PURPOSE The cardiovascular system (CVS) regulation can be studied from a central viewpoint, through heart rate variability (HRV) data, and from a peripheral viewpoint, through laser Doppler flowmetry (LDF) signals. Both the central and peripheral CVSs are regulated by several interacting mechanisms, each having its own temporal scale. The central CVS has been the subject of many multiscale stud...

Based on the wavelet-defined multiscale random noise proposed in [2], a multiscale version of the stochastic quantization procedure is considered. A new type of the commutation relations emerging from the multiscale decomposition of the operator-valued fields is derived.

We present a reusable solution that supports users in combining single-scale models to create a multiscale application. Our approach applies several multiscale programming tools to allow users to compose multiscale applications using a graphical interface, and provides an easy way to execute these multiscale applications on international production infrastructures. Our solution extends the gene...

In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not intended to be comprehensive. We present a general adaptive multiscale model reduction framework, the Generalized Multiscale Finite Element Me...

The “equation-free” approach has been proposed in recent years as a general framework for developing multiscale methods for efficiently capturing the macroscale behavior of a system using only the microscale models. In this paper, we take a close look at some of the algorithms proposed under the “equation-free” umbrella, the projective integrators and the patch dynamics. We discuss some very si...

Broad-scale spatiotemporal processes in conservation and sustainability science, such as continent-wide animal movement, occur across a range of spatial and temporal scales. Understanding these processes at multiple scales is crucial for developing and coordinating conservation strategies across national boundaries. In this paper we propose a general class of models we call AdaSTEM, for Adaptiv...

Pair–production of heavy top quarks at the Tevatron Collider is significantly enhanced by the color–octet technipion, ηT , occurring in multiscale models of walking technicolor. We discuss tt rates for mt = 170GeV and MηT = 400 − 500GeV. Multiscale models also have color–octet technirho states in the mass range 200 − 600GeV that appear as resonances in dijet production and technipion pair–produ...

During each ovarian cycle, numerous follicles are in competition for their survival, only a few of them ovulate and participate to the reproduction as fertilizable oocyte. Therefore, the development of ovarian follicles is crucial for the survival of mammals species and a better understanding of this selection process is required to improve the treatment of infertility or to improve the reprodu...

We describe multiscale mortar mixed finite element discretizations for second order elliptic and nonlinear parabolic equations modeling Darcy flow in porous media. The continuity of flux is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. We discuss the construction of multiscale mo...

In this contribution, we present a very general framework for formulating multiscale methods for nonlinear elliptic homogenization problems. The framework is based on a very general coupling of one macroscopic equation with several localized fine-scale problems. In particular, we recover the Heterogeneous Multiscale Method (HMM), the Multiscale Finite Element Method (MsFEM) and the Variational ...