Comparative analysis of the gene-dense ACHE/TFR2 region on human chromosome 7q22 with the orthologous region on mouse chromosome 5

Chromosome 7q22 has been the focus of many cytogenetic and molecular studies aimed at delineating regions commonly deleted in myeloid leukemias and myelodysplastic syndromes. We have compared a gene-dense, GC-rich sub-region of 7q22 with the orthologous region on mouse chromosome 5. A physical map of 640 kb of genomic DNA from mouse chromosome 5 was derived from a series of overlapping bacterial artificial chromosomes. A 296 kb segment from the physical map, spanning Ache to Tfr2, was compared with 267 kb of human sequence. We identified a conserved linkage of 12 genes including an open reading frame flanked by Ache and Asr2, a novel cation-chloride cotransporter interacting protein Cip1, Ephb4, Zan and Perq1. While some of these genes have been previously described, in each case we present new data derived from our comparative sequence analysis. Adjacent unfinished sequence data from the mouse contains an orthologous block of 10 additional genes including three novel cDNA sequences that we subsequently mapped to human 7q22. Methods for displaying comparative genomic information, including unfinished sequence data, are becoming increasingly important. We supplement our printed comparative analysis with a new, Web-based program called Laj (local alignments with java). Laj provides interactive access to archived pairwise sequence alignments via the WWW. It displays synchronized views of a dot-plot, a percent identity plot, a nucleotide-level local alignment and a variety of relevant annotations. Our mouse–human comparison can be viewed at http://web.uvic.ca/~bioweb/laj.html. Laj is available at http://bio.cse.psu.edu/, along with online documentation and additional examples of annotated genomic regions.

Modeling the molecular weight distribution of block copolymer formation in a reversible addition-fragmentation chain transfer mediated living radical polymerization

Block copolymers have become an integral part of the preparation of complex architectures through self-assembly. The use of reversible addition-fragmentation chain transfer (RAFT) allows blocks ranging from functional to nonfunctional polymers to be made with predictable molecular weight distributions. This article models block formation by varying many of the kinetic parameters. The simulations provide insight into the overall polydispersities (PDIs) that will be obtained when the chain-transfer constants in the main equilibrium steps are varied from 100 to 0.5. When the first dormant block [polymer-S-C(Z)=S] has a PDI of 1 and the second propagating radical has a low reactivity to the RAFT moiety, the overall PDI will be greater than 1 and dependent on the weight fraction of each block. When the first block has a PDI of 2 and the second propagating radical has a low reactivity to the RAFT moiety, the PDI will decrease to around 1.5 because of random coupling of two broad distributions. It is also shown how we can in principle use only one RAFT agent to obtain block copolymers with any desired molecular weight distribution. We can accomplish this by maintaining the monomer concentration at a constant level in the reactor over the course of the reaction. (c) 2005 Wiley Periodicals, Inc.

Interval timing in children:effects of auditory and visual pacing stimuli and relationships with reading and attention variables

Motor timing tasks have been employed in studies of neurodevelopmental disorders such as developmental dyslexia and ADHD, where they provide an index of temporal processing ability. Investigations of these disorders have used different stimulus parameters within the motor timing tasks which are likely to affect performance measures. Here we assessed the effect of auditory and visual pacing stimuli on synchronised motor timing performance and its relationship with cognitive and behavioural predictors that are commonly used in the diagnosis of these highly prevalent developmental disorders. Twenty- one children (mean age 9.6 years) completed a finger tapping task in two stimulus conditions, together with additional psychometric measures. As anticipated, synchronisation to the beat (ISI 329 ms) was less accurate in the visually paced condition. Decomposition of timing variance indicated that this effect resulted from differences in the way that visual and auditory paced tasks are processed by central timekeeping and associated peripheral implementation systems. The ability to utilise an efficient processing strategy on the visual task correlated with both reading and sustained attention skills. Dissociations between these patterns of relationship across task modality suggest that not all timing tasks are equivalent.

