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SUMMARY:Workshop "Mathematical biology across scales: from interacting par
 ticle models to PDEs via kinetic theory" [HIM Workshop]
DTSTART:20270315T080000Z
DTEND:20270319T150000Z
DTSTAMP:20260716T194300Z
UID:indico-event-1170@math-events.uni-bonn.de
DESCRIPTION:Speakers: Kanami Ueda\, Emma Seggewiss (HCM)\n\nThis workshop 
 is aimed at the participants in the Junior Trimester Program "Renewal Equ
 ations\, PDEs and non-equilibrium systems in biological modelling". It is
  not possible to apply only for this workshop. \nGroup leaders: \n\nInma
 culada Benitez\nViktoria Freingruber\nAlexandra Holzinger\nNiccolo Tassi\n
 \nDescription:\nBiological systems are inherently multiscale: complex coll
 ective behaviours emerge from the interactions of many individual agents. 
 Depending on the modelling framework\, agents may be described solely by m
 echanical variables such as position and velocity\, or may additionally ca
 rry internal states. Mathematical models of such systems therefore natural
 ly span several levels of description\, ranging from stochastic interactin
 g particle models of McKean type and individual-based models to kinetic eq
 uations and macroscopic partial differential equations.\nThis workshop foc
 uses on the mathematical links between these modelling scales\, with empha
 sis on kinetic theory and stochastic scaling limits — powerful tools to 
 connect microscopic agent dynamics to continuum PDE descriptions. Applicat
 ions include but are not limited to structured population dynamics\, colle
 ctive animal behaviour\, neuronal networks\, and coagulation–fragmentati
 on processes.\nA central objective of the workshop is to bring together re
 searchers working on analytical\, numerical and stochastic perspectives. B
 y fostering dialogue between these communities\, we aim to promote a deepe
 r understanding of the connections between probabilistic particle systems\
 , kinetic theory\, and macroscopic PDE models. In particular\, we will exp
 lore both classical and recent analytical\, probabilistic\, and numerical 
 methods\, including scaling limits\, ergodicity and hypocoercivity methods
 .\n\nhttps://math-events.uni-bonn.de/event/1170/
URL:https://math-events.uni-bonn.de/event/1170/
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