BioMath
The Defense Advance Research Projects Agency ( DARPA ) is offering support for resolve 23 mathematical problems, you can read the full rules here (sorry it's a DOC). This is the problems they want to solve: The Mathematics of the Brain . Develop a mathematical theory to build a functional model of the brain that is mathematically consistent and predictive rather than merely biologically inspired. The Dynamics of Networks. Develop the high-dimensional mathematics needed to accurately model and predict behavior in large-scale distributed networks that evolve over time occurring in communication, biology and the social sciences. Capture and Harness Stochasticity in Nature. Address Mumford’s call for new mathematics for the 21st century. Develop methods that capture persistence in stochastic environments. 21st Century Fluids. Classical fluid dynamics and the Navier -Stokes Equation were extraordinarily successful in obtaining quantitative understanding of shock waves, turbulence an