Team:Groningen/Template/MODULE/project/MBD/diffusionrates

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<math>\frac{D^{gel}}{D^{soln}}=\frac{e^{-0.84\phi^1.09}}{1+\kappa\alpha+\frac{1}{3}+(\kappa\alpha)^2}</math>
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<math>\frac{D^{gel}}{D^{soln}}</math>
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Revision as of 22:04, 17 October 2014

Diffusion rates
 
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Studying the diffusion rates of Nisin, Aiia and DspB is important to estimate the time taken to reach the threshold concentrations. The threshold concentration is the minimum concentration of the proteins that is required to breakdown biofilm, kill Staphylococcus aureus and quorum quench Pseudomonas aeruginosa population. The diffusion constants for these three proteins were not available directly. They were calculated using number formulas which are listed below. Diffusion rate inside the polyacrylamide gel is different from the diffusions in a solvent. The diffusion rates for the proteins in polyacrylamide gel is calculated using the formula: <math>\frac{D^{gel}}{D^{soln}}</math>
 
Figure 1
 
Figure 1:

Φ - function of φ,aS and af.

as - Stokes-Einstein radius for the solutes
af - cylindrical radius of the fibers in the gel
κ - Darcy permeability
Dsoln - Diffusion coefficient in solution
Dgel – Diffusion coefficient in gel

 
 
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