Collective dynamics in networks with non-uniformly distributed heterogeneities

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• Daniel Galvis, University of Birmingham
• Monday 24 October 2022, 14:00-15:00
• Biosciences E-102.

If you have a question about this talk, please contact Dr Pradeep Keshavanarayana.

Over recent years, high-speed multi-cellular recordings from beta-cell networks within pancreatic islets has allowed for the study of diffusive coupling and coordination in heterogeneous networks of order 10^3 bursting cells. To this end, we have developed a mathematical model for studying the effects of spatial distribution of excitability on the global dynamics of a diffusively-coupled network embedded in a three-dimensional space. In this work, we focus on two subpopulations of oscillators, one intrinsically-active and the other inactive. I will first discuss the development of measures for spatial sortedness as well as procedures to iteratively adapt this sortedness in the network. I will then discuss the implications of the resulting spatial non-uniformity on propensity of the network to exhibit globally coordinated oscillations. The goal of this work is to better understand how heterogeneity across several dimensions (coupling, excitability, and spatial distribution) can influence dynamic coordination in diffusively-coupled oscillator networks.

This talk is part of the Applied Mathematics Seminar Series series.

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• Biosciences E-102
• Applied Mathematics Seminar Series
• School of Mathematics events

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