# Angelica Torres: Dynamics of chemical reaction networks and positivity of polynomials

**Time: **
Tue 2020-09-15 11.15

**Location: **
Zoom and KTH, F11

**Participating: **
Angelica Torres, KTH

### Abstract

In biochemical processes, different molecules are consumed and produced as they interact with each other. The evolution of their concentration through time can be modelled with a system of differential equations that, under certain assumptions, is polynomial. In this case, the equilibrium points form an algebraic variety. In this talk I will present how these systems arise, and how deciding whether a polynomial can attain positive or negative values is used for detecting multistationarity and stability in the biochemical system.

**Notes:** The seminar will take place in F11 for **the first 18 people to arrive**. Overflow audience and those who are working from home can participate via Zoom with meeting ID
62586628413
.