Modeling periodic transcriptions in tandem gene systems

Area of Science:

• Systems Biology
• Molecular Biology
• Biophysics

Background:

• Gene transcription is often regulated by external signals.
• Tandem gene systems involve sequential gene regulation.
• Stochastic fluctuations (noise) play a role in gene expression.

Purpose of the Study:

• To analyze periodic gene transcription in a tandem gene system.
• To derive analytical formulas for key transcriptional parameters.
• To understand signal propagation and noise effects in gene networks.

Main Methods:

• Mathematical modeling of a tandem gene system.
• Derivation of analytical formulas for mean expression, delay, amplitude, and noise.
• Numerical simulations to validate theoretical findings.

Main Results:

• Both upstream and downstream gene transcription exhibit periodic behavior.
• Downstream gene expression shows a phase delay and amplitude proportional to the upstream gene.
• Noise intensity increases with signal strength and is higher in the downstream gene.
• Delays are dependent on signal frequency and mRNA degradation rates.

Conclusions:

• Periodic signals propagate through gene networks with characteristic delays and amplitude changes.
• Stochastic fluctuations and gene regulation are coupled in transcriptional dynamics.
• Findings inform understanding of circadian rhythms and synthetic gene circuit design.