# Dr. Nicola Vassena

SCIENTIST & PROJECT LEADER

nicola.vassena@uni-leipzig.de

Room:

#### ACADEMIC CAREER

**B.S. in Mathematics,**Università degli Studi di Milano, 2013**M.S. in Mathematics, Freie Universität Berlin, 2016****Ph.D. in Mathematics,**Freie Universität Berlin, 2020 Thesis: “Sensitivity of metabolic networks”, advisor: Bernold Fiedler**Postdoc**at Freie Universität Berlin 2020-2022 AG Nonlinear dynamics**Postdoc**at IZBI, Leipzig Universität 2023, Walter-Benjamin program of DFG

#### SCIENTIFIC INTERESTS

I am a mathematician interested in biological applications. I study networks of interacting populations, as biochemical networks or prey-predator systems. I focus on dynamical phenomena such as stability of equilibria, multistationarity, and the insurgence of oscillations. I try to understand the network motifs that possibly indicate such phenomena.**MAIN TOPICS **

- Biochemical and Metabolic Networks
- Population dynamics
- Nonlinear Dynamics
- Bifurcation Theory

__Project VA 1858/1-1 __“Zero-eigenvalue bifurcations in Chemical Reaction Networks”

The goal of the project is to find structural network conditions for the occurrence of zero-eigenvalue bifurcations.
The motivation is finding new efficient ways to detect multistationarity and oscillations, which are features of great importance for biochemical networks. Multistationarity is the property of a chemical system to exhibit two or more distinct steady-states (equilibria), co-existing under otherwise identical conditions. The phenomenon has been proposed as an explanation for many epigenetic processes, including cell differentiation. Oscillations are crucial in the regulation of metabolic processes, circadian rhythms, and other important biological functions. Mathematically, both multistationarity and oscillations may appear as a consequence of bifurcation phenomena involving a zero eigenvalue of the Jacobian of the system, at an equilibrium.
More specifically, for ODEs systems arising from chemical reaction networks, this project addresses
- Saddle-node bifurcation (simple eigenvalue zero);
- Takens-Bogdanov bifurcation (algebraically double eigenvalue zero),