Introduction: Early diagnosis of disc degeneration is critical for the success of treatment strategies. Several MR parameters, including T2 and T1-rho maps, have been proposed as markers to quantitatively evaluate the progression of disc degeneration [1, 2]. Although MR parameters are correlated with degeneration grade and the decrease of glycosaminoglycan content, they represent the dynamics o...

The paper describes a program of mechanical testing on donated human eye bank lenses. The principal purpose of the tests was to obtain experimental data on the shear modulus of the lens for use in future computational models of the accommodation process. Testing was conducted using a procedure in which deformations are induced in the lens by spinning it about its polar axis. Shear modulus data ...

In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [Formula: see text], based on a function [Formula: see text]. This function [Formula: see text] is infinite times continuously differentiable on [Formula: see text] and satisfy the conditions [Formula: see text] and [Formula: see text] is bounded for all [Formula: see text]. We stu...

Finite element modeling has been used to study the development of surface deformation during indentation with a Vickers indenter. A wide range of materials with different elastic modulus and yield stresses are examined. Results show that in a pyramidal indentation process, for a perfectly plastic material, sinking-in during loading can change to pile-up in unloading. This phenomenon depends on ...

An upper bound q(c) for the best, under equivalent renorming, possible power type of the modulus of smoothness of a Banach space with modulus of convexity satisfying δX(ε) cε2, is found. The estimate is asymptotically sharp and is expressed in terms of linear fractional function q(c). © 2006 Elsevier Inc. All rights reserved.

With the aid of symbolic computation, the sinh-Gordon equation expansion method is extended to seek Jacobi elliptic function solutions of (2+1)-dimensional long wave-short wave resonance interaction equation, which describe the long and short waves propagation at an angle to each other in a two-layer fluid. As a result, new Jacobi elliptic function solutions are obtained. When the modulus m of ...

Endothelial cells (EC) are potent bioregulatory cells, modulating thrombosis, inflammation and control over mural smooth muscle cells and vascular health. The biochemical roles of EC are retained when cells are embedded within three-dimensional (3D) denatured collagen matrices. Though substrate mechanics have long been known to affect cellular morphology and function and 3D-EC systems are incre...