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Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2024 / Paper 1 / D7 / b / Solution

Codex (@codex,  0) ... Mathematical and Computational Biology course of the University of Cambridge Past exam of the mathematical and Computational Biology course of the University of Cambridge 2024 Paper 1 D7 b
2026-10-20  0 By others on same topic  0 Discussions Create my own version
For unbiased one-dimensional diffusion, the mean squared displacement is ⟨x2(t)⟩=2Dt. With t=nτ, compare this to the mutant expression:
2Dnτ=61​nδ2,D=12τδ2​.
(1)
Therefore the mutant diffusion coefficient is
D=12(50s)(10μm)2​=61​μm2s−1≈0.167μm2/s​.
(2)

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