Numerical Models for the Simulation of Flexible Artificial Heart Valves: Part I - Computational Methods

Abstract

A numerical model of the coupled motion of a flexing surface in a high Reynolds number flow is presented for the simulation of flexible polyurethane heart valves in the aortic position. This is achieved by matching a Lagrangian dynamic leaflet model with a panel method based flow solver. The two models are coupled via the time-dependent pressure field using the unsteady Bernoulli equation.

Incorporation of sub-cycling in the dynamic model equations and fast pre conditioning techniques in the panel method solver yields efficient convergence and near real-time simulations of valve motion. The generality of dynamic model allows different material properties and/or geometries to be studied easily and interactively. This interactivity is realized by embedding the models within a design environment created using the software IRIS Explorer ^TM.

Two flow domains are developed, an infinite domain and an internal domain using conformal mapping theory. In addition bending stress on the valve is computed using a simple stress model based on spline and circle equation techniques.     

Cell division systems that account for the various arrangements and types of differentiated cells within the secondary phloem of conifers

There are two main types of arrangement of differentiated cells within the radial cell files of secondary phloem in conifer trees. In the C-type arrangement, characteristic of the Cupressaceae, fibre (F), parenchyma (P) and sieve (S) cells are arranged in recurrent groups, such as the “standard” cellular quartet (FSPS). In the P-type arrangement, characteristic of the Pinaceae, there are no fibres and one of the characteristic recurrent arrangements is the cellular sextet (PSSSSS). In addition, in both C-type and P-type arrangements, similar cell types are often organised into tangential bands. A simulation model, based on the theory of L-systems, was devised to account for the determination of these two types of regular and recurrent patterns of differentiated phloem cells. It was based on the supposition that, in the meristematic portion of the phloem domain, there are specific spatio-temporal patterns of periclinal cell division. When new cells are produced, those already present are displaced along the cell file, occupying a predictable number of cellular positions as a result of each round of cell division. Each cellular position is assumed to be associated with a specific value of a morphogen, such as the auxin, indole acetic acid, relevant for vascular differentiation. Using published quantitative data on the distribution auxin across the phloem, and assuming specific threshold values of auxin necessary for the determination of each cell type, it was found that sequences of F, S or P cells developed in accordance with the specific pattern of cell division and the related positional values of auxin experienced by the cells during their displacement through the immediately post-mitotic zone of cell determination. The model accounts not only for the typical C-type and P-type cellular arrangements, but also for certain variant arrangements. It provides a working example of the concepts of positional information and positional value for patterned differentiation within a developing plant tissue. There are similarities between the way groups of phloem cells develop and the differentiation of somites in the embryos of vertebrates.     

Do microbes have macroecology? Large‐scale patterns in the diversity and distribution of marine benthic ciliates

Aim The biogeography and global distribution of protists has long been disputed, with two primary, opposing views. To test these two sets of views in greater detail, we have compiled the available data for marine benthic ciliates and assessed the general patterns of their diversity and distribution compared with Metazoa. Location World‐wide. Methods A comprehensive database (1342 species, over 350 sources) was used to analyse the diversity, distribution, species occurrences and range size distribution of free‐living ciliates that inhabit marine sediments in 17 geographical regions. Results Twenty‐five per cent of the species have been found in a single region only, whereas 18% are widespread (they occur in more than half the regions covering both hemispheres). Only 5–7% of regional faunas are endemic, which is much lower than for macroorganisms. Regional diversity depends neither on total area nor on coastline length and does not show any obvious latitudinal trends, but correlates highly with the investigation effort expended in a region and (negatively) with the average salinity. A comparison of species composition reveals distinctions between the Arctic Area (the White, Barents and Kara seas), Laurasian Area (north Atlantic, north Pacific and European seas), Gondwanian Area (Southern Ocean) and the Antarctic. No clear geographical correlations are found for faunistic composition at the genus or family levels. There is the tendency to narrow the latitudinal ranges for species found at high latitudes (reversal of Rapoport's rule). Main conclusions Undersampling and data insufficiency are the key factors affecting the observed diversity and distribution of microorganisms. Nevertheless, marine benthic ciliates demonstrate certain patterns that generally agree with the ‘moderate endemicity’ model ( Foissner, 2004, 2008 ), but consistently contradict the regularities commonly observed for multicellular taxa. Thus, ciliates do have a biogeography, but their macroecological patterns may be different in some respects from that of macroorganisms.     

The role of partial incubation and egg repositioning within the clutch in hatching asynchrony and subsequent effects on breeding success

