Fields Notes 17:3 | Page 9

FOCUS PROGRAM Multi-scale Modelling of Wave Structures in Tissues From August 28 to October 6, 2017, theoretical and experimental researchers in the areas of mathematical modelling, neuroscience, and biophysics gathered at the Fields Institute to develop new ideas and perspectives that can radically push forward the understanding of wave structures in the brain. The program included three one-week long workshops, namely Wave Transport of Ionic Species, Waves in Neural Media, and Uncertainty Quantification (UQ) and Parameter estimation: High Dimensional Manifolds, which included a mixture of interesting seminars and lively discussions. The first workshop contained very valuable interactions between mathematicians and engineers with substantial cross-fertilisation of ideas. The second workshop benefitted substantially from the participation of K.C. Brennan, a clinician specialising in brain phenomena associated with migraines, and a number of extremely promising discussions arose from his talk. The third workshop contained a set of lectures from Pierre Gremauld along with seminars and research discussions. There was also a Lecture Series on Mathematical and Computational Techniques for Life Sciences whose aim was to train graduate students and young researchers in the relevant modelling skills. The series was given by Tim David who provided the participating students and postdocs with a comprehensive background in the mathematical modelling of biological systems. directions arose as a direct result of this program, including understanding how uncertainty quantification can be applied to models related to calcium propagation, consistently homogenising the equations for neural ion transport, developing a theory for ionic transport within a cell that is subjected to ion transport across its membrane, and developing a theory to explain calcium oscillations that have been observed in the experiments of one of the participants. We believe that the program was particularly useful for students and young researchers. They all participated very actively in the Lecture Series on Mathematical and Computational Techniques for Life Sciences and gained valuable experience in both modelling and computational techniques. In summary, the program was very successful and we hope to run a short follow-up meeting in approximately two years time.  — Tim David, Sivabal Sivaloganathan, Jonathan Wylie The program attracted a diverse mix of participants from a wide range of backgrounds including mathematicians, clinicians, experimentalists, physicists and engineers. Of the 43 participants, eight were graduate students, seven were postdoctoral researchers, and 11 identified as female. In addition participants were based in ten different countries including two students of Maori heritage all the way from New Zealand. A number of promising new collaborations and research 9