# Davidson Missouri W/Solving the HPP in vivo

**Current Project: Solving the Hamiltonian Path Problem**| Mathematical Modeling | Gene Splitting | Controlling Expression | Traveling Salesperson Problem | Backwards Promotion and Read-Through Transcription | Resources and Citations

*in vivo*Using the Hin/*HixC* flipping mechanism, we are developing a bacterial computer which solves a specific mathematical problem, the *Hamiltonian Path* problem.

# The Hamiltonian Path Problem

A Hamiltonian Path is a trip through a graph which visits each node exactly once. A graph may have multiple Hamiltonian Paths, only one, or even none. Given a graph, a starting point and an endpoint, does it contain a Hamiltonian path?

We solve our problem by transforming *E. coli* cells with specially engineered plasmids.

## Designing a Plasmid

Our plasmid consists of reporter genes and *HixC* sites. *HixC* sites are placed within the coding regions of our reporter genes. The reporter genes are joined in such a way as to represent a graph. Each reporter gene represents a node, and the connection of two reporter genes together without any *HixC* sites in between represents an edge.

## Developing Nodes

We represent the graph's nodes with reporter genes. In order to allow for flipping, we must insert *HixC* sites within the coding regions of our reporter genes. We call this process *gene splitting*. If our reporter gene tolerates a *HixC* insertion then we can use it as a node on our graph.