Multiscale modelling of nanomechanics and micromechanics: an overview

Hierarchial Models of Nanomechanics and Micromechanics

An overview of theoretical and computational methods in the rapidly advancing field of Nanomechanics and Micromechanics of materials is given. This overview emphasizes the Multiscale Modelling of Materials (MMM) approach, which relies on a reduction of the degrees of freedom at natural length scales. Two main challenges are identified in the MMM approach: (i) the computational complexity of ful...

Modelling Cochlear Micromechanics

The cochlea is an organ of the hearing system, whose basic function is to map sounds of different frequencies onto corresponding characteristic positions along the basilar membrane (BM). Sound-induced BM vibration is transformed into deflection of stereocilia on the hair cells, which then encodes the sound as neural signals for perception. Most cochlear models used to describe the BM vibration ...

Multiscale modeling of the nanomechanics of microtubule protofilaments.

Large-size biomolecular systems that spontaneously assemble, disassemble, and self-repair by controlled inputs play fundamental roles in biology. Microtubules (MTs), which play important roles in cell adhesion and cell division, are a prime example. MTs serve as ″tracks″ for molecular motors, and their biomechanical functions depend on dynamic instability-a stochastic switching between periods ...

Modelling and Simulation: An Overview

* The authors are grateful to the numerous reviewers for their speedy and efficiency, and to Ellen Young and France Pinon for substantial assistance in the preparation of this volume. Abstract The papers in this special issue of Mathematics and Computers in Simulation cover the following topics: improving judgmental adjustment of model-based forecasts, whether forecast updates are progressive, ...

Modelling Copulas: An Overview