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Name: _______________
BioE 104 Homework 1
Due Friday 1/28/11 at 11AM
Please attach this problem statement to your completed homework
1. (_____ out of
4 points
) Our random walk analysis in class indicated
that, for a number of particles all starting at x = 0 at t = 0, the mean
square displacement <x
2
> = 2D
ij
t. You’ve been told that, for N
particles all at x = 0 when t = 0, the concentration of particles at a
given point on the x axis at a given time can be calculated using the
equation:
c
(
x
,
t
)
=
N
4
π
D
ij
t
e
−
x
2
4
D
ij
t
Since the equation has one length dimension x, the concentration has
units of number of particles/m. The source of this equation was a
Stanford student, so it is automatically suspect. Before using it in your
research, you decide to test it and check that it agrees with our
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 Spring '10
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