Bacterial Chemotaxis (Run-and-Tumble)

Parameters

Running:
Near source: %
Avg drift:
Run-and-tumble: E. coli swims straight (run), then randomly reorients (tumble). Chemotaxis: suppress tumbling when moving up-gradient.

λ(grad) = λ₀ · exp(−χ · ∇c/c). Color: green=running, red=tumbling.

Drift velocity ≈ χ·v²/(6λ₀) · |∇ln c|.