Consider a class of convex minimization problems for which the objective function is the sum of a smooth convex function and a non-smooth convex regularity term. This class of problems includes several popular applications such as compressive sensing and sparse group LASSO. In this thesis, we introduce a general class of approximate proximal splitting (APS) methods for solving such minimization...

This paper studies a solid film lying on a liquid layer, which in turn lies on a solid substrate. It is well known that, subject to a compressive membrane force, the solid film wrinkles, dragging the liquid underneath to flow. When the solid film is very thin, the ratio between the number of atoms at the surface and that in the bulk becomes significant, so that surface stress contributes to the...

Dynamic control of gene expression can have far-reaching implications for biotechnological applications and biological discovery. Thanks to the advantages of light, optogenetics has emerged as an ideal technology for this task. Current state-of-the-art methods for optical expression control fail to combine precision with repeatability and cannot withstand changing operating culture conditions. ...

In order to quantitatively characterize the enhancement of hole mobility of strained silicon under different stress intensity conditions, changes of hole effective mass should be studied. In the paper, strained silicon under in-plane biaxially tensile strain based on (0 0 1) substrate and longitudinal uniaxially compressive strain along h1 1 0i are investigated thoroughly. By solving the Hamilt...

Peripheral arterial stent fracture is a known complication of peripheral intervention and is associated with increased risk of in-stent restenosis and re-occlusion of the target vessel [1,2]. While reported rates of stent fracture have varied widely overall [1], stent location has been implicated as a risk factor for fracture. Stent deployment in one such location, the femoropopliteal segment, ...

BACKGROUND Compressive and quadriceps forces have been associated with noncontact anterior cruciate ligament (ACL) injury. The purpose of this study was to quantify the relative importance of each load component during noncontact ACL injury. HYPOTHESIS We hypothesized that the introduction of a quadriceps force lowers the axial compressive force threshold to produce ACL injury. STUDY DESIGN...

In this paper, the active buckling control of smart functionally graded (FG) plates using piezoelectric sensor/actuator patches is studied. A simply supported FG rectangular plate which is bonded with piezoelectric rectangular patches on the top and/or the bottom surface(s) as actuators/sensors is considered. When a constant electric charge is imposed, the governing differential equations of mo...

A biomechanical evaluation of the job-related stresses imposed upon a worker is a potential means of reducing the high incidence rates of manual material handling injuries in industry. A biomechanical model consisting of seven rigid links joined at six articulations has been developed for this purpose. Using data from cinematographic analysis of lifting motions the model calculates: (1) body po...

To build good models, we need to know the appropriate model size. To handle this problem, a variety of information criteria have already been proposed, each with a different background. In this paper, we consider the problem of model selection and investigate the performance of a number of proposed information criteria and whether the assumption to obtain the formulae that fitting errors are no...

Sommerfeld effect concerns the non-linear jump phenomena induced due to the influence of the unbalance response on a non-ideal drive around the critical speed of the excited structure. In this work, we study the influence of external and internal dampings and gyroscopic forces on the Sommerfeld effect in rotationally symmetric planar dynamical systems. The rotational symmetry assumption allows ...