 Solution

ID: past-exam-of-the-mathematical-and-computational-biology-course-of-the-university-of-cambridge/2024/paper-1/d7/b/solution

For unbiased one-dimensional diffusion, the mean squared displacement is

⟨ x^{2} (t)⟩ = 2 D t

. With

t = n τ

, compare this to the mutant expression:

2 D n τ = \frac{1}{6} n δ^{2}, D = \frac{δ ^{2}}{12 τ} .

D = \frac{( 10 μ m ) ^{2}}{12 ( 50 s )} = \frac{1}{6} μ m^{2} s^{- 1} \approx 0.167 μ m^{2} / s .

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