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Growth form and self-organisation

Participation in INI programmes is by invitation only. Anyone wishing to apply to participate in the associated workshop(s) should use the relevant workshop application form.

22nd August 2017 to 20th December 2017

Organisers: Arezki Boudaoud, Robert Dudley, Andrzej Herczynski, Darryl Holm, Eric Lauga, Jean-Luc Thiffeault

Programme Theme

This programme, planned on the 100th anniversary of On Growth and Form by D’Arcy Thompson, will endeavour to bring various contemporary strands of research related to shape selection, deformations, and self-organisation into focus. The aim is to stimulate new collaborations between mathematicians, biologists, physicists, and other scholars or creators whose work concerns or employs evolution of form, broadly understood. It will thus provide opportunities for cross-pollination of ideas within and across disciplines on various aspects of shape dynamics in diverse contexts and at diverse scales.

Topics include scaling laws in biology, morphogenesis and growth, collective behaviour, propulsion mechanisms, aggregation and self-organisation, folding, stretching, mixing, topological fluid dynamics, and artificial networks. New mathematical approaches, such as shape analysis and computational anatomy, will be emphasized and applied to growth and form of a variety of complex living and inanimate systems. Mathematical tools will also be brought to bear on a whole range of inter-disciplinary problems: from image analysis to medical diagnosis, study of paintings, and mechanical toys. 

The four principal areas of the programme are:

  1. Form and deformation in solid and fluid mechanics
  2. Growth, form, and self-organisation in living systems
  3. Shape analysis and computational anatomy
  4. Form in art, toys, and games
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons