Stochastyczne modele w układach biologicznych
prof. dr hab. Jacek Miękisz, dr Anna Ochab-Marcinek (IChF PAN)
Tuesdays 14:15-15:45, room 403
21 November 2017
Anna Ochab-Marcinek (IChF PAN)
Noise in gene expression: Cell division & Evolution of gene regulation
I am going to present the research topics that my research group works on:
1. Stochastic modeling of gene expression in dividing cells. I will present our recent models in which proteins are produced in random bursts, but the randomness of cell cycle duration and protein partitioning between daughter cells are the additional sources of noise. This addition allows us to correctly reproduce the noise vs. mean dependence of the experimental data and it provides more realistic estimates of the frequencies and sizes of protein bursts.
2. The role of gene expression noise in evolution of gene regulation. I am going to present the outline of the research project that I have just started.
14 November 2017
Jacek Miękisz (IMPAN and MIMUW)
Time delays in gene expression and evolutionary games
I begin with a short introduction to Simons Semester on Mathematical Biology in Banach Center, December 2017 - March 2018
Then I introduce some particular mathematical models of micro and macro biology: Markov jump processes which describe gene expression and regulation in living cells and Markov chains in evolutionary games (we do not assume any knowlege of biology and game theory). I outline main goals and open problems. We will discuss possible effects that stochasticity and time delays may have on the behavior of deterministic dynamical systems.