Sudoku

Introduction System System Modeling Lab note Result Reference

Introduction

Background

What is Sudoku?

What's Sudoku?

Sudoku is a puzzle game with the objective of filling a 9x9 grid of cells with the numbers 1~9 without entering the same number in a column, row or “block (see figure).” A player is given a grid in which some of the cells are filled in from the beginning and must complete filling in the grid by entering the remaining numbers. The rules are simple, but some puzzles can get very difficult, and it attracts fans from all over the world. For simplicity, here we solve a 4x4 grid version. However, expanding on the same principles, our E. coli can theoretically solve larger grids, for example 9x9 grids.

Solving Sudoku with our E. coli

16 kinds E. coli corresponding to each cell

Every cells can "differentiate"

Now, we explain how to make E. coli solve Sudoku. First, we make 16 kinds E. coli corresponding to each cell.

Our E. coli are in one of two states, which we designate “differentiated” or “undifferentiated.” There are four differentiated states corresponding to the numbers one to four.

Differentiated E. coli have the ability to inform other bacteria what number they are, so that relevant bacteria do not differentiate into that number. Some E. coli are differentiated from the beginning. These bacteria set in action a chain of transmission events that result in the differentiation of bacteria corresponding to all 16 cells. These events take place in a flask which contains a co-culture of the 16 types of bacteria. Each of these 16 types interacts with detection bacteria on a plate which in turn inform the viewer the number the 16 cells have differentiated into with the use of fluorescent proteins.