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Control of macroscopic neuronal network activity is optimal at criticalityThere is growing evidence that the cortex operates at a critical state where the strength of excitatory and inhibitory neurons is precisely balanced. Recent research has shown

Will KleiberThe challenge of creating historical weather products for the United StatesAbstract: Historical gridded weather products are critical components in climate, hydrologic and ecologic applications. A large number of historical

Wave initiation thresholds in neural fields: An interface dynamics approachTraveling waves of neural activity have been observed in vitro and in vivo, resulting for instance from sensory inputs at nucleate outward propagating fronts. However,

Stephen BeckerImaging, Optimization and RandomnessWe will take a look at some of the work going in my research group, including work on super-resolution imaging problems (and their associated ill-conditioned optimization formulations), robust

Velocity and Vorticity in the Right Human HeartRecent advances in time-resolved 3D cardiac magnetic resonance imaging (4DMRI) have allowed for the 3-dimensional, 3-component characterization of blood flow in the right ventricle (RV) and right atrium

A Dynamic Equilibrium Model for Brokerage FeesWe  develop a dynamic equilibrium model for market liquidity. To wit, we solve for the equilibrium prices at which liquidity takers' demands are absorbed by liquidity providers, who can in turn

Geometry of Discrete Integrable SystemsMany interesting examples of discrete integrable systems can be studied from the geometric point of view. In this talk we will consider two classes of examples of such system: autonomous (QRT maps) and non-

Lewis Baker, Department of Applied Mathematics, University of ÃÛÌÇÖ±²¥ BoulderRules Rule! Rule-Based Modeling in BiochemistryRule-based modeling is becoming increasingly recognized for its potential to heuristically simplify problems involving large

Modeling Arctic Sea IceThe pack ice is effected by both thermodynamic and mechanical processes. Thermodynamic processes result in mass changes at the atmosphere and ocean boundaries.  These processes are coupled with mechanical properties that

Investigations of asymptotic models for convection-driven flows in astrophysical and geophysical fluidsGeophysical flows, such as the turbulent motion within the Earth’s liquid iron outer core, are characterized by a wide range of spatial and