The main mechanism to achieve hatching asynchrony (HA) for incubating birds is to start heating the eggs before clutch completion. This might be achieved through partial incubation and/or early incubation. Even in the absence of incubation behaviour during the laying phase, clutches still experience a certain degree of asynchrony. Recent studies have shown that eggs located in the centre of the nest receive more heat than peripheral ones during incubation. As eggs receiving more heat would develop faster, we hypothesized that HA should be shorter in nests where eggs were moved homogeneously along the centre–periphery space during incubation than in those nests where eggs repeatedly remained in the same locations, either centrally or peripherally. We explored the relative roles of egg repositioning and partial incubation in determining HA in wild birds by (1) removing eggs from 20 Great Tit Parus major nests on the day of laying and replacing them with fake eggs to avoid partial incubation, and returning them when full incubation began; (2) monitoring twice a day the position of each individually marked egg relative to the clutch centre during incubation, and estimating the coefficient of variation of the distances; and (3) determining HA in each nest. Preventing partial incubation reduced HA by 51% days in experimental nests. It also caused negative effects for the incubating females (lengthening the full incubation period) and positive effects for the brood (increasing fledging success). However, our hypothesis about the role of egg repositioning on HA was not supported: all the females moved the eggs with remarkable consistency, generally attaining a coefficient of variation of the distances around 33%, and it was not related to the HA experienced. We therefore conclude that partial incubation is an important factor regulating HA, and females compensate for the potential effects of differential heating by moving the eggs homogeneously within the clutch.     

Molecular simulation of solid–solid phase transitions

Applications of dl_poly to solid–solid phase transitions are reviewed, with particular attention to how details of the mechanisms of the transitions may be extracted from molecular dynamics simulations. Two examples in molecular crystals are discussed: the order–disorder transition of p-terphenyl initiated at around 200 K by the unlocking of ring flipping; and the rotator phases of n-alkanes with around 20 carbon atoms per chain, showing distinct molecular mechanisms in the dynamics just below the melting points of odd and even chains. Covalent-ionic materials are represented by an application to an aluminophophate molecular sieve, AlPO₄-5.     

Nonphotic Phase Shifting in the Old and the Cold

When confined to novel running wheels or when given injections of triazolam in their home cages, old hamsters do not become as active as young hamsters. Therefore, lack of nonphotic phase shifting following such manipulations may stem from insufficient activity or arousal. Phase advances can be obtained in some 10-month-old animals when wheel running during the pulse is increased by the presence of females in estrous condition and in most 18-month-old hamsters by combining confinement to a novel wheel with triazolam injections. These data suggest that there is relatively little if anything wrong in aging hamsters with the nonphotic phase-shifting mechanism itself. The reason why in certain situations old hamsters do not shift appears to be because the nonphotic inputs to these shifting mechanisms are not strong enough. However, when running in novel wheels is increased by carrying out the tests at cold temperatures, most old animals did not show subsequent phase shifts. Evidently it is not running per se that is critical for phase shifts, but probably the motivational context for such running.     

Message from the President of the Society

The circadian rhythm of locomotor activity of the field mouse Mus booduga was studied and single animal phase response curves (PRCs) (n = 8) were constructed for 15-min daylight pulses of 1000 lux intensity. The light pulses, presented at different phases of the circadian cycle, evoked advancing and delaying phase shifts (ΔPHs) depending on the circadian time (CT) of light pulse application. ΔPHs by light pulses applied at the same phase are strongly correlated with the animals' circadian period (τ). The results indicate a significant correlation between (i) τ and the area under the advance zone of the PRC (A) (r = +0.72, p > 0.05), (ii) τ and the area under the delay zone of the PRC (D) (r = -0.98, p > 0.00001), (iii) τ and the difference between the area under delay and advance zone of PRC (D-A) (r = -0.97, p > 0.00001), and (iv) between τ and ΔpHs (at various phases of the circadian cycle) and further suggest that the waveform and time course of PRC depend on the animals' endogenous period (τ). (Chronobiology International, 13(6), 401–409, 1996)     

CIRCADIAN PHASE AND PERIOD RESPONSES TO LIGHT STIMULI IN TWO NOCTURNAL RODENTS

We report period response curves (τRC) for two nocturnal Murid species from India, Mus booduga and Mus platythrix. We further discuss the method of phase shift estimation in the presence of τ-changes, because such changes pose a serious methodological problem in the estimation of phase shifts. Although the τRC indicates that most of the phase shifts are associated with small changes in τ, the period changes across all the phases showed a significant positive correlation with the phase shifts. We conclude that τRCs are a reality even in nocturnal mammals, although their amplitude is less than what is usually found in diurnal mammals, and requires a larger data set to be distinguished from noise.     

Controlled Exposure to Light and Darkness Realigns the Salivary Cortisol Rhythm in Night Shift Workers

The efficacy of a light/darkness intervention designed to promote circadian adaptation to night shift work was tested in this combined field and laboratory study. Six full-time night shift workers (mean age ± SD:37.1 ± 8.1 yrs) were provided an intervention consisting of an intermittent exposure to full-spectrum bright white light (～2000 lux) in the first 6 h of their 8 h shift, shielding from morning light by tinted lenses (neutral gray density, 15% visual light transmission), and regular sleep/darkness episodes in darkened quarters beginning 2 h after the end of each shift. Five control group workers (41.1 ± 9.9 yrs) were observed in the presence of a regular sleep/darkness schedule only. Constant routines (CR) performed before and after a sequence of ～12 night shifts over 3 weeks revealed that treatment group workers displayed significant shifts in the time of peak cortisol expression and realignment of the rhythm with the night-oriented schedule. Smaller phase shifts, suggesting an incomplete adaptation to the shift work schedule, were observed in the control group. Our observations support the careful control of the pattern of light and darkness exposure for the adaptation of physiological rhythms to night shift work.