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Team:Paris Bettencourt/tRNA diffusion/Random walker
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<p>This model is very similar to the one used in <a href="https://2011.igem.org/Team:Paris_Bettencourt/Hypothesis#references">[2]</a>. We consider that the particle diffusing in the cell is a <em>random walker</em>.</p> | <p>This model is very similar to the one used in <a href="https://2011.igem.org/Team:Paris_Bettencourt/Hypothesis#references">[2]</a>. We consider that the particle diffusing in the cell is a <em>random walker</em>.</p> | ||
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Revision as of 12:10, 11 September 2011
This model is very similar to the one used in [2]. We consider that the particle diffusing in the cell is a random walker.
We want to see how long it takes for a particle of a given size to diffuse to any point of a cell. We use the following parameters:
- V volume of the cell (10-18 m3)
characteristic size of the particle (m)- D diffusion coefficient of the particle (m2.s-1)
We divide the cytoplasm volume V into 
occupation sites for the walker. The characteristic time 
associated with the transition from one site to another is:
[3]
If we have R walkers of this type, the probability that a molecule arrives at a given occupation site during the time interval is: 
.
