Body composition: overview of methods and future directions of research.

A short overview is given on the most important analytical body composition methods. Principles of the methods and advantages and limitations of the methods are discussed also in relation to other fields of research such as energy metabolism. Attention is given to some new developments in body composition research such as chemical multiple-compartment models, computerized tomography or nuclear magnetic resonance imaging (tissue level), and multifrequency bioelectrical impedance. Possible future directions of body composition research in the light of these new developments are discussed.

A comparative analysis of two methods for the calculation of electric-field-induced perturbations to molecular vibration

Two common methods of accounting for electric-field-induced perturbations to molecular vibration are analyzed and compared. The first method is based on a perturbation-theoretic treatment and the second on a finite-field treatment. The relationship between the two, which is not immediately apparent, is made by developing an algebraic formalism for the latter. Some of the higher-order terms in this development are documented here for the first time. As well as considering vibrational dipole polarizabilities and hyperpolarizabilities, we also make mention of the vibrational Stark effec

A comparative analysis by means of quantum molecular similarity measures of density distributions derived from conventional ab initio and density functional methods

A procedure based on quantum molecular similarity measures (QMSM) has been used to compare electron densities obtained from conventional ab initio and density functional methodologies at their respective optimized geometries. This method has been applied to a series of small molecules which have experimentally known properties and molecular bonds of diverse degrees of ionicity and covalency. Results show that in most cases the electron densities obtained from density functional methodologies are of a similar quality than post-Hartree-Fock generalized densities. For molecules where Hartree-Fock methodology yields erroneous results, the density functional methodology is shown to yield usually more accurate densities than those provided by the second order Møller-Plesset perturbation theory

Two complementary molecular energy decomposition schemes: the Mayer and Ziegler-Rauk methods in comparison

In the present paper we discuss and compare two different energy decomposition schemes: Mayer's Hartree-Fock energy decomposition into diatomic and monoatomic contributions [Chem. Phys. Lett. 382, 265 (2003)], and the Ziegler-Rauk dissociation energy decomposition [Inorg. Chem. 18, 1558 (1979)]. The Ziegler-Rauk scheme is based on a separation of a molecule into fragments, while Mayer's scheme can be used in the cases where a fragmentation of the system in clearly separable parts is not possible. In the Mayer scheme, the density of a free atom is deformed to give the one-atom Mulliken density that subsequently interacts to give rise to the diatomic interaction energy. We give a detailed analysis of the diatomic energy contributions in the Mayer scheme and a close look onto the one-atom Mulliken densities. The Mulliken density ρA has a single large maximum around the nuclear position of the atom A, but exhibits slightly negative values in the vicinity of neighboring atoms. The main connecting point between both analysis schemes is the electrostatic energy. Both decomposition schemes utilize the same electrostatic energy expression, but differ in how fragment densities are defined. In the Mayer scheme, the electrostatic component originates from the interaction of the Mulliken densities, while in the Ziegler-Rauk scheme, the undisturbed fragment densities interact. The values of the electrostatic energy resulting from the two schemes differ significantly but typically have the same order of magnitude. Both methods are useful and complementary since Mayer's decomposition focuses on the energy of the finally formed molecule, whereas the Ziegler-Rauk scheme describes the bond formation starting from undeformed fragment densities

Prospective analysis of KRAS, BRAF, and PIK3CA mutations and EGFR copy number in patients (pts) with locally advanced rectal cancer: A translational substudy of a clinical trial (SAKK 41/07) evaluating the effect of neoadjuvant chemoradiation (CRT) with or without panitumumab

