There is considerable evidence which suggests that the gamma-subunit of cGMP phosphodiesterase (PDE gamma) is a multifunctional protein which may interact directly with both the catalytic subunits of PDE (PDE alpha beta) and the alpha-subunit of transducin (T alpha) (Whalen, M., and Bitensky, M. (1989) Biochem. J. 259, 13-19; Griswold-Prenner, I., Young, J. H., Yamane, H. K., and Fung, B. K.-K....

OBJECTIVE To evaluate the clinical feasibility and obtain useful parameters of (31)P magnetic resonance spectroscopy (MRS) study for making the differential diagnosis of brain tumors. MATERIALS AND METHODS Twenty-eight patients with brain tumorous lesions (22 cases of brain tumor and 6 cases of abscess) and 11 normal volunteers were included. The patients were classified into the astrocytoma ...

This talk is a survey on some recent results concerning local regularity for weak solutions to some quasilinear degenerate elliptic equations. This topic is a very classical one in the theory of PDE and we start by recalling contributions given by many authors. Early results go back to the outstanding papers by De Giorgi [12], Stampacchia [29], Ladyzhenskaia and Uraltzeva [18] between the end o...

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...

We consider a financial market with liquidity cost as in Çetin, Jarrow and Protter [3] where the supply function S(s, ν) depends on a parameter ε ≥ 0 with S(s, ν) = s corresponding to the perfect liquid situation. Using the PDE characterization of Çetin, Soner and Touzi [6] of the super-hedging cost of an option written on such a stock, we provide a Taylor expansion of the super-hedging cost in...

We establish various forms of the following certainty principle: a set $$S \subset {\mathbb {R}}^{n}$$ contains given finite linear pattern if S is support Fourier transform sufficiently singular probability measure on $${\mathbb . As its main corollary, we provide new dimensional estimates for PDE- and Fourier-constrained vector measures. Those results, in certain cases restrictions by homogen...