The cGMP phosphodiesterase (PDE) of retinal rod outer segments (ROS) is activated by the GTP-bound form of the G protein, transducin (Gt alpha). This activation can be reversed by the inhibitory gamma subunit of PDE through two distinct mechanisms: acceleration of GTP hydrolysis and direct inactivation independent of GTP hydrolysis. We have found that acceleration of Gt alpha GTPase by PDE gamm...

Nonlinear partial differential equation (PDE) models are established approaches for image/signal processing, data analysis and surface construction. Most previous geometric PDEs are utilized as low-pass filters which give rise to image trend information. In an earlier work, we introduced mode decomposition evolution equations (MoDEEs), which behave like high-pass filters and are able to systema...

Cyclic nucleotides have been implicated in the differentiation and function of the vertebrate retina. In the normal retina of DBA mice, the specific activity of cyclic-nucleotide phosphodiesterase (PDE), with cyclic-AMP as the substrate (cAMP-PDE), increases eightfold between the 6th and 20th postnatal day. Kinetic analysis of retinae from newborn mice reveals a PDE with a single Michaelis cons...

Whereas indirect euthanasia is a common clinical practice, active euthanasia remains forbidden in most countries. The reason for this differentiation is usually seen in the principle of double-effect (PDE). PDE states that there is a morally relevant difference between the intended consequences of an action and merely foreseen, unintended side-effects. This article discloses the fundamental ass...

The main goal of this work is to study the classical models of Partial Differential Equations (PDE) as the heat, wave and Poisson with uncertain parameters, considering the parameter as a fuzzy number. The fuzzy solution is built from the fuzzification of the deterministic solution. The continuity of the Zadeh extension is used to obtain qualitative properties upon the regular α − cuts of the f...

We present a novel formulation for the mesh adaptation of the approximation of a PDE. The discussion is restricted to a Poisson problem. The proposed formulation extends the goal-oriented formulation, since it is equation-based and uses an adjoint. At the same time, it supersedes it as a solution-convergent method. Indeed, goal-oriented methods rely on the reduction of the error in evaluating a...

Using the theory of the symmetry groups for PDEs of order two ([7], [17], [20]), one finds the symmetry group G associated to Ţiţeica surfaces PDE. One proves that Monge-Ampère-Ţiţeica PDE which is invariant with respect to G, where G is the maximal solvable subgroup of the symmetry group G, is just the PDE of Ţiţeica surfaces. One studies the inverse problem and one shows that the Ţiţeica surf...