Centre for Systems, Dynamics and Control

We welcome Dr George Datseris who has won a Royal Society Newton Internation Fellowship hosted at the University of Exeter for the next two years. We also welcome Andreas Morr who will be visiting from PIK (Postdam) from January to April 2023.

We are pleased to announce the programme for the fifteenth Mathematics in Life Sciences (MiLS) meeting.

The meeting will focus on “Linking mathematics, experiments and data” and will take place on the 8-9th March 2023 from 11:30 (8th March) to 13:30pm (9th March) in the Harrison Building. Attendance to the meeting is free of charge, but we kindly ask you to register your intention to attend by filling out the registration form here: https://forms.office.com/e/dvFcGyKgmx

We are planning to have a poster session on 8th March. If you are interested in presenting a poster, please let us know when emailing to register.

This meeting is generously supported by the London Mathematical Society and the EPSRC Hub for Quantitative Modelling in Healthcare.

Programme

8th March am – Harrison 209

11:30 Arrival and coffee

11:45 Prof. Simon Schultz (Imperial College London)
“Neural manifold analysis of brain circuit dynamics in health and disease”

12:30 Catered lunch

8th March pm – Harrison 103

13:30 Dr Lucia Marucci (University of Bristol)
“Programming cells: from models to data and back”

14:15 Prof. Orkun Soyer (University of Warwick)
“Co-substrate dynamics in metabolism: from theory to experiments?”

15:00 Tea & coffee

15:30 Prof. Thomas Nowotny (University of Sussex)
“Testing mathematical models in hybrid systems experiments.”

16:15 Poster session

18:00 Pub trip

9th March – Harrison 170

09:30 Prof. Aneta Stefanovska (Lancaster University)
“Is non-autonomous dynamics in mathematics sufficient to describe open systems in physics? Lessons from cellular, cardiovascular and brain dynamics”

10:15 Discussion session & breakout on opportunities and challenges in integrating experiments and models

11:00 Tea & coffee

11:30 Rebecca Poon (University of Exeter)
“Dynamics of ciliary coordination in marine invertebrate larvae.”

12:15 Catered lunch

13:30 Close

This 1-day workshop will run in-person on Monday 14th November.

Details, programme and how to register are on:

Tipping and Related Phenomena workshop

You may be interested in a joint meeting between Exeter’s EPSRC Hub for Quantitative Modelling for Healthcare (HQMH) and the Centre for Medical Mycology (CMM). The purpose of this meeting between the CMM and HQMH is to highlight ongoing research in both domains with a view to identifying potential synergies and collaborations between groups.

More details and registration are on:

https://www.exeter.ac.uk/news/events/details/index.php?event=12433

We welcome Kerstin Lux (TU Munich) and George Datseris (MPI Hamburg) who are researchers visiting Exeter and the Centre for Systems, Dynamics and Control for several weeks this autumn.

There will be a further collaborative Virtual Workshop on Dynamical Systems on Wednesday 12th October 2020, 8-10pm (UK), Thursday 13th October, 8-10am (NZ).

• 8:00-8:20 Yuri Bakhtin (NYU) “Rare transitions in noisy heteroclinic networks”
• 8:20-8:40 George Datseris (Hamburg/Exeter) “Methods and software for estimating basins of attraction of arbitrary dynamical systems”
• 8:40-9:00 Lauren Smith (Auckland) “Swarmalators with second order phase coupling: Syncing, swarming and clustering”
• 9:00-10:00 Virtual reality poster session

All welcome! Please register your interest using this form:

https://forms.gle/SSgqUmckZA7xZ17n6

We welcome posters: these will be hosted in a virtual reality poster room using Mozilla Hubs. You can contact one of the organizers if you have any questions.

Peter Ashwin (Exeter)

Claire Postlethwaite (Auckland)

Abstracts:

Yuri Bakhtin “Rare transitions in noisy heteroclinic networks”. We study white noise perturbations of planar dynamical systems with heteroclinic networks in the limit of vanishing noise. We show that the probabilities of transitions between various cells that the network tessellates the plane into decay as powers of the noise magnitude, and we describe the underlying mechanism. A metastability picture emerges, with a hierarchy of time scales and clusters of accessibility, similar to the classical Freidlin-Wentzell picture but with shorter transition times. We discuss applications of our results to homogenization problems and to the invariant distribution asymptotics. At the core of our results are local limit theorems for exit distributions obtained via methods of Malliavin calculus. Joint work with Hong-Bin Chen and Zsolt Pajor-Gyulai.

George Datseris “Methods and software for estimating basins of attraction of arbitrary dynamical systems”

Lauren Smith “Swarmalators with second order phase coupling: Syncing, swarming and clustering”. Coupled oscillators have been widely studied, with applications including brain and heart dynamics. Synchronisation is common to coupled oscillator networks, such that oscillators align temporally. Swarming behaviours have also been widely studied, such that independent agents aggregate spatially. For example, the flocking of birds or the schooling of fish. Here we consider a generalisation of the swarmalator model (O’Keeffe et al., Nat. Comm., 2017) in which particles termed “swarmalators” have both swarming spatial dynamics and oscillatory phase dynamics. A real-life example of swarmalators is sperm cells, whose oscillating tails create hydrodynamic forces that can lead to clustering. The swarmalator model has two-way coupling between the spatial and phase dynamics. The generalisation proposed here is to include the second harmonic in the phase coupling function. This yields many new phenomena, including anti-phase clustering, anti-phase segregation, and states with two large anti-phase clusters plus a small group of swarmalators that vacillate between them. Through mean-field reductions, critical sets of bifurcation parameters are analytically identified which agree with bifurcations observed in the full system.

The next one day ergodic theory meeting (funded by the LMS scheme 3 grant between Birmingham University, Bristol University, Exeter University, Loughborough University, Manchester University, Queen Mary, St. Andrews University, and Warwick University ) will be at Exeter on Wednesday the 15th June, organised by Demi Allen and Mark Holland.

Schedule and further details of the meeting are at https://sites.google.com/view/demi-allen-mathematics/one-day-ergodic-theory-meeting-exeter-15-june-2022.