Collimation of a D-D Neutron Generator for Clinical Implementation of Neutron Stimulated Emission Computed Tomography: a Monte Carlo Study

This work is an investigation into collimator designs for a deuterium-deuterium (DD) neutron generator for an inexpensive and compact neutron imaging system that can be implemented in a hospital. The envisioned application is for a spectroscopic imaging technique called neutron stimulated emission computed tomography (NSECT).

Previous NSECT studies have been performed using a Van-de-Graaff accelerator at the Triangle Universities Nuclear Laboratory (TUNL) in Duke University. This facility has provided invaluable research into the development of NSECT. To transition the current imaging method into a clinically feasible system, there is a need for a high-intensity fast neutron source that can produce collimated beams. The DD neutron generator from Adelphi Technologies Inc. is being explored as a possible candidate to provide the uncollimated neutrons. This DD generator is a compact source that produces 2.5 MeV fast neutrons with intensities of 1012 n/s (4π). The neutron energy is sufficient to excite most isotopes of interest in the body with the exception of carbon and oxygen. However, a special collimator is needed to collimate the 4π neutron emission into a narrow beam. This work describes the development and evaluation of a series of collimator designs to collimate the DD generator for narrow beams suitable for NSECT imaging.

A neutron collimator made of high-density polyethylene (HDPE) and lead was modeled and simulated using the GEANT4 toolkit. The collimator was designed as a 52 x 52 x 52 cm3 HDPE block coupled with 1 cm lead shielding. Non-tapering (cylindrical) and tapering (conical) opening designs were modeled into the collimator to permit passage of neutrons. The shape, size, and geometry of the aperture were varied to assess the effects on the collimated neutron beam. Parameters varied were: inlet diameter (1-5 cm), outlet diameter (1-5 cm), aperture diameter (0.5-1.5 cm), and aperture placement (13-39 cm). For each combination of collimator parameters, the spatial and energy distributions of neutrons and gammas were tracked and analyzed to determine three performance parameters: neutron beam-width, primary neutron flux, and the output quality. To evaluate these parameters, the simulated neutron beams are then regenerated for a NSECT breast scan. Scan involved a realistic breast lesion implanted into an anthropomorphic female phantom.

This work indicates potential for collimating and shielding a DD neutron generator for use in a clinical NSECT system. The proposed collimator designs produced a well-collimated neutron beam that can be used for NSECT breast imaging. The aperture diameter showed a strong correlation to the beam-width, where the collimated neutron beam-width was about 10% larger than the physical aperture diameter. In addition, a collimator opening consisting of a tapering inlet and cylindrical outlet allowed greater neutron throughput when compared to a simple cylindrical opening. The tapering inlet design can allow additional neutron throughput when the neck is placed farther from the source. On the other hand, the tapering designs also decrease output quality (i.e. increase in stray neutrons outside the primary collimated beam). All collimators are cataloged in measures of beam-width, neutron flux, and output quality. For a particular NSECT application, an optimal choice should be based on the collimator specifications listed in this work.

Labor Scheduling Using NPV Estimates of the Marginal Benefit of Additional Labor Capacity

An extensive literature exists on the problems of daily (shift) and weekly (tour) labor scheduling. In representing requirements for employees in these problems, researchers have used formulations based either on the model of Dantzig (1954) or on the model of Keith (1979). We show that both formulations have weakness in environments where management knows, or can attempt to identify, how different levels of customer service affect profits. These weaknesses results in lower-than-necessary profits. This paper presents a New Formulation of the daily and weekly Labor Scheduling Problems (NFLSP) designed to overcome the limitations of earlier models. NFLSP incorporates information on how changing the number of employees working in each planning period affects profits. NFLP uses this information during the development of the schedule to identify the number of employees who, ideally, should be working in each period. In an extensive simulation of 1,152 service environments, NFLSP outperformed the formulations of Dantzig (1954) and Keith (1979) at a level of significance of 0.001. Assuming year-round operations and an hourly wage, including benefits, of $6.00, NFLSP's schedules were $96,046 (2.2%) and $24,648 (0.6%) more profitable, on average, than schedules developed using the formulations of Danzig (1954) and Keith (1979), respectively. Although the average percentage gain over Keith's model was fairly small, it could be much larger in some real cases with different parameters. In 73 and 100 percent of the cases we simulated NFLSP yielded a higher profit than the models of Keith (1979) and Danzig (1954), respectively.

