Chemotaxis Relation Cross Scans

Tumble Time Drift Three-Row Scan

dead time lowers drift

Changing tumble overhead at fixed run displacement shows drift as displacement over total time. 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 second tumbles leave one metre per second drift

The run ledger still gives 24 m over 8 cycles. With run time 2 s and tumble time 1 s, total time is 24 s.

24/24=124/24=1
Run tumble drift ledgerBiased runs plus run/tumble timing determine drift speed.drift speed16/24 s

Two second tumbles lower drift to three fourths

Tumble time rises to 2 s. Total time becomes 32 s, so drift is 3/4 m/s.

24/32=3424/32=\frac{3}{4}
Run tumble drift ledgerBiased runs plus run/tumble timing determine drift speed.drift speed16/32 s

Four second tumbles lower drift to one half

With tumble time 4 s, total time reaches 48 s and drift drops to 1/2 m/s.

24/48=1224/48=\frac{1}{2}
Run tumble drift ledgerBiased runs plus run/tumble timing determine drift speed.drift speed16/48 s