# Workshop: Interacting Particle Systems in Mathematical Biology

**Dates: **July 25-28, 2022**Venue:** HIM lecture hall (Poppelsdorfer Allee 45, Bonn)

Organizers: Nadia Loy (Torino), Jaromir Sant (Warwick)

**Description:**

Interacting particle systems is a wide and growing field of probability that is devoted to the rigorous analysis of models arising within many disparate fields such as statistical physics, economics and biology. The structure, development and behaviour within biological systems may involve very complex phenomena that can be identified, understood and analysed through mathematical models. In particular, various temporal and spatial scales may be involved, ranging from individual based models (e.g. subcellular organisms, genome structure, or individual infection mechanisms) to population aggregate descriptions (e.g. tissue development and cancer, population genetics, or population epidemiology). At the individual microscopic level, biological phenomena are intrinsically subject to stochastic fluctuations and evolve in a random manner even though they respond to common mechanisms.

In this workshop we aim to gather researchers interested in interacting particle systems in mathematical biology, with a range of sessions focusing on stochastic analysis to describe biological phenomena, coagulation-fragmentation models, multiscale (from IBs to macroscopic) models for cell migration and chemotaxis, inference, ancestral processes in population genetics, and stochastic models of epidemiology.

You can find the schedule here.

You can find the abstract here.

# Video Recordings

# Day 1

Ellen Baake: Ancestral lines under selection and recombination

Tom Britton: Mathematical models for epidemics (including Covid-19)

Marco Seiler: The contact process on a dynamical long range percolation

# Day 2

Gisell Estrada: From kinetic to nonlocal PDEs for individual and collective migration.

Juan Jimenez-Sanchez: A discrete mesoscopic model for optimising temozolomide treatment

Yoan Tardy: Collisions of the supercritical Keller-Segel particle system

Julian Kern: A Fleming-Viot model with uctuating population size

# Day 3

Paul Jenkins: Weak convergence on non-eutral genealogies to Kingman's coalescent

Guillaume Kon Kam King: Exact inference for a class of non-linear hidden Markov models

# Day 4

Robin Stephenson: Scaling limits of multi-type Markov Branching Trees

Alice Callegaro: A spatially-dependent fragmentation process