# IGEM:IMPERIAL/2007/Projects/Cell by date/Modelling

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# Cell by Date: Modelling

## Overview of Modelling

Welcome to our portal page for the modelling of Cell By Date

Cell by date tries to improve on printed cell by date as acting as a thermal exposure device, exploiting the thermal dependance of the rate of expression of a simple reporter system. We are looking at a variety of constructs to realise this behaviour.

### Constructs to be Used

 GFP Based RFP Based

As can be seen in the above table all of our constructs have the same general form of a promoter upstream of a reporter. Looking at the rate of Fluorescent Protein (FP) produced :

$\frac{d[FP]}{dt}=k_{FP}(t)-d_{FP}[FP]$

1. kFP : Function of Temperature. k is based on the promoter used as promoters take time to turn on.
2. dFP : Function of System. May be considered to be a function of temperature as proteins degrade faster at higher temperatures.

### Transient Response of System

Image needs to be changed to matlab plot of system

### Transfer Function of System

Image needs to be changed to matlab plot of system

Construct 2 - LuxR not expressed

• pTet