Background: Prognostic and predictive markers are of great importance for future study designs and essential for the interpretation of clinical trials incorporating an EGFR-inhibitor. The current study prospectively assessed and validated KRAS, BRAF and PIK3CA mutations in rectal cancer patients screened for the trial SAKK41/07 of concomitant preoperative radio-chemotherapy with or without panitumumab.Methods: Macrodissection was performed on pretreatment formalin fixed paraffin embedded biopsy tissue sections to arrive at a minimum of 50% of tumor cells. DNA was extracted with the Maxwell 16 FFPE Tissue LEV DNA purification kit. After PCR amplification, mutations were identified by pyrosequencing. We prospectively analysed pretreatment biopsy material from 149 rectal cancer pts biopsies for KRAS (exon 2 codon 12 [2-12] and 13 [2-13], exon 3 codon 59 [3-59]) and 61 [3-61], exon 4 codon 117 [4-117] and 146 [4-146]). Sixty-eight pts (KRASwt exon 2, 3 only) were further analysed for BRAF (exon 15 codon 600) and PIK3CA (exon 9 codon 542, 545 and 546, exon 20 codon 1043 [20-1043] and 1047 [20-1047]) mutations, and EGFR copy number by qPCR. For the calculation of the EGFR copy number, we used KRAS copy number as internal reference standard. The calculation was done on the basis of the two standard curves relative quantification method.Results: In 149 screened pts with rectal cancer, the prevalence of KRAS mutations was 36%. Among the 68 pts enrolled in SAKK 41/07 based on initially presumed KRASwt status (exon 2/codons 12+13), 18 pts (26%) had a total of 23 mutations in the RAS/PIK3CA-pathways upon validation analysis. Twelve pts had a KRAS mutation, 7 pts had a PIK3CA mutation, 3 pts had a NRAS mutation, 1 patient a BRAF mutation. Surprisingly, five of these pts had double- mutations, including 4 pts with KRAS plus PIK3CA mutations, and 1 pt with NRAS plus PIK3CA mutations. The median normalized EGFR copy number was 1. Neither mutations of KRAS, BRAF, and PIK3CA, nor EGFR copy number were statistically associated with the primary study endpoint pCR (pathological complete regression).Conclusions: The prevalence of KRAS mutations in rectal and in colon cancer appears to be similar. BRAF mutations are rare; PIK3CA mutations are more common (10%). EGFR copy number is not increased in rectal cancer. A considerable number or KRAS exon 2 wt tumors harbored KRAS exon 3+4 mutations. Further study is needed to determine if KRAS testing should include exons 2-4.

Simulation methods with extended stability for stiff biochemical kinetics

Background: With increasing computer power, simulating the dynamics of complex systems in chemistry and biology is becoming increasingly routine. The modelling of individual reactions in (bio)chemical systems involves a large number of random events that can be simulated by the stochastic simulation algorithm (SSA). The key quantity is the step size, or waiting time, τ, whose value inversely depends on the size of the propensities of the different channel reactions and which needs to be re-evaluated after every firing event. Such a discrete event simulation may be extremely expensive, in particular for stiff systems where τ can be very short due to the fast kinetics of some of the channel reactions. Several alternative methods have been put forward to increase the integration step size. The so-called τ-leap approach takes a larger step size by allowing all the reactions to fire, from a Poisson or Binomial distribution, within that step. Although the expected value for the different species in the reactive system is maintained with respect to more precise methods, the variance at steady state can suffer from large errors as τ grows. Results: In this paper we extend Poisson τ-leap methods to a general class of Runge-Kutta (RK) τ-leap methods. We show that with the proper selection of the coefficients, the variance of the extended τ-leap can be well-behaved, leading to significantly larger step sizes.Conclusions: The benefit of adapting the extended method to the use of RK frameworks is clear in terms of speed of calculation, as the number of evaluations of the Poisson distribution is still one set per time step, as in the original τ-leap method. The approach paves the way to explore new multiscale methods to simulate (bio)chemical systems.

Evaluation of Different Methods to Calculate Heavy-Truck VMT, Final Report, December 2004

Reliable estimates of heavy-truck volumes are important in a number of transportation applications. Estimates of truck volumes are necessary for pavement design and pavement management. Truck volumes are important in traffic safety. The number of trucks on the road also influences roadway capacity and traffic operations. Additionally, heavy vehicles pollute at higher rates than passenger vehicles. Consequently, reliable estimates of heavy-truck vehicle miles traveled (VMT) are important in creating accurate inventories of on-road emissions. This research evaluated three different methods to calculate heavy-truck annual average daily traffic (AADT) which can subsequently be used to estimate vehicle miles traveled (VMT). Traffic data from continuous count stations provided by the Iowa DOT were used to estimate AADT for two different truck groups (single-unit and multi-unit) using the three methods. The first method developed monthly and daily expansion factors for each truck group. The second and third methods created general expansion factors for all vehicles. Accuracy of the three methods was compared using n-fold cross-validation. In n-fold cross-validation, data are split into n partitions, and data from the nth partition are used to validate the remaining data. A comparison of the accuracy of the three methods was made using the estimates of prediction error obtained from cross-validation. The prediction error was determined by averaging the squared error between the estimated AADT and the actual AADT. Overall, the prediction error was the lowest for the method that developed expansion factors separately for the different truck groups for both single- and multi-unit trucks. This indicates that use of expansion factors specific to heavy trucks results in better estimates of AADT, and, subsequently, VMT, than using aggregate expansion factors and applying a percentage of trucks. Monthly, daily, and weekly traffic patterns were also evaluated. Significant variation exists in the temporal and seasonal patterns of heavy trucks as compared to passenger vehicles. This suggests that the use of aggregate expansion factors fails to adequately describe truck travel patterns.