Diagnosis of intra-abdominal injuries can be challenging in multitrauma patients with associated injuries. Our experience and review of the literature

ntroduction. Trauma is the most common cause of death and disability among patients during the first four decades of life. Abdominal trauma is reported to be the 3rd most common injured region. Clinical examination may be unreliable in the evaluation of these patients especially in the presence of associated injuries. Therefore the use of diagnostic tools is essential in the management of the injured patient with abdominal trauma and additional injuries. Patients and Methods. During 1 year period from December 2010 to November 2011 we recorded the patients that presented to the emergency department of our hospital and were found to suffer from intra-abdominal injuries. These patients were divided in two groups depending on whether they had additional comorbid injuries or not. Several parameters were recorded and compared between the two groups, such as mechanism of injury, general status and hemodynamic stability of the patient on presentation, physical examination, use of imaging modalities and concomitant findings, need for surgical intervention and mortality rates. Furthermore the discrepancy between physical findings and final diagnosis after the use of diagnostic adjuncts is reported. Results. We recorded 31 patients with abdominal trauma. 13 (42%) patients were found to suffer from abdominal trauma and associated injuries (Group I), whereas 18 (58%) presented with abdominal trauma alone (Group II). The patients of the first group presented hemodynamic instability in 38% of cases while the patients of the second in 22% of cases. Reduced consciousness was present in 38% in group I versus 17% in group II. Signs of abdominal injury during clinical examination were present in only 15% in group I versus 72% in group II that represented a remarkable difference between the two groups. Conservative treatment was possible in 15% of patients with additional injuries and in 22% of patients with abdominal injury alone. In group I there were two deaths whereas in group II all patients survived. Conclusion. In patients with abdominal trauma, associated injuries seem to add to the severity of injury and indicate a worse prognosis. Clinical examination is unreliable and misleading in the majority of these patients and the use of diagnostic tools cannot be overemphasized.

Produção e degradação da serrapilheira de espécies lenhosas da caatinga e sua contribuição na recuperação de áreas degradadas.

