Discrete state deterministic approach

Abstract: Chemical reaction networks are typically modeled using two approaches: deterministic models, which are suitable for large systems, and stochastic descriptions, which are accurate at smaller scales. However, the transition between these two models has been unclear. We introduce a continuous-time, discrete-state deterministic (CDD) approach that bridges this gap by using a newly introduced concept called reaction extent. A reaction is considered complete when its coordinate reaches an integer value. Numerical simulations demonstrate the stepwise changes in concentration and the underlying dynamics. Additionally, this method shows potential for application to various types of chemical reaction systems. Joint work with Gábor Lente.

chemical biologychemical kineticsalgebraic geometrydynamical systemsprobability

Audience: researchers in the topic

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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 approximately every other week on Thursdays, 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! Many of the talks are recorded; to see the recording, from Past Talks, open details of the listed talk for a video link.

The organizers.

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