Theory and applications of coupled cell networks

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Workshop theme

A coupled cell system is a dynamical system distributed over the nodes of a network: to each node (or 'cell') we attach a phase space and evolution equations that describe the local dynamics. Such a partitioning leads to the notions of symmetry and synchrony. Examples of coupled cell systems include central pattern generators, genetic regulatory networks, neural circuits and social networks. In many cases recent work has provided detailed information showing that the network structure is highly complicated. The challenge now is to complement new physical and biological understanding of network structures with a mathematical understanding of their dynamics.

The conference will focus on:

Dynamics (synchronisation, pattern formation, chaotic behaviour, heteroclinic dynamics)
The influence of network architecture and topology (symmetry groups and groupoids, motifs)
Application to and inspiration from physics and biology (cell cycle control, neural dynamics, travelling waves)

This workshop is supported by EOARD, ONRGlobal and EPSRC

Timetable

Monday 26th September 2005
08:30 to 09:45	Registration	No Room Required
09:45 to 10:00	Welcome	Room 1
10:00 to 11:00	Martin Golubitsky University of Houston Dynamics in coupled identical cell systems	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Mikhail Rabinovich University of California, San Diego Winnerless competition (WLC) principle in neuroscience	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Oleksandr Popovych Development of novel deep brain stimulation technique: coordinated reset and nonlinear delay feedback	Room 1
15:00 to 15:30	Tsuyoshi Chawanya Osaka University Long time correlation due to high-dimensional chaos in globally coupled tent map system	Room 1
15:30 to 16:00	Tea	No Room Required
16:00 to 17:00	Stephen Coombes University of Nottingham Bumps, breathers and waves in a neural network with threshold accommodation	Room 1
17:00 to 18:30	Wine Reception and Poster Session	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 27th September 2005
09:00 to 10:00	Josef Hofbauer University College London On the repressilator	Room 1
10:00 to 11:00	Peter Ashwin University of Exeter Oscillator dynamics and discrete computation	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Michael Cross CALTECH (California Institute of Technology) Models of coupled nanomechanical oscillators	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Andre Longtin University of Ottawa How spatiotemporal correlations of stimuli drive network dynamics and information transfer	Room 1
15:00 to 15:30	Ramon Huerta University of California, San Diego Dynamical gain control for odor recognition in insect olfaction	Room 1
15:30 to 16:00	Tea	No Room Required
16:00 to 16:30	David Hansel Rate models with delays and the dynamics of large networks of spiking neurons	Room 1
16:30 to 17:00	Sofia Castro Interaction of economic agents and coupled cell systems	Room 1
17:00 to 17:30	Ana Dias Universidade do Porto Linear and ODE-equivalence for coupled cell networks	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 28th September 2005
09:00 to 10:00	Paul Glendinning Manchester Metropolitan University Minimal dynamics and one way coupling	Room 1
10:00 to 11:00	Network dynamics and cell physiology	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Kunihiko Kaneko University of Tokyo Magic number 7+-2 in dynamical systems and milnor attractors; relevance to cell differentiation and development?	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Konstantin Mischaikow Georgia Institute of Technology Computational homology in nonlinear dymanics	Room 1
15:00 to 15:30	Patterns of synchrony in lattice dynamical systems	Room 1
15:30 to 16:00	Tea	No Room Required
16:00 to 16:30	Bifurcation of heteroclinic cycles in Kuramoto model of globally coupled oscillators	Room 1
16:30 to 17:00	Nick Monk University of Sheffield The effects of time delays in models of cellular pattern formation	Room 1
17:00 to 17:30	Stella Abreu Universidade do Porto Symmetric chaos in a local codimension two bifurcation	Room 1
19:30 to 18:00	Conference Dinner - Lucy Cavendish College (Dining Hall) Pre-dinner drinks @ 19:00	No Room Required

Thursday 29th September 2005
10:00 to 11:00	A spike-diffuse-spike model of a dendritic cable with active spines	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Uri Alon University of California, Irvine and Weizmann Institute of Science Design principles of biological systems	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Jonathan Rubin University of Pittsburgh A geometric analysis of oscillator recruitment	Room 1
15:00 to 15:30	Yuri Maistrenko High-dimensional chaos versus synchronization in the Kuramoto model	Room 1
15:30 to 16:00	Tea	No Room Required
16:00 to 16:30	Hiroshi Kori Entrainment of randomly coupled oscillator networks	Room 1
16:30 to 17:00	Synchronisation and clustering in a multimode quantum dot laser	Room 1
17:00 to 17:30	Manuela Aguiar Universidade do Porto Minimal coupled cell networks	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Friday 30th September 2005
10:00 to 11:00	Arkady Pikovsky Universität Potsdam Phase compactons in nonlinear oscillator lattices	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Michael Field University of Houston Heteroclinic cycles and dynamics in coupled cell systems	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:30 to 15:30	Kresimir Josic University of Houston The impact of architecture on the structure of solutions in networks of phase oscillators	Room 1
15:30 to 16:00	Tea	No Room Required
16:00 to 16:30	Sten Ruediger Numerical simulation of intracellular Ca2+ dynamics	Room 1
16:30 to 17:00	Fatihcan Atay Network topology and delay-induced oscillator death	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Theory and applications of coupled cell networks

Speakers

Stella Abreu Universidade do Porto
Manuela Aguiar Universidade do Porto
Uri Alon University of California, Irvine and Weizmann Institute of Science
Peter Ashwin University of Exeter
Fatihcan Atay
Sofia Castro
Tsuyoshi Chawanya Osaka University
Stephen Coombes University of Nottingham
Michael Cross CALTECH (California Institute of Technology)
Ana Dias Universidade do Porto
Michael Field University of Houston
Paul Glendinning Manchester Metropolitan University
Martin Golubitsky University of Houston
David Hansel
Josef Hofbauer University College London
Ramon Huerta University of California, San Diego
Kresimir Josic University of Houston
Kunihiko Kaneko University of Tokyo
Hiroshi Kori
Andre Longtin University of Ottawa
Yuri Maistrenko
Konstantin Mischaikow Georgia Institute of Technology
Nick Monk University of Sheffield
Arkady Pikovsky Universität Potsdam
Oleksandr Popovych
Mikhail Rabinovich University of California, San Diego
Jonathan Rubin University of Pittsburgh
Sten Ruediger

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Theory and applications of coupled cell networks

Workshop theme

Timetable

Speakers

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