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Revision as of 02:53, 2 October 2012

Introduction

Colon cancer polyps produce high amounts of reactive oxygen species (ROS) and lactate. The high metabolic activity also causes an increase in temperature. Sensors for any one of these inputs alone would be confounded by normal physiological variation in temperature, lactate concentration, and ROS concentration. We propose a genetic circuit designed to detect higher than normal levels of all three, producing two separate outputs. There are two parts to the circuit: The first is a dual input system, using temperature and ROS as inputs to produce an output (LacZ). The second is a single input system, using lactate to produce GFP.

Insert picture of model here

In order to model our system, we have undertaken three main tasks:

1) Create a model using Mass-Action Enzyme Kinematics

2) Analyze this model using computational methods

3) Create an algorithm to predict the structure of our RNA thermosensors

We will start by describing the reactions within our circuit and then by creating a system of differential equations from the reaction sequence.

Our Circuit

Insert picture of circuit here.

The diagram above depicts the inner workings of our circuit created within E. Coli. The following chemical equations depict the pathway:

Insert chemical equations here.

The Model

Mass-Action Equations

Using mass-action kinetics, we write these chemical equations as a system of differential equations.

Insert ODEs here

System of ODEs

As it is, the system is too complicated for us to analyze, so we hereby make a few assumptions to simplify.

• Quasi Steady-State Assumption

• Forward Reaction Assumption

Temperature Dependence

Parameter Estimation

Experimental Data from Lab Work

Analysis

Bifurcation Analysis

Steady State Analysis

Modeling our Thermosensor

Herein we provide detailed information about our library of thermosensors and describe our attempt to model the secondary structure of the RNA hairpins.

Smith-Waterman Algorithm

The Smith-Waterman Algorithm is a simple process used to perform sequence alignment. To demonstrate how the algorithm works, we will use these two sequences:

• ACUAGGUA
• AGCUAGGA

First one sequence is placed in the first row of a grid, skipping the first two entries in the row. The second is likewise placed in the first column, skipping the first two entries in the column. Zeros are then placed in row 2 and column 2.

SM1

Then, a scoring matrix, S is created.

Our Revised Algorithm

Results