Looking at biochemical reaction networks through the lens of the BDC-decomposition

Abstract: Some properties and emerging behaviours of a biochemical reaction network are exclusively due to its structure (i.e., its stoichiometry along with qualitative assumptions) and are independent of parameter values, which are often uncertain, unknown or time-varying. Structural analysis is aimed at assessing properties that hold for a whole family of systems, characterised by a given structure, regardless of parameter values and precise functional expressions. We propose the BDC-decomposition as a tool for both a local and a global representation of a nonlinear system with an underlying network structure. We show how the BDC-decomposition can help us structurally assess important properties, including stability, stabilisability and the sign of steady-state input-output influences in complex interconnected uncertain systems, with a special focus on biochemical reaction networks.

algebraic geometrydynamical systemsprobability

Audience: researchers in the topic

( video )

Comments: Giulia Giordano is currently an Assistant Professor at the University of Trento, Italy. She received the B.Sc. and M.Sc. degrees in electrical engineering and the Ph.D. degree in systems and control theory from the University of Udine, Italy, in 2010, 2012, and 2016, respectively. She visited the California Institute of Technology, Pasadena (CA), USA, in 2012, and the University of Stuttgart, Germany, in 2015. She was a Research Fellow at Lund University, Sweden, from 2016 to 2017, and an Assistant Professor at the Delft University of Technology, The Netherlands, from 2017 to 2019. She was recognised with the Outstanding Reviewer Letter from the IEEE Transactions on Automatic Control in 2016 and from the Annals of Internal Medicine in 2020. She received the EECI Ph.D. Award 2016, the NAHS Best Paper Prize 2017, and the SIAM Activity Group on Control and Systems Theory Prize 2021. Her main research interests include the analysis and the control of dynamical networks, with applications especially to biology and epidemiology.

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Seminar on the Mathematics of Reaction Networks

Series comments: Subscription link: list.ku.dk/postorius/lists/morn.list.ku.dk/

This seminar series focuses on progress in mathematical theory for the study of reaction networks, mainly in biology and chemistry. The scope is broad and accommodates works arising from dynamical systems, stochastics, algebra, topology and beyond.

We aim at providing a common forum for sharing knowledge and encouraging discussion across subfields. In particular we aim at facilitating interactions between junior and established researchers. These considerations will be represented in the choice of invited speakers and we will strive to create an excellent, exciting and diverse schedule.

The seminar runs twice a month, typically on the 2nd and 4th Thursday of the month, at 17:00 Brussels time (observe that this webpage shows the schedule in your current time zone). Each session consists of two 25-minute talks followed by 5-minute questions. After the two talks, longer discussions will take place for those interested. To this end, we will use breakout rooms. For this to work well, you need to have the latest version of Zoom installed (version 5.3.0 or higher), and use the desktop client or mobile app (not supported on ChromeOS).

We look forward hearing about new work and meeting many of you over zoom!

The organizers.

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