Resumo: O entendimento do fluxo de produção e do aporte de nutrientes via decomposição da serrapilheira e as interações do processo com parâmetros edáficos e ciclagem de nutrientes de espécies nativas da Caatinga têm sido pouco estudados. O conhecimento sobre ciclagem de nutrientes em florestas manejadas também permite inferências sobre as espécies com maior capacidade de reciclagem de nutrientes e seu potencial para recuperação de áreas degradadas. Objetivou-se com isso avaliar a produção e a degradação da serrapilheira de oito espécies lenhosas da Caatinga e mensurar os efeitos de sua aplicação sobre a fertilidade do solo e sobre a produção de sorgo em solo degradado. Para isso realizou-se três ensaios: para o ensaio I quantificou-se a produção de serrapilheira em um delineamento inteiramente casualizado com 6 repetições, por meio da instalação de coletores sob a projeção da copa das espécies (tratamentos): mofumbo, sabiá, jurema-preta, jucá, catingueira, pereiro, pau-branco e marmeleiro, sendo o material coletado mensalmente; foram quantificadas a produção das frações folhas, caule, material reprodutivo, miscelânea e total, bem como o aporte de nutrientes no período chuvoso e seco. Para o ensaio II avaliou-se a taxa de degradação da fração folhas de cada espécie citada por meio da utilização de litter bags, em delineamento inteiramente casualizado com 4 repetições, as coletas foram aos 0, 30, 60, 90, 120 e 150 dias, em seguida quantificou-se os macro e micronutrientes, celulose, lignina e carbono em cada tempo de amostragem. Para o ensaio III, realizou-se experimento em casa de vegetação para mensurar os efeitos da aplicação dos resíduos da serrapilheira das mesmas espécies mencionadas nos ensaios anteriores (I e II) sobre a fertilidade do solo e a produção de sorgo em solo degradado, neste experimento adotou-se o delineamento em blocos casualizados com 5 tratamentos e 5 repetições, sendo avaliadas doses equivalentes a: 0, 15, 30, 60 e 120 kg ha-1 de N dos resíduos de cada espécie e um tratamento adicional com adubação mineral, totalizando 30 unidades experimentais para cada espécie. As variáveis mensuradas foram biométricas, biomassa, teor relativo de clorofila e nitrogênio total, além de análises de fertilidade do solo. Com a análise dos dados verificou-se que a época de maior produção de serrapilheira ocorreu no final do período chuvoso para o início do período seco. A espécie jucá apresentou maior produção de serrapilheira, comparado às outras espécies. O nutriente cálcio apresentou maior acúmulo na serrapilheira para as espécies mofumbo, sabiá, catingueira, pereiro e marmeleiro e o nitrogênio foi superior para as espécies jurema-preta, jucá e pau-branco. Para todas as espécies avaliadas no ensaio de degradação houve redução significativa na sua biomassa em relação ao tempo zero, apresentando a seguinte ordem de velocidade de decomposição: jurema-preta > catingueira > pau-branco > jucá > marmeleiro > mofumbo > pereiro > sabiá. No ensaio de fertilização com os resíduos verificou-se que o marmeleiro promoveu efeitos negativos no solo, como acidificação. Porém, a aplicação dos resíduos da espécie pau-branco foi a que promoveu aumento nos valores de K, SB e CEC do solo e na produção do sorgo os resíduos de jurema-preta e pau-branco foram as que promoveram aumento na massa seca das plantas. Enquanto a adubação mineral proporcionou aumento na produção de massa seca do sorgo, demonstrando que a associação entre adubo mineral e o uso da serrapilheira de espécies da Caatinga pode ser uma opção viável para acelerar a recuperação de solos degradados. Abstract: The understanding of the production flow and nutrient supply via decomposition of litter and process interactions with edaphic parameters and nutrient cycling of native species of the Caatinga has been little studied. The knowledge of nutrient cycling in managed forests also allow inferences about species with capacity greater nutrient recycling capacity and its potential for recovery of degraded areas. This study aimed to evaluate the production and litter degradation 8 woody species of Caatinga and measure the effects of its application on soil fertility and production of sorghum in degraded soil. To this was carried out three tests: for the test I quantified the production of litter in a completely randomized design with 6 replications, by installing collectors under the canopy projection in the species (treatments): mofumbo, sabiá, jurema-preta, jucá, catingueira, pereiro, pau-branco and marmeleiro for each species, and the material collected monthly, were quantified the production of fractions leaves, stem, reproductive material, miscellany and total nutrient intake in the rainy and dry season. For II test evaluated the degradation rate of the fraction leaves through the use of litter bags, in a completely randomized design with 4 replications, the collected was 0, 30, 60, 90, 120 and 150 days and quantitated nutrients, cellulose, lignin and carbon at each evaluation time. For the III test, there was the experiment in a greenhouse to measure the effects of the application of litter waste of the same species of previous tests (I and II) on soil fertility and production of sorghum in degraded soil, was adopted the randomized block design with 5 treatments and 5 replications and evaluated doses equivalent to: 0, 15, 30, 60 and 120 kg ha-1 N of waste each species and an additional treatment with mineral fertilizer, totaling 30 experimental units for each species. Biometric analysis and biomass, relative chlorophyll content and total nitrogen were proceeded. In addition to soil fertility analysis. With the data analysis it was found that the time of greatest litterfall occurred at the end of the rainy season to the beginning of the dry season. The jucá species showed higher production compared to other species. The nutrient calcium had higher accumulation for the species mofumbo, sabiá, catingueira, pereiro and marmeleiro and nitrogen was higher for species jurema-preta, jucá and pau-branco. All species evaluated in degradation test had a significant reduction in biomass over time zero. They presented the following order of decomposition rate: jurema-preta > catingueira > pau-branco > jucá > marmeleiro > mofumbo > pereiro > sabiá. For fertility test it was found that marmeleiro promoted negative effects on soil, such as acidification. However, pau-branco was the specie that promoted further improvements in the K values, SB and CEC to the soil and for the production of sorghum, the waste jurema-preta and pau-branco promoted increase in dry matter plants. While the mineral fertilization provided an increase in dry matter production of sorghum, demonstrating that the combination of mineral fertilizer and the use of litter of Caatinga species may be a viable option to speed up the recovery of degraded soils.

