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Theoretical Modelling

By GlasgowUni 2011

During our project DISColi, regarding Bio-photolithography in biofilms, we created mathematical models involving Colicin E2 and its rate of diffusion through a biofilm. We are presenting our findings in Figure 1 and Table 1. Also, due to the mode of action of Colicin E2 the attainable spatial resolution seems to be less than 0.01 mm.

Additionally, Figure 2 shows the multi-cell model for Colicin E2.

For more information, please visit GlasgowUni 2011 Wiki

Figure.1. Relative One-dimensional Diffusion of (a)Colicin E2 at certain points in time and (b)Colicin E2 within first 60 min. Threshold indicates critical concentration required for the molecule to work.

(a)

(b)

Table 1. Details on Colicin E2

Name of molecule	Length (a.a.)	Molecular weight (g/mol)	Diffusion rate (mm2/min)	Critical concentration (molecules)	Translation rate (molecule/min)	Achieving Critical Concentration (min)
Colicin E2	563	60000	0.72*10-4	1629	18.3	90

Figure 2. Model of Colicin E2 where 21 cells are next to each other in a row. Two plots are shown: the first shows cells illuminated for 90 min, the second shows cells illuminated for 45 min. Plots show concentration of the protein after 70 min of diffusion. Threshold indicates the critical concentration needed by Colicin E2 to lyse a cell.