Stochastic Gene Expression
Gillespie Algorithm — Bursty Transcription & Translation
Single cell trajectory — mRNA (cyan) & Protein (orange)
Population of 40 cells — protein distribution histogram
Parameters
Burst frequency (k_on):
0.05
/s
Burst size (mRNAs/burst):
4
Translation rate:
2.0
/s
mRNA degradation:
0.05
/s
Protein degradation:
0.01
/s
Reset Simulation
Live Stats
mRNA count:
0
Protein count:
0
Sim time:
0.0
s
Bursts fired:
0
Pop mean protein:
0
CV (noise):
0.0
Model
Gene →
burst of mRNA
mRNA →
Protein
mRNA degrades (δ_m)
Protein degrades (δ_p)
Gillespie SSA: exact
stochastic simulation
Noise ∝ 1/√⟨Protein⟩