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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


Applied mathematics seminar: Aggregation without attraction: Analysing collective dynamics of swimmers and tethered obstacles.

Presented by Angelika Manhart, UCL
28 October 2020 13:00 in

Aggregation phenomena in biology and beyond are often attributed to attraction between individuals. In this work we study how elastically tethered obstacles interacting with the swimmers impact the macroscopically created patterns. Simulations of an individual-based model reveal at least three distinct large-scale patterns: travelling bands, trails and moving clusters. This motivates the derivation of a macroscopic partial differential equations model, for which we assume large tether stiffness. The result is a coupled system of non-linear, non-local partial differential equations. We use linear stability analysis to predict pattern size from model parameters. Further analysis of the macroscopic equations reveal that, surprisingly, the obstacle interactions induce short-ranged swimmer aggregation, irrespective of whether obstacles and swimmers are attractive or repulsive.

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