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discussion_2008_01_25

# discussion_2008_01_25 - Discussion Diffusion common...

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Discussion Diffusion – common misconceptions and errors based on problem set 1 Gibbs’ free energy
( 29 = = N i i t x N t x 1 1 ) ( ( 29 = = N i i t x N t x 1 2 2 1 ) ( ( 29 ( 29 ( 29 ( 29 = - = - N i i i x t x N x t x 1 2 2 0 1 ) 0 ( ) ( x is the displacement from the initial position, so x i (0)=0 If x were the position, what would the above look like?

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x 0 20 40 60 80 100 -60 -40 -20 0 20 40 60 t ( 29 t t x N t x N i i = = 1 2 2 1 ) (
2 x 0 20 40 60 80 100 0 1000 2000 3000 4000 t ( 29 t t x N t x N i i = = 1 2 2 1 ) (

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0 20 40 60 80 100 0 200 400 600 800 1000 1200 1400 t 2 x ( 29 t t x N t x N i i = = 1 2 2 1 ) (

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-6 -4 -2 0 2 4 6 0 0.1 0.2 0.3 0.4 x (µm) Probability density ( 29 t t x t x = ) ( 2 σ ( 29 2 x x sd x - = = σ 2 x sd x = = σ
-6 -4 -2 0 2 4 6 0 0.1 0.2 0.3 0.4 x (µm) Probability density

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2 x 0 2 4 6 × × × Suppose there is a wall at x=±4 µm, and particles bounce off this wall. How will this affect the plots? 2 x sd x = = σ time 2 x time
You are unlikely to need to draw a probability distribution on an exam, but it is important for you to understand it.

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Microtubules are long, thin filaments of the cytoskeleton. MCAK (kinesin-13) can diffuse along a
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discussion_2008_01_25 - Discussion Diffusion common...

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