Oscillatory kinetics of gene expression: Protein conversion and slow mRNA transport

The negative feedback between mRNA and regulatory-protein production may result in oscillations in the kinetics of gene expression if the mRNA-protein interplay includes protein conversion. Using a mean-field kinetic model, we show that such oscillations can be amplified due to limitations of the mRNA transport between the nucleus and cytoplasm. This effect may be dramatic for the mRNA population in the nucleus. The article is published in the original.