SIAM Conference on the Life Sciences (LS18)

August 6, 2018- August 9, 2018
0 min read
Talk title
Classical Result and New Avenues of Research for Stochastic Models in Biology
Minisymposium
Stochastic Models for Biochemical Reaction Networks
Abstract of the talk

Stochastic reaction networks are mathematical models used to describe a biological system with low molecule counts. If few molecules are present, then the dynamics of the system is strongly affected by stochastic noise, and the changes of the molecules counts are described by means of a continuous time Markov chain.

I will introduce stochastic reaction networks and give an overview of the main results concerning them. In particular, I will show the connections between stochastic reaction networks and deterministic reaction networks, which can be regarded as fluid limits of the stochastic models. I will introduce diffusive approximations as well. Finally, I will outline some results pertaining stationary distributions of stochastic reaction networks, and relate them to graphical equilibria. All these topics will be discussed with more details in the course of the minisymposium.

Location

Minneapolis, MN, USA

Minneapolis, MN, USA

Stochastic Reaction Networks Chemical Reaction Networks
Daniele Cappelletti
Authors
Daniele Cappelletti
Associate Professor