New parameters for daytime wandering

This study aimed to describe wandering using new parameters and to evaluate parameters as a function of cognitive impairment and mobility. Forty-four wanderers in long-term care settings were videotaped 12 times. Rate and duration of wandering episodes were plotted and used to derive parameters from values above and below case medians, proportion of hours wandering, and time of day. Participants wandered during 47% of observations; on average, the hourly rate was 4.3 episodes, the peak hourly rate was 18 episodes, and the peak hourly duration was 19.9 minutes. Mini-Mental State Examination (MMSE) scores was negatively correlated with overall duration and number of observations during which duration exceeded 15 minutes per hour, was positively correlated with number of observations without wandering, and was not significantly correlated with rate-related parameters. Mobility correlated positively with rate and duration parameters. Interaction of MMSE score and mobility was the strongest predictor of wandering duration. Parameters derived from repeated measures provide a new view of daytime wandering and insight into relationships between MMSE score and mobility status with specific parameters of wandering.

Groundwater flow model of the Logan river alluvial aquifer system Josephville, South East Queensland

The study focuses on an alluvial plain situated within a large meander of the Logan River at Josephville near Beaudesert which supports a factory that processes gelatine. The plant draws water from on site bores, as well as the Logan River, for its production processes and produces approximately 1.5 ML per day (Douglas Partners, 2004) of waste water containing high levels of dissolved ions. At present a series of treatment ponds are used to aerate the waste water reducing the level of organic matter; the water is then used to irrigate grazing land around the site. Within the study the hydrogeology is investigated, a conceptual groundwater model is produced and a numerical groundwater flow model is developed from this. On the site are several bores that access groundwater, plus a network of monitoring bores. Assessment of drilling logs shows the area is formed from a mixture of poorly sorted Quaternary alluvial sediments with a laterally continuous aquifer comprised of coarse sands and fine gravels that is in contact with the river. This aquifer occurs at a depth of between 11 and 15 metres and is overlain by a heterogeneous mixture of silts, sands and clays. The study investigates the degree of interaction between the river and the groundwater within the fluvially derived sediments for reasons of both environmental monitoring and sustainability of the potential local groundwater resource. A conceptual hydrogeological model of the site proposes two hydrostratigraphic units, a basal aquifer of coarse-grained materials overlain by a thick semi-confining unit of finer materials. From this, a two-layer groundwater flow model and hydraulic conductivity distribution was developed based on bore monitoring and rainfall data using MODFLOW (McDonald and Harbaugh, 1988) and PEST (Doherty, 2004) based on GMS 6.5 software (EMSI, 2008). A second model was also considered with the alluvium represented as a single hydrogeological unit. Both models were calibrated to steady state conditions and sensitivity analyses of the parameters has demonstrated that both models are very stable for changes in the range of ± 10% for all parameters and still reasonably stable for changes up to ± 20% with RMS errors in the model always less that 10%. The preferred two-layer model was found to give the more realistic representation of the site, where water level variations and the numerical modeling showed that the basal layer of coarse sands and fine gravels is hydraulically connected to the river and the upper layer comprising a poorly sorted mixture of silt-rich clays and sands of very low permeability limits infiltration from the surface to the lower layer. The paucity of historical data has limited the numerical modelling to a steady state one based on groundwater levels during a drought period and forecasts for varying hydrological conditions (e.g. short term as well as prolonged dry and wet conditions) cannot reasonably be made from such a model. If future modelling is to be undertaken it is necessary to establish a regular program of groundwater monitoring and maintain a long term database of water levels to enable a transient model to be developed at a later stage. This will require a valid monitoring network to be designed with additional bores required for adequate coverage of the hydrogeological conditions at the Josephville site. Further investigations would also be enhanced by undertaking pump testing to investigate hydrogeological properties in the aquifer.

