We develop partial differential equation (PDE) methods to study the dynamics of pattern formation in partial integro-differential equations (PIDEs) defined on a spatially extended domain. Our primary focus is on scalar equations in two spatial dimensions. These models arise in a variety of neuronal modeling problems and also occur in material science. We first derive a PDE which is equivalent t...

Two cyclic nucleotide phosphodiesterase (PDE) activities were identified in pig aortic endothelial cells, a cyclic GMP-stimulated PDE and a cyclic AMP PDE. Cyclic GMP-stimulated PDE had Km values of 367 microM for cyclic AMP and 24 microM for cyclic GMP, and low concentrations (1 microM) of cyclic GMP increased the affinity of the enzyme for cyclic AMP (Km = 13 microM) without changing the Vmax...

OBJECTIVES To assess the changes in phosphodiester (PDE)-levels, detected by 31P magnetic resonance spectroscopy (MRS), over 24-months to determine the potential of PDE as marker for muscle tissue changes in Duchenne Muscular Dystrophy (DMD) patients. METHODS Spatially resolved phosphorous datasets were acquired in the right lower leg of 18 DMD patients (range: 5-15.4 years) and 12 age-matche...

Phosphodiesterase type-5 (PDE-5) inhibitors are approved as the first line of therapy for the treatment of erectile dysfunction. However, different studies have been performed to study the use of these agents in other areas of urology. There are many studies related to the use of PDE-5 inhibitors as a monotherapy or combination therapy with alpha-blockers for lower urinary tract symptoms (LUTS)...

An algorithmic method using conservation law multipliers is introduced that yields necessary and sufficient conditions to find invertible mappings of a given nonlinear PDE to some linear PDE and to construct such a mapping when it exists. Previous methods yielded such conditions from admitted point or contact symmetries of the nonlinear PDE. Through examples, these two linearization approaches ...

Geometric properties of graphs of solutions for the quartic interaction PDE are studied in the present work. Two classes of solutions are considered. One class is represented by soliton solutions, whereas the other class consists of solutions of a first order PDE system, which generates the quartic interaction PDE, in the sense of least squares type action. We prove that for both classes the gr...

Peritoneal dialysis (PD) is a modality of renal replacement therapy in which the high volumes of available PD effluent (PDE) represents a rich source of biomarkers for monitoring disease and therapy. Although this information could help guide the management of PD patients, little is known about the potential of PDE to define pathomechanism-associated molecular signatures in PD.We therefore subj...

This paper presents the software architecture and implementation of the problem solving environment (PSE) IIELLPACK for modeling physical objects described by partial differenlial equations (FDEs). The scope of this PSE is broad as IIELLPACK incorporates many PDE solving systems and some of these, in (urn, include several specific PDE solving melhods. Its coverage for 1-0, 2·0 and 3-D elliptic ...

changes and corresponding histopathology is unusual since the lesions had been observed already in the first years of life. Most patients with PXE-like PDE reported onset of disease after the fifth decade. Only one case in early middle age has been reported so far. Because of the late onset of the disease, some authors hypothesize PXE-PDE is related to intrinsic skin ageing and/or extrinsic age...

We present a PDE-based interpolation algorithm to effectively reproduce high resolution imagery. Conventional PDE-based interpolation methods can produce sharp edges without checkerboard effects; however, they are approximators and tend to weaken fine structures. In order to overcome the drawback, a texture enhancement method is incorporated as a post-process of PDE-based interpolation methods....