NMR structure and backbone dynamics of a concatemer of epidermal growth factor homology modules of the human low-density lipoprotein receptor

The ligand-binding region of the low-density lipoprotein (LDL) receptor is formed by seven N-terminal, imperfect, cysteine-rich (LB) modules. This segment is followed by an epidermal growth factor precursor homology domain with two N-terminal, tandem, EGF-like modules that are thought to participate in LDL binding and recycling of the endocytosed receptor to the cell surface. EGF-A and the concatemer, EGF-AB, of these modules were expressed in Escherichia coli. Correct protein folding of EGF-A and the concatemer EGF-AB was achieved in the presence or absence of calcium ions, in contrast to the LB modules, which require them for correct folding. Homonuclear and heteronuclear H-1-N-15 NMR spectroscopy at 17.6 T was used to determine the three-dimensional structure of the concatemer. Both modules are formed by two pairs of short, anti-parallel beta -strands. In the concatemer, these modules have a fixed relative orientation, stabilized by calcium ion-binding and hydrophobic interactions at the interface. N-15 longitudinal and transverse relaxation rates, and {H-1}-N-15 heteronuclear NOEs were used to derive a model-free description of the backbone dynamics of the molecule. The concatemer appears relatively rigid, particularly near the calcium ion-binding site at the module interface, with an average generalized order parameter of 0.85 +/- 0.11. Some mutations causing familial hypercholesterolemia may now be rationalized. Mutations of D41, D43 and E44 in the EGF-B calcium ion-binding region may affect the stability of the linker and thus the orientation of the tandem modules. The diminutive core also provides little structural stabilization, necessitating the presence of disulfide bonds. The structure and dynamics of EGF-AB contrast with the N-terminal LB modules, which require calcium ions both for folding to form the correct disulfide connectivities and for maintenance of the folded structure, and are connected by highly mobile linking peptides. (C) 2001 Academic Press.

A test of the ash-free dry weight technique on the developmental stages of Patiriella spp. (Echinodermata : Asteroidea)

Determination of the ash-free dry weight (AFDW) of marine specimens requires samples to be rinsed, soaked, and centrifuged. Problems associated with this technique were examined with the developmental stages of seastar species (Patiriella) with different modes of development. The influence of three rinsing solutions (ammonium formate [AF], filtered seawater [FSW], and reverse osmosis water [RO]) was assessed. The hypothesis that the AFDW technique is a measure of organic material was addressed by drying inorganic salts. Developmental stages of Patiriella calcar rinsed in FSW were twice as heavy as those rinsed in RO or AE indicating that samples should be rinsed in RO or AF before weighing. Soaking treatments had a significant effect on the AFDW of samples of P. calcar (planktonic developer), indicating that the rinsing period should be brief. Zygotes of Patiriella re gularis (planktonic developer) were significantly heavier than ova or gastrulae, regardless of treatment. In contrast, there were no significant differences in the AFDW of any stages or treatments of Patiriella exigua (benthic developer). This may be due to the presence of a modified fertilization envelope, which protects these benthic embryos. Inorganic salts with water of crystallization and FSW lost 20-75% and 14% of their dry weight, respectively, after ashing. We propose that salt ions may retain water, which does not evaporate during drying but is lost during ashing, resulting in the overestimation of sample AFDW. If a similar process occurs in the developmental stages of marine invertebrates, changes in the intracellular ionic composition through development may result in inaccurate estimates of biomass.

Placental growth hormone is not suppressed by oral glucose loading in normal human pregnancy

Placental growth hormone (PGH) progressively replaces pituitary growth hormone in the maternal circulation from mid-gestation onwards in human pregnancy. Our previous investigations have shown that placental growth hormone concentrations correlate well with foetal growth. Despite the apparent correlation between PGH and birthweight, the physiology of its secretion during pregnancy has not been well defined. We investigated the response of maternal serum PCH to oral glucose loading in pregnant women (n = 24) who demonstrated normal glucose tolerance at a mean gestation of 29 weeks. Mean (SEM) fasting PGH concentrations were high (36.9 [6.4] ng/ml). No suppression of PGH was noted at one, two or three hours after a 75 g oral glucose load. Similarly, no changes were noted in growth hormone binding protein or in calculated free PGH over the course of the glucose tolerance test. As expected, insulin concentrations rose sixfold and insulin like growth factor binding protein 1 concentrations fell by 20% with glucose loading. Cot-relation analysis showed maternal weight, BMI, fasting serum glucose serum insulin to be significantly correlated with the babies' birthweight. Our results support the proposition that PGH concentrations in maternal serum are not Suppressed by oral glucose loading in non-diabetic mothers.

A review of drainage and spontaneous rupture in free standing thin films with tangentially immobile interfaces

