Model Documentation

Documentation Preface

The documentation of the model consists of the derivations of all the equations used to create the model. Each equation contributes a piece of the picture which ultimately results in the calculations of important cell characteristics. These equations live in the matlab model that can be found here.

1. Experimental Data Analysis

Let fluorescent mRNA and protein concentration be represented by [Rf] and [Pf] respectively. They are related directly to the fluorescence level, which we will label Fr and Fp. The mRNA and protein concentration levels can be measured by just the fluorescence. To do this, we will abide by the assumptions that

Where Sr and Sp are scaling factors for mRNA and protein respectively and kr and kp are constants that transform fluorescence to mRNA and protein concentrations.

In the experiment, one uses a plate reader with varying concentration of the dyes in rows and varying time measurements in columns. The following image represents this.