MOTIVATION The cost of molecular quasi-statics or dynamics simulations increases with the size of the simulated systems, which is a problem when studying biological phenomena that involve large molecules over long time scales. To address this problem, one has often to either increase the processing power (which might be expensive), or make arbitrary simplifications to the system (which might bi...

Progress in developing a web-based Statics course through foundation support is reported. This course is part of a larger initiative that seeks to create and sustain freely available, cognitively informed learning tools designed to provide a substantial amount of instruction through the digital learning environment. Courses are interactive and self-correcting, by providing substantial feedback ...

We present some of the results obtained during the last 8 years about complex networks. Starting with the collection of data in the form of networks or graphs, we proceed on the characterization at different scales: microscopic, macroscopic, and mesoscopic. We introduce also the basic models incorporating complexity in the pattern of connectivities. Finally we review some results on dynamical f...

In this study we define and solve the traffic statics problem in an open diverge-merge network based on a multi-commodity kinematic wave model, whose entropy conditions are given by invariant flux functions derived from macroscopic merging and diverging rules. In this problem, we are interested in finding stationary states on all links when origin demands, destination supplies, and route choice...

An Extension of Comparative Statics to a General Class of Optimal Choice Models