A thermal–electrochemical model of lithium-ion batteries is presented and a Luenberger observer is derived for State-of-Charge (SoC) estimation by recovering the lithium concentration in the electrodes. This first-principles based model is a coupled system of partial and ordinary differential equations, which is a reduced version of the Doyle–Fuller–Newman model. More precisely, the subsystem o...

Pulse detonation technology can be a revolutionary approach for propulsion system since it offers significant fuel efficiency, higher thrust to weight ratio and low cost. Although the design concept of a pulse detonation engine is comparatively simple, but the development and stabilization of sustainable detonation wave front is difficult. Consequently pulse detonation engine technology is stil...

The main issue in any image zooming techniques is to preserve the structure of the zoomed image. The zoomed image may suffer from the discontinuities in the soft regions and edges; it may contain artifacts, such as image blurring and blocky, and staircase effects. This paper presents a novel image zooming technique using Partial Differential Equations (PDEs). It combines a non-linear Fourth-ord...

A central step in vertebrate visual transduction is the rapid drop in cGMP levels that causes cGMP-gated ion channels in the photoreceptor cell membrane to close. It has long been a puzzle that the cGMP phosphodiesterase (PDE) whose activation causes this decrease contains not only catalytic sites for cGMP hydrolysis but also noncatalytic cGMP binding sites. Recent work has shown that occupancy...

The activation and recovery phases of the murine rod photo-response were determined from corneal electroretinograms (ERGs) obtained in response to pairs of full-field flashes producing 50-10(5) photoisomerized rhodopsins (R*) per rod. The a-wave component of the ERG in response to the initial flash provided a well established measure of the activation phase of the rod response. The amplitude of...

PDE surfaces, whose behavior is governed by Partial Differential Equations (PDEs), have demonstrated many modeling advantages in surface blending, free-form surface modeling, and surface’s aesthetic or functional specifications. Although PDE surfaces can potentially unify geometric attributes and functional constraints for surface design, current PDE-based techniques exhibit certain difficultie...

Partial differential equation (PDE) models are commonly used to model complex dynamic systems in applied sciences such as biology and finance. The forms of these PDE models are usually proposed by experts based on their prior knowledge and understanding of the dynamic system. Parameters in PDE models often have interesting scientific interpretations, but their values are often unknown, and need...

Nitric oxide (NO) functions as a diffusible messenger in the central nervous system and elsewhere, exerting many of it physiological effects by activating soluble guanylyl cyclase, so increasing cellular cGMP levels. Hydrolysis of cyclic nucleotides is achieved by phosphodiesterases (PDEs) but the enzyme isoforms responsible for degrading cGMP in most cells have not been identified. We have dev...

PURPOSE Phosphodiesterase (PDE) inhibitors are important therapeutic agents, but their effects on photoreceptor PDE (PDE6) and photoreceptor cells are poorly understood. The potency and selectivity of various classes of PDE inhibitors on purified rod and cone PDE6 and on intact rod outer segments (ROS) were characterized. METHODS The inhibition constant (K(i)) of isozyme-selective PDE inhibit...

Although expression of natriuretic peptides in cardiac tissues is up-regulated in response to pressure overload, no significant change in cGMP level in hypertrophied ventricles was observed. Activities of two cyclic nucleotide phosphodiesterase (PDE) isoforms, Ca2+/calmodulin-stimulated PDE (PDE1) and cGMP-stimulated PDE (PDE2), were significantly higher in rat left ventricles 14 days after aor...