American Institute of Mathematics, Palo Alto, California
Alicia Dickenstein, Jeremy Gunawardena, and Anne Shiu
Recent developments have suggested that mathematical analysis of such networks may be feasible, using methods from computational algebra, algebraic geometry and dynamical systems. For instance, one class of dynamical systems, coming from mass-action kinetics, gives rise to polynomial dynamical systems. Here, the biologically-relevant steady states are the positive real solutions to a system of polynomial equations and from computational algebra and algebraic geometry have been used to shed light on steady-state behaviour. Difficult questions still remain regarding the transient dynamics and generalisations to non mass-action systems.
The primary aim of this workshop is to bring together mathematicians as well as researchers who are closer to the experimental side of systems biology, in order to formulate precise open problems and to explore appropriate mathematical methods to tackle them. We hope to sustain an open dialogue between theory and experiment, so that they may continue to stimulate each other. Among the problems we may consider initially are the following.
The workshop schedule.
A report on the workshop activities.