Delay Device

Figure 1: Negative Feedforward model

Figure 2: Riboregulator model

Mathematical Modeling

The Negative Feedforward model shown above can be expressed with the following set of ODEs (ordinary differential equations):


The Riboregulator model shown above can be expressed with the following set of ODEs:


The symbols in this system of equations are found in the table below:


We would like to give credit to the Bologna '08 team and UNIPV-Pavia '08 team, who's project was useful in determining our own equations.

Conjugation

Using the paper "[http://www3.interscience.wiley.com/journal/118837812/abstract?CRETRY=1&SRETRY=0 A model for bacterial conjugal gene transfer on solid surfaces]", we established the assumptions and parameters that would be needed for the .

Assumptions

Parameters

• Surface area of media (A)
• Initial colony radius (r_0)
• Specific growth rate (g_n)
• Colony radial growth rate (g_r)
• Maximum numbers of cells sustained by system (N_max)
• Initial number of donors (N_d) and recipients (N_r)

All these parameters can be determined experimentally, or by literary research into previous conjugation experiments.

Spatial distribution of bacteria

Growth of colonies

Contact between colonies

Conjugation modeling

Final cell number