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High-throughput characterisation of bull semen motility using differential dynamic microscopy
Fig 2
Examples of theoretical f(q, τ) at q = 0.34μm−1 for typical parameters.
fm(q, τ) from Eq 7 for oscillatory motion (green): 
, f0 = 25 Hz, A0 = 3 μm; ballistic motion (red): 
, σ = 70 μm s−1, f0 = 25 Hz, A0 = 0 μm; oscillatory and ballistic motion (orange): 
, σ = 70 μm s−1, f0 = 25 Hz, A0 = 3 μm; diffusive motion (grey): fd(q, τ) for Dd = 0.3 μm2, and diffusive motion (black): fnm(q, τ) for Dnm = 0.03 μm2 s−1. Full f(q, τ) (blue): from all four (additive) contributions if swimming spermatozoa contribute 50% of the signal, debris 25% and non-motile spermatozoa 25%.
doi: https://doi.org/10.1371/journal.pone.0202720.g002