Injuries in trauma affect anatomical structures, indirectly affecting physiological systems through mechanical behavior and physical proximity. This paper describes the theory for and preliminary results from our approach to couple a three-dimensional (3-D) anatomical model of the chest with a physiological model of respiratory mechanics. In particular, we investigated behavior in quiet, normal...

Studying the mechanics of swirling water has solved a mystery about the evolution of body shape and size in jellyfish.

Restricted Boltzmann machines (RBMs) are a class of neural networks that have been successfully employed as variational ansatz for quantum many-body wave functions. Here, we develop an analytic method to study spin states encoded by random RBMs with independent and identically distributed complex Gaussian weights. By mapping the computation ensemble-averaged quantities statistical mechanics mod...

We show that the minimization of the Lagrangian action functional on suitable classes of symmetric loops yields collisionless periodic orbits of the n-body problem, provided that some simple conditions on the symmetry group are satisfied. More precisely, we give a fairly general condition on symmetry groups G of the loop space Λ for the n-body problem (with potential of homogeneous degree −α, w...