Stochastic Gene Expression

Molecular noise in transcription & translation
Burst freq k_on 0.10
Burst size b 5
Decay rate δ 0.05
Cells 4
Gene expression is inherently stochastic: transcription factors bind/unbind randomly, mRNA is produced in discrete bursts, and protein numbers fluctuate. The noise η² = Var/Mean² = 1/⟨n⟩ + b/k_on (intrinsic + burst contributions). Even genetically identical cells show wide protein-level variation — exploited for bet-hedging, cell fate decisions, and bistable switches.