Name of the organizing community : Centre for Applied Mathematics in Bioscience and Medicine/NSERC-CREATE in Complex Systems
Living systems are typical examples of dynamical systems with many interrelated parts or subsystems, from small-scale cellular relationships to large-scale population relationships. Nonlinear dynamics arise when the behaviour of one subsystem, with its own dynamics, becomes the input for another subsystem, imposing certain constraints on its dynamics. Mathematics, physics, and the computational sciences have contributed important theoretical developments to the understanding of how nonlinear dynamics explain behaviour in a wide range of disciplines in natural sciences, social sciences, and life sciences, based on common principles arising from differential equations. Nonlinear dynamics underlie the developmental trajectory of living organisms; the spread of information in neural networks and disease in populations; and the prediction of evolving ecosystems in changing environments. While different challenges arise in each research area, the required quantitative models are shared across areas. These models, accompanied by statistical and computational tools, provide young scientists with a platform to understand the dynamics of their systems and to guide new experiments.
In this 2-week online summer school, hosted by the Centre for Applied Mathematics in Bioscience and Medicine as well as the NSERC-CREATE in Complex Dynamics at McGill University (Montreal), we aim to provide a new generation of internationally recruited trainees with the fundamental tools of this field as well as to deliver lectures devoted to recent advancements made in nonlinear dynamics, including: machine learning applications; computational neuroscience developments; cellular physiology implications; and infectious disease (COVID-19) and communication transmission.