contact mechanics is related to the deformation study of solids that meet each other at one or more points. the physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. contact mechanics gives essential information for the s...

introduction: attachment of blood and tissue cells to the extracellular matrix (ecm) is done with the help of specific joints, which are made between cells’ receptors and matrixes’ ligands. this interaction is vital for many biological activities such as cell migration, cancer development, and wound healing. the purpose of this study is to model a 3-dimensional cell by abaqus commercial softwar...

Continuum percolation for Markov (or Gibbs) germ-grain models in dimension 2 is investigated. The grains are assumed circular with random radii on a compact support. The morphological interaction is the so-called Quermass interaction defined by a linear combination of the classical Minkowski functionals (area, perimeter and Euler-Poincaré characteristic). We show that percolation occurs for any...

Transcription occurs in stochastic bursts. Early models based upon RNA hybridisation studies suggest bursting dynamics arise from alternating inactive and permissive states. Here we investigate bursting mechanism in live cells by quantitative imaging of actin gene transcription, combined with molecular genetics, stochastic simulation and probabilistic modelling. In contrast to early models, our...

Continuum Widom-Rowlinson model: In the beginning of seventies, a great progress has already been made in understanding equilibrium phase transitions and critical phenomena in classical (i.e. non-quantum) lattice models, where basic elements are localized on vertices of a regular discrete structure and interact with their nearest neighbors. The lattice gas analogy [1] of Onsager’s exact solutio...

In this paper, we present a new control strategy for continuous backbone (continuum) ”trunk and tentacle” robots. Control of this emerging new class of robots has proved difficult due to the inherent complexity of their dynamics. Using a recently established full dynamic model, we introduce a new nonlinear model-based control strategy for continuum robots. The approach is applicable to continuu...

Two dimensional string theory is known to have an infinite dimensional symmetry, both in the continuum formalism as well as in the matrix model formalism. We develop a systematic procedure for computing the conserved charges associated with these symmetries for any configuration of D-branes in the continuum description. We express these conserved charges in terms of the boundary state associate...

Coupling methods for continuum models with molecular models are developed. Two methods are studied here: an overlapping domain decomposition method, which has overlapping domain, and an edge-to-edge decomposition method, which has an interface between two models. These two methods enforce the compatibility on the overlapping domain or interface nodes/atoms by the Lagrange multiplier method or t...

A new class of matching conditions between the atomistic and continuum regions is presented for the multiscale modeling of crystals. They ensure the accurate passage of large scale information between the atomistic and continuum regions and at the same time minimize the reflection of phonons at the interface. These matching conditions can be made adaptive if we choose appropriate weight functio...

We present results from NLO QCD calculations on the production of jets in ep collisions at HERA in a continuous range of photon virtuality Q. Special attention is given to the collinear singularities from the virtual photon and the resolved virtual photon component of the cross sections. Comparisons with dijet data from H1 are shown and the infrared sensitivity of dijet cross sections is discus...