GPS fault detection with IMU and aircraft dynamics

Approaches with Vertical Guidance (APV) can provide greater safety and cost savings to general aviation through accurate GPS horizontal and vertical navigation. However, GPS needs augmentation to achieve APV fault detection requirements. Aircraft Based Augmentation Systems (ABAS) fuse GPS with additional sensors at the aircraft. Typical ABAS designs assume high-quality inertial sensors with Kalman filters but these are too expensive for general aviation. Instead of using high-quality (and expensive) sensors, the purpose of this paper is to investigate augmenting GPS with a low-quality MEMS IMU and Aircraft Dynamic Model (ADM). The IMU and ADM are fused together using a multiple model fusion strategy in a bank of Extended Kalman Filters (EKF) with the Normalized Solution Separation (NSS) fault detection scheme. A tightly-coupled configuration with GPS is used and frequent GPS updates are applied to the IMU and ADM to compensate for their errors. Based upon a simulated APV approach, the performance of this architecture in detecting a GPS ramp fault is investigated showing a performance improvement over a GPS-only “snapshot” implementation of the NSS method. The effect of fusing the IMU with the ADM is evaluated by comparing a GPS-IMU-ADM EKF with a GPS-IMU EKF where a small improvement in protection levels is shown.

Freeway traffic oscillations : microscopic analysis of formations and propagations using Wavelet Transform

In this paper we identify the origins of stop-and-go (or slow-and-go) driving and measure microscopic features of their propagations by analyzing vehicle trajectories via Wavelet Transform. Based on 53 oscillation cases analyzed, we find that oscillations can be originated by either lane-changing maneuvers (LCMs) or car-following behavior (CF). LCMs were predominantly responsible for oscillation formations in the absence of considerable horizontal or vertical curves, whereas oscillations formed spontaneously near roadside work on an uphill segment. Regardless of the trigger, the features of oscillation propagations were similar in terms of propagation speed, oscillation duration, and amplitude. All observed cases initially exhibited a precursor phase, in which slow-and-go motions were localized. Some of them eventually transitioned into a well developed phase, in which oscillations propagated upstream in queue. LCMs were primarily responsible for the transition, although some transitions occurred without LCMs. Our findings also suggest that an oscillation has a regressive effect on car following behavior: a deceleration wave of an oscillation affects a timid driver (with larger response time and minimum spacing) to become less timid and an aggressive driver less aggressive, although this change may be short-lived. An extended framework of Newell’s CF is able to describe the regressive effects with two additional parameters with reasonable accuracy, as verified using vehicle trajectory data.

Early intervention music therapy : reporting on a 3-year project to address needs with at-risk families

Sing & Grow is an early intervention music therapy project presented to families with additional needs, or those at risk of experiencing disadvantage due to social and/or economic circumstances that may impact on their parenting experiences. The aim of the project is to provide short term music therapy programs to families in communities where access to such services may be limited. The program is strengths-based and focuses on building upon a parent’s capacity to relate to and respond to their child’s emotional and developmental needs.

Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies

Background The expansion of cell colonies is driven by a delicate balance of several mechanisms including cell motility, cell-to-cell adhesion and cell proliferation. New approaches that can be used to independently identify and quantify the role of each mechanism will help us understand how each mechanism contributes to the expansion process. Standard mathematical modelling approaches to describe such cell colony expansion typically neglect cell-to-cell adhesion, despite the fact that cell-to-cell adhesion is thought to play an important role. Results We use a combined experimental and mathematical modelling approach to determine the cell diffusivity, D, cell-to-cell adhesion strength, q, and cell proliferation rate, ?, in an expanding colony of MM127 melanoma cells. Using a circular barrier assay, we extract several types of experimental data and use a mathematical model to independently estimate D, q and ?. In our first set of experiments, we suppress cell proliferation and analyse three different types of data to estimate D and q. We find that standard types of data, such as the area enclosed by the leading edge of the expanding colony and more detailed cell density profiles throughout the expanding colony, does not provide sufficient information to uniquely identify D and q. We find that additional data relating to the degree of cell-to-cell clustering is required to provide independent estimates of q, and in turn D. In our second set of experiments, where proliferation is not suppressed, we use data describing temporal changes in cell density to determine the cell proliferation rate. In summary, we find that our experiments are best described using the range D = 161 - 243 ?m2 hour-1, q = 0.3 - 0.5 (low to moderate strength) and ? = 0.0305 - 0.0398 hour-1, and with these parameters we can accurately predict the temporal variations in the spatial extent and cell density profile throughout the expanding melanoma cell colony. Conclusions Our systematic approach to identify the cell diffusivity, cell-to-cell adhesion strength and cell proliferation rate highlights the importance of integrating multiple types of data to accurately quantify the factors influencing the spatial expansion of melanoma cell colonies.

