GeneModeling

Goals

• Modeling Gene regulatory networks

Central Dogma of Biology

DNA → mRNA → Protein

1. Transcription

• DNA is transcribed into mRNA.
• mRNA degrades at rate γ_m.
• While present, mRNA is a template for protein synthesis.

2. Translation

• Ribosomes translate mRNA into protein.
• Protein degrades at rate γ_p.

3. Mathematical Model

dm/dt = km – γm·m
dp/dt = kp·m – γp·p

Symbol	Definition
m	mRNA concentration
p	Protein concentration
km	mRNA production rate
γm	mRNA degradation rate
kp	Protein production rate per mRNA
γp	Protein degradation rate

4. How to find the Steady State

dm/dt = 0 -> m = k_m/γm

dp/dt = 0 -> p = k_{p * m/γp --> p = kp * km / γp * γm}