Multiscale Approximation and Parameter Estimation in Stochastic Models of the Glycolytic Pathway

Abstract: In this talk, I will introduce a glycolytic pathway that includes multiple enzyme-catalyzed reactions. We assume that some enzymes are present in low copy numbers and thus adopt a continuous-time Markov chain framework to capture stochastic effects. To further reduce network complexity, we apply a multiscale approximation method and derive a reduced ODE model that describes the system's behavior on a slow timescale.

The reduced model involves two key species and contains fewer parameters—expressed as functions of those in the full model--which facilitates more tractable parameter estimation. Assuming that only the reduced species are observable, we generate synthetic data from the full model and use it to estimate the parameters in the reduced model. This approach demonstrates how time-series data from a subset of species can enable effective estimation of composite parameters in a reduced system.

This is joint work with Arnab Ganguly.

chemical biologychemical kineticsalgebraic geometrydynamical systemsprobability

Audience: researchers in the topic

( video )

---

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.

---