EWM-EMS Summer School: Kinetic Theory Arising from Mathematical Biology

July 1 - July 5, 2024

Understanding the dynamics of models for biophysical systems is key to fully comprehending them and has attracted the interest of mathematicians for many years. Often, purely deterministic models fail to capture the realistic dynamical behaviour of biological systems due to a certain amount of stochasticity inherent in their evolution. Also, when considering models for a large number of interacting agents, one needs to take into account that each individual is endowed with a specific activity in addition to mechanical variables such as position and velocity. Thus, describing the overall state of the system, in a kinetic framework, by a suitable probability distribution over some microscopic states can ease the analysis and help to reveal new properties. Kinetic theory, and in particular nonlinear kinetic PDEs, have proven to be very powerful, effective and useful tools in mathematical biology in the recent years. Kinetic models have for example been well applied to large systems of interacting agents coming especially from structured population dynamics such as shoals of fish, bacteria, and neurons, and to coagulation-fragmentation processes. 

The aim of the summer school is to introduce younger researchers to applications of well-known analytical methods for studying kinetic models arising from mathematical biology, as well as exploring recent developments within the field. 

Seminars Scroll to the next upcoming seminar

  • Marie Doumic: Mini-course “estimation problems in biological population models” part 1 July 01 10:00 - 11:00

    Marie Doumic: Mini-course “estimation problems in biological population models” part 1

  • Emeric Bouin: Logarithmic corrections in kinetic reaction transport waves July 01 11:30 - 12:00

    Emeric Bouin: Logarithmic corrections in kinetic reaction transport waves

  • Yao Yao: Mini-course “Introduction to the aggregation-diffusion equation” part 1 July 01 13:00 - 14:00

    Yao Yao: Mini-course “Introduction to the aggregation-diffusion equation” part 1

  • Alexandra Holzinger: Mean-field convergence in relative entropy and fluctuations for moderate regimes July 01 14:30 - 15:00

    Alexandra Holzinger: Mean-field convergence in relative entropy and fluctuations for moderate regimes

  • Tino Laidin: Discrete hypocoercivity for a nonlinear kinetic reaction model July 01 15:00 - 15:30

    Tino Laidin: Discrete hypocoercivity for a nonlinear kinetic reaction model

  • Iulia Cristian: From one-dimensional coagulation models to multi-dimensional ones July 01 15:30 - 16:00

    Iulia Cristian: From one-dimensional coagulation models to multi-dimensional ones

  • Marie Doumic: Mini-course “estimation problems in biological population models” part 2 July 02 10:00 - 10:55

    Marie Doumic: Mini-course “estimation problems in biological population models” part 2

  • Marie Doumic: Mini-course “estimation problems in biological population models” part 3 July 02 11:05 - 12:00

    Marie Doumic: Mini-course “estimation problems in biological population models” part 3

  • Raphael Winter: Bifurcation and hypocoercivity dynamics in collective motion July 02 13:00 - 13:30

    Raphael Winter: Bifurcation and hypocoercivity dynamics in collective motion

  • Eugenia Franco: Characterizing the detailed balance property by means of measurements in chemical networks. July 02 14:00 - 14:30

    Eugenia Franco: Characterizing the detailed balance property by means of measurements in chemical networks.

  • Carmela Moschella: A model for non-instantaneous collisions with alignment July 02 14:30 - 15:00

    Carmela Moschella: A model for non-instantaneous collisions with alignment

  • Viktoria Freingruber: TBA July 02 15:30 - 16:00

    Viktoria Freingruber: TBA

  • Claudia Wytrzens: Continuum Model for Volume Exclusion Particle Interactions via Anisotropic Repulsion Potentials July 02 16:00 - 16:30

    Claudia Wytrzens: Continuum Model for Volume Exclusion Particle Interactions via Anisotropic Repulsion Potentials

  • Charles Elbar: From Vlasov-Cahn-Hilliard to Cahn-Hilliard July 02 16:30 - 17:00

    Charles Elbar: From Vlasov-Cahn-Hilliard to Cahn-Hilliard

  • Yao Yao: Mini-course “Introduction to the aggregation-diffusion equation” part 2 July 03 10:00 - 10:55

    Yao Yao: Mini-course “Introduction to the aggregation-diffusion equation” part 2

  • Yao Yao: Mini-course “Introduction to the aggregation-diffusion equation” part 3 July 03 11:05 - 12:00

    Yao Yao: Mini-course “Introduction to the aggregation-diffusion equation” part 3

  • Marie-Therese Wolfram: TBA July 04 10:00 - 10:50

    Marie-Therese Wolfram: TBA

  • Alejandro Ramos Lora: Global behaviour of the NNLIF model with large delay July 04 11:00 - 11:30

    Alejandro Ramos Lora: Global behaviour of the NNLIF model with large delay

  • Alethea Barbaro: TBA July 04 11:30 - 12:00

    Alethea Barbaro: TBA

  • Pedro Acevez Sanchez: TBA July 04 13:00 - 13:30

    Pedro Acevez Sanchez: TBA

  • Luca Ziviani: Sub-exponential tails in biased run and tumble equations with unbounded velocities July 04 13:30 - 14:00

    Luca Ziviani: Sub-exponential tails in biased run and tumble equations with unbounded velocities

  • Francis Filbet: Trend to equilibrium and diffusion limit for the inertial Kuramoto-Sakaguchi equation July 05 10:00 - 10:50

    Francis Filbet: Trend to equilibrium and diffusion limit for the inertial Kuramoto-Sakaguchi equation

  • Laura Kanzler: Modelling the evolution of the size-distribution in aquatic ecosystems July 05 11:00 - 11:30

    Laura Kanzler: Modelling the evolution of the size-distribution in aquatic ecosystems

  • Alain Blaustein: On the derivation of the bacterial run-and-tumble kinetic model July 05 11:30 - 12:00

    Alain Blaustein: On the derivation of the bacterial run-and-tumble kinetic model