Analysis of epidermis- and mesophyll-specific transcript accumulation in powdery mildew-inoculated wheat leaves.

Powdery mildew is an important disease of wheat caused by the obligate biotrophic fungus Blumeria graminis f. sp. tritici. This pathogen invades exclusively epidermal cells after penetrating directly through the cell wall. Because powdery mildew colonizes exclusively epidermal cells, it is of importance not only to identify genes which are activated, but also to monitor tissue specificity of gene activation. Acquired resistance of wheat to powdery mildew can be induced by a previous inoculation with the non-host pathogen B. graminis f. sp. hordei, the causal agent of barley powdery mildew. The establishment of the resistant state is accompanied by the activation of genes. Here we report the tissue-specific cDNA-AFLP analysis and cloning of transcripts accumulating 6 and 24 h after the resistance-inducing inoculation with B. graminis f. sp. hordei. A total of 25,000 fragments estimated to represent about 17,000 transcripts were displayed. Out of these, 141 transcripts, were found to accumulate after Bgh inoculation using microarray hybridization analysis. Forty-four accumulated predominantly in the epidermis whereas 76 transcripts accumulated mostly in mesophyll tissue.

Direct and indirect root defences of milkweed (Asclepias syriaca): trophic cascades, trade-offs and novel methods for studying subterranean herbivory

P>1. Entomopathogenic nematodes can function as indirect defence for plants that are attacked by root herbivores. By releasing volatile organic compounds (VOCs), plants signal the presence of host insects and thereby attract nematodes.2. Nonetheless, how roots deploy indirect defences, how indirect defences relate to direct defences, and the ecological consequences of root defence allocation for herbivores and plant biomass are essentially unknown.3. We investigate a natural below-ground tritrophic system, involving common milkweed, a specialist root-boring beetle and entomopathogenic nematodes, and asked whether there is a negative genetic correlation between direct defences (root cardenolides) and indirect defences (emission of volatiles in the roots and nematode attraction), and between constitutive and inducible defences.4. Volatiles of roots were analysed using two distinct sampling methods. First, we collected emissions from living Asclepias syriaca roots by dynamic headspace sampling. This method showed that attacked A. syriaca plants emit five times higher levels of volatiles than control plants. Secondly, we used a solid phase micro-extraction (SPME) method to sample the full pool of volatiles in roots for genetic correlations of volatile biosynthesis.5. Field experiments showed that entomopathogenic nematodes prevent the loss of biomass to root herbivory. Additionally, suppression of root herbivores was mediated directly by cardenolides and indirectly by the attraction of nematodes. Genetic families of plants with high cardenolides benefited less from nematodes compared to low-cardenolide families, suggesting that direct and indirect defences may be redundant. Although constitutive and induced root defences traded off within each strategy (for both direct and indirect defence, cardenolides and VOCs, respectively), we found no trade-off between the two strategies.6. Synthesis. Constitutive expression and inducibility of defences may trade off because of resource limitation or because they are redundant. Direct and indirect defences do not trade off, likely because they may not share a limiting resource and because independently they may promote defence across the patchiness of herbivore attack and nematode presence in the field. Indeed, some redundancy in strategies may be necessary to increase effective defence, but for each strategy, an economy of deployment reduces overall costs.

Practical considerations for conducting ecotoxicity test methods with manufactured nanomaterials: what have we learnt so far?

This review paper reports the consensus of a technical workshop hosted by the European network, NanoImpactNet (NIN). The workshop aimed to review the collective experience of working at the bench with manufactured nanomaterials (MNMs), and to recommend modifications to existing experimental methods and OECD protocols. Current procedures for cleaning glassware are appropriate for most MNMs, although interference with electrodes may occur. Maintaining exposure is more difficult with MNMs compared to conventional chemicals. A metal salt control is recommended for experiments with metallic MNMs that may release free metal ions. Dispersing agents should be avoided, but if they must be used, then natural or synthetic dispersing agents are possible, and dispersion controls essential. Time constraints and technology gaps indicate that full characterisation of test media during ecotoxicity tests is currently not practical. Details of electron microscopy, dark-field microscopy, a range of spectroscopic methods (EDX, XRD, XANES, EXAFS), light scattering techniques (DLS, SLS) and chromatography are discussed. The development of user-friendly software to predict particle behaviour in test media according to DLVO theory is in progress, and simple optical methods are available to estimate the settling behaviour of suspensions during experiments. However, for soil matrices such simple approaches may not be applicable. Alternatively, a Critical Body Residue approach may be taken in which body concentrations in organisms are related to effects, and toxicity thresholds derived. For microbial assays, the cell wall is a formidable barrier to MNMs and end points that rely on the test substance penetrating the cell may be insensitive. Instead assays based on the cell envelope should be developed for MNMs. In algal growth tests, the abiotic factors that promote particle aggregation in the media (e.g. ionic strength) are also important in providing nutrients, and manipulation of the media to control the dispersion may also inhibit growth. Controls to quantify shading effects, and precise details of lighting regimes, shaking or mixing should be reported in algal tests. Photosynthesis may be more sensitive than traditional growth end points for algae and plants. Tests with invertebrates should consider non-chemical toxicity from particle adherence to the organisms. The use of semi-static exposure methods with fish can reduce the logistical issues of waste water disposal and facilitate aspects of animal husbandry relevant to MMNs. There are concerns that the existing bioaccumulation tests are conceptually flawed for MNMs and that new test(s) are required. In vitro testing strategies, as exemplified by genotoxicity assays, can be modified for MNMs, but the risk of false negatives in some assays is highlighted. In conclusion, most protocols will require some modifications and recommendations are made to aid the researcher at the bench. [Authors]

Methods and representativeness of European surveys in children and adolescents: the KIDSCREEN study

Background: The objective of the present study was to compare three different sampling and questionnaire administration methods used in the international KIDSCREEN study in terms of participation, response rates, and external validity. Methods: Children and adolescents aged 8–18 years were surveyed in 13 European countries using either telephone sampling and mail administration, random sampling of school listings followed by classroom or mail administration, or multistage random sampling of communities and households with self-administration of the survey materials at home. Cooperation, completion, and response rates were compared across countries and survey methods. Data on non-respondents was collected in 8 countries. The population fraction (PF, respondents in each sex-age, or educational level category, divided by the population in the same category from Eurostat census data) and population fraction ratio (PFR, ratio of PF) and their corresponding 95% confidence intervals were used to analyze differences by country between the KIDSCREEN samples and a reference Eurostat population. Results: Response rates by country ranged from 18.9% to 91.2%. Response rates were highest in the school-based surveys (69.0%–91.2%). Sample proportions by age and gender were similar to the reference Eurostat population in most countries, although boys and adolescents were slightly underrepresented (PFR <1). Parents in lower educational categories were less likely to participate (PFR <1 in 5 countries). Parents in higher educational categories were overrepresented when the school and household sampling strategies were used (PFR = 1.78–2.97). Conclusion: School-based sampling achieved the highest overall response rates but also produced slightly more biased samples than the other methods. The results suggest that the samples were sufficiently representative to provide reference population values for the KIDSCREEN instrument.

