We present several new results on the kinetic, i.e., mesoscale, level of a continuum–kinetic–microscopic approach to multiscale modeling of complex fluids. We choose the microscopic level as Kramers’ bead-rod model for polymers, which we describe as a system of stochastic differential equations with an implicit constraint formulation. The associated Fokker-Planck equation is then derived, and a...

In multiscale models of walking technicolor, relatively light color-singlet technipions are produced in qq̄ annihilation in association with longitudinal W and Z bosons and with each other. The technipions decay as π T → bb̄ and π T → cb̄. Their production rates are resonantly enhanced by technirho vector mesons with mass MW +MπT <∼ MρT <∼ 2MπT . At the Tevatron, these associated production rates ...

We study the effects of fast spatial movement of molecules on the dynamics of chemical species in a spatial heterogeneous chemical reaction network. The reaction networks we consider are either singleor multiscale. When the dynamics is on a single-scale, fast spatial movement has the single effect of averaging the dynamics over the distribution of all the species. However, when the dynamics is ...

Since typical industrial-scale reactors may contain many millions of bubbles, the extension of direct free-surface modelling techniques to resolve every bubble in the vessel would require far more computational power than will be available. A more immediate solution is to couple macro-scale reactor models to micro-scale models of individual bubbles and collections of a small number of bubbles. ...

The aim is to prove global existence and uniqueness of square integrable solutions to a class of multiscale models for tumour cell migration involving chemotaxis, haptotaxis, and subcellular dynamics. This approach allows the tissue fibre and cell densities as well as concentrations of chemotactic signals to be less regular and the conditions sufficient for well-posedness of the multiscale mode...

The adoption of new technology depends on various factors, such as the type of technology, the context or culture in which the technology is introduced, and the individual decisions by people within that culture. This work presents an approach that uses an agent-based model to encompass the detailed behavior of individuals and their immediate network of relationships, as well as an influence-ba...

The diagrammatic summary of the suggested multiscale modeling approach and its steps is presented in Figure S1. All the details of the UFF force fields [1–3] used for P3HT, P3BT, and PCBM molecules can be found in Tables S1 and S2, respectively, while numerical labels of all the interaction sites can be identified from Figure S2. Plots of 1D-RDFs of selected interaction sites are displayed in F...

Following the poor clinical results of antiangiogenic drugs, particularly when applied in isolation, tumour biologists and clinicians are now turning to combinations of therapies in order to obtain better results. One of these involves vessel normalisation strategies. In this paper, we investigate the effects on tumour growth of combinations of antiangiogenic and standard cytotoxic drugs, takin...

Many multiscale methods are based on the idea of extracting macroscopic behavior of solutions by solving an array of microscale models over small domains. A key ingredient in such multiscale methods is the boundary condition and the size of the computational domain over which the microscale problems are solved. This problem is systematically investigated in the present paper in the context of m...

During each ovarian cycle, only a definite number of follicles ovulate, while the others undergo a degeneration process called atresia. We have designed a multi-scale mathematical model where ovulation and atresia result from a hormonal controlled selection process. A 2D-conservation law describes the age and maturity structuration of the follicular cell population. In this paper, we focus on t...