Multiscale modeling of calcified hydrogel networks

Multiscale modeling

Principles of Multiscale Modeling

Multiscale Modeling of Malaria

Parasitic infectious diseases like malaria and certain hereditary hematologic disorders are often associated with major changes in the shape and viscoelastic properties of red blood cells. Such changes can disrupt blood flow and, possibly, brain perfusion, as in the case of cerebral malaria. In recent work on stochastic multiscale models—in conjunction with large-scale parallel computing—we wer...

Modeling Temporal Evolution and Multiscale Structure in Networks Supplementary Material

The proof of these claims mainly relate to the properties of the prior, The first two claims follow easily in that the generative procedure makes no specific reference to vertex labeling and only depend on the ordering of temporal states, and the last claim follow from the change-point prior being less correlated across longer time spans. The fifth claim follows easily from the fourth by projec...

Modeling Temporal Evolution and Multiscale Structure in Networks

Many real-world networks exhibit both temporal evolution and multiscale structure. We propose a model for temporally correlated multifurcating hierarchies in complex networks which jointly capture both effects. We use the Gibbs fragmentation tree as prior over multifurcating trees and a change-point model to account for the temporal evolution of each vertex. We demonstrate that our model is abl...