GNSS ambiguity resolution with controllable failure rate for long baseline network RTK

Many large-scale GNSS CORS networks have been deployed around the world to support various commercial and scientific applications. To make use of these networks for real-time kinematic positioning services, one of the major challenges is the ambiguity resolution (AR) over long inter-station baselines in the presence of considerable atmosphere biases. Usually, the widelane ambiguities are fixed first, followed by the procedure of determination of the narrowlane ambiguity integers based on the ionosphere-free model in which the widelane integers are introduced as known quantities. This paper seeks to improve the AR performance over long baseline through efficient procedures for improved float solutions and ambiguity fixing. The contribution is threefold: (1) instead of using the ionosphere-free measurements, the absolute and/or relative ionospheric constraints are introduced in the ionosphere-constrained model to enhance the model strength, thus resulting in the better float solutions; (2) the realistic widelane ambiguity precision is estimated by capturing the multipath effects due to the observation complexity, leading to improvement of reliability of widelane AR; (3) for the narrowlane AR, the partial AR for a subset of ambiguities selected according to the successively increased elevation is applied. For fixing the scalar ambiguity, an error probability controllable rounding method is proposed. The established ionosphere-constrained model can be efficiently solved based on the sequential Kalman filter. It can be either reduced to some special models simply by adjusting the variances of ionospheric constraints, or extended with more parameters and constraints. The presented methodology is tested over seven baselines of around 100 km from USA CORS network. The results show that the new widelane AR scheme can obtain the 99.4 % successful fixing rate with 0.6 % failure rate; while the new rounding method of narrowlane AR can obtain the fix rate of 89 % with failure rate of 0.8 %. In summary, the AR reliability can be efficiently improved with rigorous controllable probability of incorrectly fixed ambiguities.

Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities

Unsaturated water flow in soil is commonly modelled using Richards’ equation, which requires the hydraulic properties of the soil (e.g., porosity, hydraulic conductivity, etc.) to be characterised. Naturally occurring soils, however, are heterogeneous in nature, that is, they are composed of a number of interwoven homogeneous soils each with their own set of hydraulic properties. When the length scale of these soil heterogeneities is small, numerical solution of Richards’ equation is computationally impractical due to the immense effort and refinement required to mesh the actual heterogeneous geometry. A classic way forward is to use a macroscopic model, where the heterogeneous medium is replaced with a fictitious homogeneous medium, which attempts to give the average flow behaviour at the macroscopic scale (i.e., at a scale much larger than the scale of the heterogeneities). Using the homogenisation theory, a macroscopic equation can be derived that takes the form of Richards’ equation with effective parameters. A disadvantage of the macroscopic approach, however, is that it fails in cases when the assumption of local equilibrium does not hold. This limitation has seen the introduction of two-scale models that include at each point in the macroscopic domain an additional flow equation at the scale of the heterogeneities (microscopic scale). This report outlines a well-known two-scale model and contributes to the literature a number of important advances in its numerical implementation. These include the use of an unstructured control volume finite element method and image-based meshing techniques, that allow for irregular micro-scale geometries to be treated, and the use of an exponential time integration scheme that permits both scales to be resolved simultaneously in a completely coupled manner. Numerical comparisons against a classical macroscopic model confirm that only the two-scale model correctly captures the important features of the flow for a range of parameter values.