sorting, a random walk formula was developed to further investigate and verify the random walking mechanism on DNA origami. The probability of reaching the walker goal is expressed as a function of the number of steps taken.