Persistence and Spread Chain - Biophysical Active Matter and Cellular Motion Step by Step

Persistence length and active spread are accepted only when they reuse the terminal speed. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Persistence gives a run scale

Speed 4 m/s for 3 s gives run length 12 m.

4\cdot3=12\ \text{m}

The active spread scale uses the same speed and time

Speed squared times time over two gives 24 square meters per second.

4^{2}\cdot3/2=24\ \text{m}^{2}/\text{s}