In this paper we will prove saturation estimates for the adaptive hp-finite element method for linear, second order partial differential equations. More specifically we will consider a sequence of nested finite element discretizations where we allow for both, local mesh refinement and locally increasing the polynomial order. We will prove that the energy norm of the error on the finer level can...

Apical constriction is one of the fundamental mechanisms by which embryonic tissue is deformed, giving rise to the shape and form of the fully-developed organism. The mechanism involves a contraction of fibres embedded in the apical side of epithelial tissues, leading to an invagination or folding of the cell sheet. In this article the phenomenon is modelled mechanically by describing the epith...

Objective: Previous basic studies on the use of titanized polypropylene meshes in abdominal external hernia repair are not only limited, but also highly controversial. This study aims to investigate modification effect titanium compounds materials and compare performance two kinds both vivo vitro . Methods: Human peritoneal mesothelial cells (HMrSV5), human epidermal fibroblasts (HSF), monocyti...

Mesh deformation methods are a versatile strategy for solving partial differential equations (PDEs) with a vast variety of practical applications. However, these methods break down for elliptic PDEs with discontinuous coefficients, namely, elliptic interface problems. For this class of problems, the additional interface jump conditions are required to maintain the well-posedness of the governin...

Consider axisymmetric equations associated with Laplace-type operators. We establish full regularity estimates in high-order Kondrat′vetype spaces for possible singular solutions due to the non-smoothness of the domain and to the singular coefficients in the operator. Then, we show suitable graded meshes can be used in high-order finite element methods to achieve the optimal convergence rate, e...

Introduction: In addition to influencing physical performance, some studies verify the impact of vitamin D on body composition. It is known that their high levels favor gain fibers fast contraction, favoring increase force due muscular areas and it prevents loss lean mass. Objective: was present, through a systematic review, main correlations outcomes clinical between exercise practitioners, an...

To relate the subcellular molecular events to organ level physiology in heart, we have developed a three-dimensional finite-element-based simulation program incorporating the cellular mechanisms of excitation-contraction coupling and its propagation, and simulated the fluid-structure interaction involved in the contraction and relaxation of the human left ventricle. The FitzHugh-Nagumo model an...

In this paper, I present the design, fabrication and characterization of fully soft pneumatic artificial muscles (PAMs) with low threshold pressures that are intended for direct cardiac compression (DCC). McKibben type PAMs typically have a threshold pressure of at least lOOkPa and require rigid end fittings which may damage soft tissue and cause local stress concentrations, and thus failure po...

background: teat lacerations are serious injuries thatendanger the survival of a cow within the herd. in excessivelacerations, the wound should be left to heal by second intentionhealing process. however, tissue contraction during healing canchange the alignment of the teat, creating problems for machinemilking. objectives: the purpose of the present study was toevaluate the transplantation of ...

BACKGROUND: Teat lacerations are serious injuries thatendanger the survival of a cow within the herd. In excessivelacerations, the wound should be left to heal by second intentionhealing process. However, tissue contraction during healing canchange the alignment of the teat, creating problems for machinemilking. OBJECTIVES: The purpose of the present study was toevaluate the transplantation of ...