Genome reconstruction and comparative genomics of pneumocystis jirovecii

Pneumocystis jirovecii is a fungus belonging to a basal lineage of the Ascomycotina, the Taphrinomycotina subphylum. It is a parasite specific to humans that dwells primarily in the lung and can cause severe pneumonia in individuals with debilitated immune system. Despite its clinical importance, many aspects of its biology remain poorly understood, at least in part because of the lack of a continuous in vitro cultivation system. The present thesis consists in the genome reconstruction and comparative genomics of P. jirovecii. It is made of three parts: (i) the de novo sequencing of P. jirovecii genome starting from a single broncho- alveolar lavage fluid of a single patient (ii) the de novo sequencing of the genome of the plant pathogen Taphrina deformans, a fungus closely related to P. jirovecii, and (iii) the genome scale comparison of P. jirovecii to other Taphrinomycotina members. Enrichment in P. jirovecii cells by immuno-precipitation, whole DNA random amplification, two complementary high throughput DNA sequencing methods, and in silico sorting and assembly of sequences were used for the de novo reconstruction of P. jirovecii genome from the microbiota of a single clinical specimen. An iterative ad hoc pipeline as well as numerical simulations was used to recover P. jirovecii sequences while purging out contaminants and assembly or amplification chimeras. This strategy produced a 8.1 Mb assembly, which encodes 3,898 genes. Homology searches, mapping on biochemical pathways atlases, and manual validations revealed that this genome lacks (i) most of the enzymes dedicated to the amino acids biosyntheses, and (ii) most virulence factors observed in other fungi, e.g. the glyoxylate shunt pathway and specific peptidases involved in the degradation of the host cell membrane. The same analyses applied to the available genomic sequences from Pneumocystis carinii the species infecting rats and Pneumocystis murina the species infecting mice revealed the same deficiencies. The genome sequencing of T. deformans yielded a 13 Mb assembly, which encodes 5,735 genes. T. deformans possesses enzymes involved plant cell wall degradation, secondary metabolism, the glyoxylate cycle, detoxification, sterol biosynthesis, as well as the biosyntheses of plant hormones such as abscisic acid or indole-3-acetic acid. T. deformans also harbors gene subsets that have counterparts in plant saprophytes or pathogens, which is consistent with its alternate saprophytic and pathogenic lifestyles. Mating genes were also identified. The homothallism of this fungus suggests a mating-type switching mechanism. Comparative analyses indicated that 81% of P. jirovecii genes are shared with eight other Taphrinomycotina members, including T. deformans, P. carinii and P. murina. These genes are mostly involved in housekeeping activities. The genes specific to the Pneumocystis genus represent 8%, and are involved in RNA metabolism and signaling. The signaling is known to be crucial for interaction of Pneumocystis spp with their environment. Eleven percent are unique to P. jirovecii and encode mostly proteins of unknown function. These genes in conjunction with other ones (e.g. the major surface glycoproteins) might govern the interaction of P. jirovecii with its human host cells, and potentially be responsible of the host specificity. P. jirovecii exhibits a reduced genome in size with a low GC content, and most probably scavenges vital compounds such as amino acids and cholesterol from human lungs. Consistently, its genome encodes a large set of transporters (ca. 22% of its genes), which may play a pivotal role in the acquisition of these compounds. All these features are generally observed in obligate parasite of various kingdoms (bacteria, protozoa, fungi). Moreover, epidemiological studies failed to evidence a free-living form of the fungus and Pneumocystis spp were shown to co-evolved with their hosts. Given also the lack of virulence factors, our observations strongly suggest that P. jirovecii is an obligate parasite specialized in the colonization of human lungs, and which causes disease only in individuals with compromised immune system. The same conclusion is most likely true for all other Pneumocystis spp in their respective mammalian host. - Pneumocystis jirovecii est un champignon appartenant à ine branche basale des Ascomycotina, le sous-embranchement des Taphrinomycotina. C'est un parasite spécifique aux humains qui réside principalement dans les poumons, et qui peut causer des pneumonies sévères chez des individus ayant un système immunitaire déficient. En dépit de son importance clinique, de nombreux aspects de sa biologie demeurent,largement méconnus, au moins en partie à cause de l'absence d'un système de culture in vitro continu. Cette thèse traite de la reconstruction du génome et de la génomique comparative de P. jirovecii. Elle comporte trois parties: (i) le séquençage de novo du génome de P. jirovecii à partir d'un lavage broncho-alvéolaire provenant d'un