Bias Run-Length Source Scan - Biophysical Active Matter and Cellular Motion Step by Step

Fixed run counts keep the bias fraction constant while run length changes displacement. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One-metre runs give two metres of net shift

Hold counts at 5 forward and 3 backward runs. Run length 1 m gives net displacement 2 m and bias fraction 1/4.

2\cdot1=2,\quad\frac{1}{4}

Two-metre runs give four metres

The same count ledger keeps bias fraction 1/4. Run length 2 m gives net displacement 4 m.

2\cdot2=4,\quad\frac{1}{4}

Three-metre runs give six metres

Run length 3 m gives net displacement 6 m. The row is a deterministic count-and-length ledger.

2\cdot3=6,\quad\frac{1}{4}