Math Modeling Seminar: Stochastic and spatial modelling of reaction network systems

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math modeling seminar lea popovic

Math Modeling Seminar
Stochastic and spatial modelling of reaction network systems

Dr. Lea Popovic
Professor, Department of Mathematics and Statistics
Concordia University, Montreal

You may attend this lecture in person at 2300 Gosnell Hall or virtually via Zoom.
If you’d like to attend virtually, you may register here for Zoom link.


There are many applications (in biology and physics) where particles of different types interact and move in a heterogeneous space. Some of these applications can be modelled by systems of reaction networks, which describe the changes due to individual particles meeting and interacting with each other. There are also many such systems which take place in a spatial domain which is not homogeneous. Models combining spatial dynamics and interactions can be made at different levels of detail using both deterministic and stochastic objects. I will describe the modelling framework at the microscopic level which uses continuous time Markov chains to describe the evolution of the number of particles of different types in different parts of the space. I will discuss various modelling complexities such as multiple time-scale of changes in particle abundances, and the stochastic tools that can be used to reduce the models to a macroscopic descriptions. I will motivate the topic with a basic example of an intracellular mechanism of enzymatic kinetics.

Speaker Bio

Intended Audience:
Undergraduates, graduates, and experts. Those with interest in the topic.

The Math Modeling Seminar will recur each week throughout the semester on the same day and time. Find out more about upcoming speakers on the Mathematical Modeling Seminar Series webpage.
To request an interpreter, please visit

Nathan Cahill
Event Snapshot
When and Where
September 27, 2022
2:00 pm - 2:50 pm
Room/Location: 2300

This is an RIT Only Event

Interpreter Requested?