Isaac Newton Institute for Mathematical Sciences

Finite to Infinite Dimensional Dynamical Systems

1 July - 31 December 1995

Organisers: P Constantin (Chicago), JD Gibbon (Imperial College, London), JK Hale (Georgia Tech), C Sparrow (Cambridge). ASI Organiser: P Glendinning (Cambridge)

Current Issues and Controversies in Biological Dynamics

27 November - 1 December 1995

Organiser: D.A.Rand (Warwick)

Information and Call for Registration

This workshop will take place as part of the Newton Institute programme, `From Finite to Infinite Dimensional Dynamical Systems'. A grant has been obtained from the Wellcome Trust in partial support of the workshop.<

The idea of this workshop is to bring together mathematicians and biologists to discuss a number of timely and exciting issues in biology where dynamics plays an important role. In bringing mathematicians and biologists together we are aiming to generate a serious discussion of the issues and underlying biological themes with attention to the role of mathematics; to educate the mathematicians about what are the really interesting biological questions; and to discuss the relevance of mathematics and dynamics to development of understanding.

We plan to spend two days on topic 1 and a day on each of the other topics with a morning of four 40 minute lectures and an afternoon of workshop presentations (5-10 minutes) and discussion (and perhaps one or two short lectures in some cases) around highlighted questions from the morning.

Programme (updated 22/11/95)

Monday, 27 November. The immune system and viruses

Tuesday, 28 November. The immune system and viruses

Wednesday 29 November. Pattern Formation

Thursday, 30 November. Ecological dynamics.

The session on climate-biology interaction has been cancelled. Instead we intend to use this day for informal activities and discussion arising from the week's activities.

1. Viruses and the Immune System (Mon 27 and Tue 28 Nov)

To include: What can we learn about the immune systems by exploring virus infections? A discussion of competing theories and ideas about the variability of the within-host dynamics of AIDS. What are the central issues about the immune system as a dynamical system? What is the role for theory and mathematical modelling in immunology?

Speakers and other invitees: R. Anderson (Zoology, Oxford), C. Bangham (John Radcliffe, Oxford), R. de Boer (Utrecht), S. Bonhoeffer (Zoology, Oxford), S. Gupta (Zoology, Oxford), A. Leigh Brown (Biology, Edinburgh), M. Kauffmann (Chimie-Physique, Brussels), R. May (Oxford/Imperial), A. McLean (Pasteur), M. Nowak (Zoology, Oxford), A. Perelson (Los Alamos), L. Segal (Weizmann), E. Szathmary (Budapest).

2. Pattern Formation (Wed 29 Nov).

Do prepatterns exist outside models? Turing's early ideas on chemical prepatterns in development predate all knowledge of molecular genetics, and yet his ideas continue to have a strong influence on biological thinking. Recent mathematical modelling emphasises the way in which a hierarchy of successively more complex patterns can develop from a simple initial prepattern, but it is often hard to relate this modelling to the rapid, specific progress in developmental genetics. Are there real developmental systems in which morphogens play a role, or are they just a convenient modelling tool which are biologically outdated? How can models help in understanding the central role of hox genes in development? What are the basic mathematical questions posed by developmental biology in the molecular genetics era?

Speakers and other invitees: B. Goodwin (Open), T. Horder (Anatomy, Oxford), J. Lewis (ICRF Developmental Unit, Oxford), J. Slack (ICRF Developmental Unit, Oxford), J. Sherratt (Warwick), D. Summerbell (NIMR, London), L. Wolpert (Biology, UCL).

3. Chaos in Ecology and Epidemics: Reality or Fiction? (Thu 30 Nov)

What is the status of chaos in biology and what are the solid achievements. Where is the data? What have we learned from the application of nonlinear data-analysis to biological data?

Speakers and other invitees: S. Ellner (North Carolina State), C. Godfray (Imperial), B. Grenfell (Cambridge), I. Hanski (Finland), V. Isham (UCL), S. Levin (Princeton), A. Lloyd (Zoology, Oxford), R. May (Oxford/Imperial), H. Metz (Leiden), S. Pacalla (Princeton), R. Sol'e (Barcelona), H. Tong (Kent).

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