Constructing Equivalent Electrical Circuits for (Bio)chemical Reaction Networks

Abstract: In this work, we develop and demonstrate a technique to transform reaction networks into modular electrical circuits that embody the same dynamic behaviour. After mathematically proving the equivalence of both representations, we illustrate the potential of the electrical framework to analyse oscillatory or chaotic systems. The approach is then applied to solve for effective rate constants in heterogeneous catalysis, to enumerate flux subcycles in the dihydrofolate reductase (DHFR) reaction pathway, and to simulate a simplified model of E. coli glycolysis. In addition to being an elegant analogy that bridges separate fields of research, we believe that the devised methodology will be a valuable tool that can be leveraged by (bio)chemists and (bio)chemical engineers to investigate and quantify the dynamics of their specific reaction systems.

algebraic geometrydynamical systemsprobability

Audience: researchers in the topic

( video )

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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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