Soot: A review of computational models at different length scales

Modelling of bone fracture and strength at different length scales: a review.

In this paper, we review analytical and computational models of bone fracture and strength. Bone fracture is a complex phenomenon due to the composite, inhomogeneous and hierarchical structure of bone. First, we briefly summarize the hierarchical structure of bone, spanning from the nanoscale, sub-microscale, microscale, mesoscale to the macroscale, and discuss experimental observations on fail...

Soil Landscape Models at Different Scales Portrayed

Origin of gradient terms in plasticity at different length scales

The origins of gradient terms in plasticity are discussed for three different cases related to atomic distance, dislocations, and finite grain size. 2002 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.

Network science of biological systems at different scales: A review.

Network science is today established as a backbone for description of structure and function of various physical, chemical, biological, technological, and social systems. Here we review recent advances in the study of complex biological systems that were inspired and enabled by methods of network science. First, we present research highlights ranging from determination of the molecular interact...

Linear Models of Different Scales

Many statistical models for environmental studies can be run at different scales, e.g., for daily, weekly or monthly data. It is important to know how these models differ in terms of prediction. We provide some theoretical results to compare these models. We show that when there is no high order terms of explanatory variables, the small scale model yields more efficient estimators for model par...