Seminar 7.10.2021: Candan Celik

[quittner]

Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 7.10.2021 at 14:00 Lecture room M-223

Candan Çelik (KAMŠ FMFI UK):
Protein noise and distribution in a two-stage gene-expression model extended by an mRNA inactivation loop

Abstract:
Chemical reaction networks involving molecular species at low copy numbers lead to
stochasticity in protein levels in gene expression at the single-cell level.
Mathematical modelling of this stochastic phenomenon enables us to elucidate
the underlying molecular mechanisms quantitatively. Here we present a two-stage
stochastic gene expression model that extends the standard model by an mRNA inactivation loop.
The extended model exhibits smaller protein noise than the original two-stage model.
Interestingly, the fractional reduction of noise is a non-monotonous function of protein stability,
and can be substantial especially if the inactivated mRNA is stable.
We complement the noise study by an extensive mathematical analysis of the joint steady-state distribution
of active and inactive mRNA and protein species.
We determine its generating function and derive a recursive formula for the protein distribution.
The results of the analytical formula are cross-validated by kinetic Monte-Carlo simulation.

This is joint work with Pavol Bokes and Abhyudai Singh.