Microstates to Macrodynamics: A New Mathematics of Biology
PI: Simon Levin with 15 Co-PIs: Peter Bates, Robert Bryant, Timothy Buchman, Jim Damon, Charlie Epstein, Michael Deem, Herbert Edelsbrunner, Richard Lenski, Jack Morava, Lior Pachter, Olivier Pourquie, Sorin Popescu, Bernd Sturmfels, Joshua Weitz, Ned Wingreen
The past decade has witnessed an explosion of interest in what mathematics can contribute to biology, and indeed a growing recognition that the power and promise of mathematical approaches must force a revolution in biological research and training. Mathematics is finally being recognized as providing indispensable tools for any biological scientist. However, mathematics is not new to biology: Mathematical constructs have for a century been at the core of such fields as population genetics, ecology, epidemiology and, more recently, neurobiology. In recent years, its successes have expanded to include cell biology, immunology, physiology and, especially, sequence analysis. Such successes have just scratched the surface; the integration of mathematics into biology is still in its infancy, and the time is right to build upon the successes of the past in order to elucidate the fundamental laws of biology through the power of mathematical analysis.
This proposed project will foster collaborations among leading mathematicians and biologists, building a community of researchers who will develop the new mathematics of biology, and discover fundamental unifying principles. This could not have been achieved a decade ago and may not happen for decades without a structure and program to bring these disparate groups together in dialogue and collaboration. We have thus assembled a unique team of experimental biologists eager to contribute to the development of mathematical foundations of their subject, and mathematicians eager to help create the mathematical tools that can shed new insights on these problems. The central biological questions involve scaling from cells to organisms to populations to ecosystems, with attention to robustness, collective phenomena, as well as the structure and dynamics of complex networks. The mathematical tools will be drawn from a wide spectrum, from dynamical systems to algebraic statistics to differential topology, from the deterministic to the stochastic, with full expectation that novel formalisms will be established as the project develops. This project, relying on leaders from mathematics and biology, will initiate a new dialogue unconstrained by past approaches and aim to fundamentally change the landscape of biology.
(pdf) Microstates to Macrodynamics |