NURBS (Non-uniform rational B-splines) surfaces are the standard freeform representation in Computer- Aided Design (CAD) applications. Rendering NURBS surfaces accurately while they are interactively manipulated and deformed is a challenging task. In order to achieve it, the elimination from pipeline in early stages of back-facing surfaces or surface pieces is a key advantage. Furthermore, an effe

Ultrafast excited state dynamics of [Cr(CO)4(bpy)] upon metal-to-ligand charge-transfer (1MLCT) transition have been studied by pump-probe absorption spectroscopy in CH3CN, pyridine and CH2Cl2 solvents. Intersystem crossing (ISC) was found to be very fast (∼100 fs) and efficient, while the formation of the photoproduct with one axial CO dissociated is significantly less competitive, indicating a b

The shell structure of low-lying neutron resonance levels in axially symmetric quadrupole-deformed potentials is discussed, which seems analogous to that of weakly bound neutrons. As numerical examples, nuclei slightly outside the neutron drip line, Mg271239 and C15621, are studied. For the lowest resonance I obtain Iπ=Ωπ=5/2- for Mg39 which is likely to be prolately deformed, while Iπ=Ωπ=1/2+ may

Block diagram languages are often used for physical modeling and automation, where end users are domain engineers that instantiate block types and wire them together. Abstraction mechanisms in these languages allow specialists to build advanced reusable domain-specific libraries. However, this brings a tension between supporting reusability and making the language simple to comprehend for domain e

Purpose of review We aim to review the most interesting recent advances on the clinical aspects of continuous dopaminergic stimulation in Parkinson's disease. Recent findings Several large, open-label studies have presented data that are in line with the randomized controlled trial on L-dopa-carbidopa intestinal gel infusion, which shows that a continuous drug delivery can improve motor fluctuatio

This study analyzes the intergenerational effects of late child bearing on offspring’s adult longevity in a population in Utah (USA) that does not display evidence of parity-specific birth control – a so-called natural fertility population. Studies have found that for women who experience late menopause and prolonged reproduction, aging is postponed and longevity is increased. This is believed to

Theoretical models and experiments suggest that the transport of suspended particles in microfluidics-based sorting devices can be modeled by a two-dimensional effective advection-diffusion process characterized by constant average velocity, $$\mathbf {W}$$W, and a typically anisotropic dispersion tensor, $$\mathbb {D}$$D, whose principal axes are slanted with respect to the direction of the effec

A survey of techniques to solve ATS + SA + Q = 0 is presented, and nine algorithms are coded and tested on a batch of examples. Which algorithm to be recommended depends mainly on the order of the system.

Inversion of a linear dynamical system is shown to be an operator equivalence to the well-known matrix lemma: (D + CLB)−1 = [D−1 − D−1C(L−1 + BD−1C)−1BD−1]

The linear filtering, prediction and smoothing problems as well as the linear quadratic control problems can very generally be formulated as operator equations using basic linear algebra.The equations are of Fredholm type II, and they are difficult to solve directly.It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. Recursive solution of the

The 1-locus incompatibility system that is usually assumed to be present in the red clover is investigated. The allele fluctuations from one generation to the other are demonstrated. A mathematical state model is deduced for arbitrary numbers of alleles in the population, and its steady-state behaviour and stability are discussed. The eigenvalues of the linearized models as well as simulations sho

The random effects in tracer kinetics and cell cycle kinetics are usually described by the particle residence time. An analytical framework is developed, and the importance of the statistical independence of the residence times is emphasized.

The Grodsky packet storage model describes many features of insulin release, but at present more or less arbitrary simplifications are necessary. The consequences of various simplifications are discussed, especially with regard to identification of parameters thought to be of importance for glucose tolerance. In particular, the insulin release dynamics of the ordinary intravenous glucose tolerance