seul patient, (ii) le séquençage de novo du génome d'un champignon pathogène de plante Taphrina deformans qui est phylogénétiquement proche de P. jirovecii, et (iii) la comparaison du génome de P. jirovecii à celui d'autres membres du sous-embranchement des Taphrinomycotina. Un enrichissement en cellules de P. jirovecii par immuno-précipitation, une amplification aléatoire des molécules d'ADN, deux méthodes complémentaires de séquençage à haut débit, un tri in silico et un assemblage des séquences ont été utilisés pour reconstruire de novo le génome de P. jirovecii à partir du microbiote d'un seul échantillon clinique. Un pipeline spécifique ainsi que des simulations numériques ont été utilisés pour récupérer les séquences de P. jirovecii tout en éliminant les séquences contaminants et les chimères d'amplification ou d'assemblage. Cette stratégie a produit un assemblage de 8.1 Mb, qui contient 3898 gènes. Les recherches d'homologies, de cartographie des voies métaboliques et des validations manuelles ont révélé que ce génome est dépourvu (i) de la plupart des enzymes dédiées à la biosynthèse des acides aminés, et (ii) de la plupart des facteurs de virulence observés chez d'autres champignons, par exemple, le cycle du glyoxylate ainsi que des peptidases spécifiques impliquées dans la dégradation de la membrane de la cellule hôte. Les analyses appliquées aux données génomiques disponibles de Pneumocystis carinii, l'espèce infectant les rats, et de Pneumocystis murina, l'espèce infectant les souris, ont révélé les mêmes déficiences. Le séquençage du génome de T. deformans a généré un assemblage de 13.3 Mb qui contient 5735 gènes. T. deformans possède les gènes codant pour les enzymes impliquées dans la dégradation des parois cellulaires des plantes, le métabolisme secondaire, le cycle du glyoxylate, la détoxification, la biosynthèse des stérols ainsi que la biosynthèse d'hormones de plantes telles que l'acide abscissique ou l'acide indole 3-acétique. T. deformans possède également des sous-ensembles de gènes présents exclusivement chez des saprophytes ou des pathogènes de plantes, ce qui est consistent avec son mode de vie alternatif saprophyte et pathogène. Des gènes impliqués dans la conjugaison ont été identifiés. L'homothallisme de ce champignon suggère mécanisme de permutation du type conjuguant. Les analyses comparatives ont démontré que 81% des gènes de P. jirovecii sont présent chez les autres membres du sous-embranchement des Taphrinomycotina. Ces gènes sont essentiellement impliqués dans le métabolisme basai. Les gènes spécifiques au genre Pneumocystis représentent 8%, et sont impliqués dans le métabolisme de l'ARN et la signalisation. La signalisation est connue pour être cruciale pour l'interaction des espèces de Pneumocystis avec leur environnement. Les gènes propres à P. jirovecii représentent 11% et codent en majorité pour des protéines dont la fonction est inconnue. Ces gènes en conjonction avec d'autres (par exemple, les glycoprotéines de surface), pourraient être déterminants dans l'interaction de P. jirovecii avec les cellules de l'hôte humain, et être potentiellement responsable de la spécificité d'hôte. P. jirovecii possède un génome de taille réduite à faible pourcentage en GC et récupère très probablement des composés vitaux comme les acides aminés et le cholestérol à partir des poumons humains. De manière consistante, son génome code pour de nombreux transporteurs (22% de ses gènes), qui pourraient jouer un rôle essentiel dans l'acquisition de ces composés. Ces caractéristiques sont généralement observées chez les parasites obligatoires de plusieurs règnes (bactéries, protozoaires, champignons). De plus, les études épidémiologiques n'ont pas réussi à prouver l'existence d'ime forme vivant librement du champignon. Etant donné également l'absence de facteurs de virulence, nos observations suggèrent que P. jirovecii est un parasite obligatoire spécialisé dans la colonisation des poumons humains, ne causant une maladie que chez des individus ayant un système immunitaire compromis. La même conclusion est très probablement applicable à toutes les autres espèces de Pneumocystis dans leur hôte mammifère respectif.

Impedance boundary conditions for pseudo-spectral time-domain methods in room acoustics

The pseudo-spectral time-domain (PSTD) method is an alternative time-marching method to classicalleapfrog finite difference schemes in the simulation of wave-like propagating phenomena. It is basedon the fundamentals of the Fourier transform to compute the spatial derivatives of hyperbolic differential equations. Therefore, it results in an isotropic operator that can be implemented in an efficient way for room acoustics simulations. However, one of the first issues to be solved consists on modeling wallabsorption. Unfortunately, there are no references in the technical literature concerning to that problem. In this paper, assuming real and constant locally reacting impedances, several proposals to overcome this problem are presented, validated and compared to analytical solutions in different scenarios.