A review of spontaneous rupture in thin films with tangentially immobile interfaces is presented that emphasizes the theoretical developments of film drainage and corrugation growth through the linearization of lubrication theory in a cylindrical geometry. Spontaneous rupture occurs when corrugations from adjacent interfaces become unstable and grow to a critical thickness. A corrugated interface is composed of a number of waveforms and each waveform becomes unstable at a unique transition thickness. The onset of instability occurs at the maximum transition thickness, and it is shown that only upper and lower bounds of this thickness can be predicted from linear stability analysis. The upper bound is equivalent to the Freakel criterion and is obtained from the zeroth order approximation of the H-3 term in the evolution equation. This criterion is determined solely by the film radius, interfacial tension and Hamaker constant. The lower bound is obtained from the first order approximation of the H-3 term in the evolution equation and is dependent on the film thinning velocity A semi-empirical equation, referred to as the MTR equation, is obtained by combining the drainage theory of Manev et al. [J. Dispersion Sci. Technol., 18 (1997) 769] and the experimental measurements of Radoev et al. [J. Colloid Interface Sci. 95 (1983) 254] and is shown to provide accurate predictions of film thinning velocity near the critical thickness of rupture. The MTR equation permits the prediction of the lower bound of the maximum transition thickness based entirely on film radius, Plateau border radius, interfacial tension, temperature and Hamaker constant. The MTR equation extrapolates to Reynolds equation under conditions when the Plateau border pressure is small, which provides a lower bound for the maximum transition thickness that is equivalent to the criterion of Gumerman and Homsy [Chem. Eng. Commun. 2 (1975) 27]. The relative accuracy of either bound is thought to be dependent on the amplitude of the hydrodynamic corrugations, and a semiempirical correlation is also obtained that permits the amplitude to be calculated as a function of the upper and lower bound of the maximum transition thickness. The relationship between the evolving theoretical developments is demonstrated by three film thickness master curves, which reduce to simple analytical expressions under limiting conditions when the drainage pressure drop is controlled by either the Plateau border capillary pressure or the van der Waals disjoining pressure. The master curves simplify solution of the various theoretical predictions enormously over the entire range of the linear approximation. Finally, it is shown that when the Frenkel criterion is used to assess film stability, recent studies reach conclusions that are contrary to the relevance of spontaneous rupture as a cell-opening mechanism in foams. (C) 2003 Elsevier Science B.V. All rights reserved.

Growth and nutrient accumulation in mycorrhized papaya seedlings cultivated in a phosphorus-fertilized substrate

ABSTRACT The indiscriminate use of mineral fertilizers in papaya orchards has increased production costs, and the use of arbuscular mycorrhizal fungi is a promising alternative to reduce such expenses. Therefore, the present research aimed at studying the efficiency of arbuscular mycorrhizal fungi (AMF) on dry matter and nutrient accumulation in Sunrise Solo papaya seedlings, by applying doses of P2O5 (triple superphosphate) that are harmful to the symbiosis. The experiment was carried out in a protected environment and was set up in a randomized block design with four replications, and consisted of four P2O5 doses (0, 672, 1386 and 2100 mg dm-3), three mycorrhizal fungi species (Gigaspora margarita, Entrophospora colombiana and Scutellospora heterogama) and the control treatment (mycorrhiza-free). Shoot and root dry matter as well as nitrogen, phosphorus and potassium contents in leaf and root tissues were assessed. Mycorrhizal inoculation promoted a 30% increase in shoot dry matter in relation to the control treatment. Mycorrhizal fungi promoted increases in leaf and root nitrogen content up to 672 mg dm-3 P2O5. Inoculation of E. colombiana favored the highest gains in root and shoot dry matter. P2O5 fertilization increased foliar and root phosphorus content.

Lack of association between iron status at birth and growth of preterm infants

OBJECTIVE: To assess the association between iron status at birth and growth of preterm infants. METHODS: Ninety-five premature babies (26 to 36 weeks of gestational age) born from July 2000 to May 2001 in a public hospital in Rio de Janeiro, Southeastern Brazil, were followed up for six months, corrected by gestational age. Iron measurements at birth were available for 82 mothers and 78 children: hemoglobin, hematocrit, mean corpuscular volume and plasma iron. All children received free doses of iron supplement (2 mg/kg/day) during the follow-up period and up to two years of age. Multivariate linear regression analyses with repeated measurements were performed to assess factors associated to linear growth. RESULTS: Growth was more pronounced up to 40 weeks of gestational age, increasing about 1.0 cm/week and then slowing down to 0.75 cm/week. The multivariate analysis showed growth was positively associated with birth weight (0.4 cm/100 g; p<0.001) and negatively associated with gestational age at birth (-0.5 cm/week; p<0.001). There was no association between cord iron and mother iron measurements and growth (p>0.60 for all measures). Only two children had anemia at birth, whereas 43.9% of mothers were anemic (hemoglobin <11 g/dl). Also, there was no correlation between anemia indicators of mothers and children at birth (r<0.15; p>0.20). CONCLUSIONS: Maternal anemia was not associated with anemia in preterm infants and iron status of mothers and children at birth was not associated with short-term growth of preterm infants.

Celiac disease diagnosis and gluten-free food analytical control

Celiac disease (CD) is an autoimmune enteropathy, characterized by an inappropriate T-cell-mediated immune response to the ingestion of certain dietary cereal proteins in genetically susceptible individuals. This disorder presents environmental, genetic, and immunological components. CD presents a prevalence of up to 1% in populations of European ancestry, yet a high percentage of cases remain underdiagnosed. The diagnosis and treatment should be made early since untreated disease causes growth retardation and atypical symptoms, like infertility or neurological disorders. The diagnostic criteria for CD, which requires endoscopy with small bowel biopsy, have been changing over the last few decades, especially due to the advent of serological tests with higher sensitivity and specificity. The use of serological markers can be very useful to rule out clinical suspicious cases and also to help monitor the patients, after adherence to a gluten-free diet. Since the current treatment consists of a life-long glutenfree diet, which leads to significant clinical and histological improvement, the standardization of an assay to assess in an unequivocal way gluten in gluten-free foodstuff is of major importance.

Facile synthesis of freestanding Si nanowire arrays by one-step template-free electro-deoxidation of SiO2 in molten salt

This communication presents a novel kind of silicon nanomaterial: freestanding Si nanowire arrays (Si NWAs), which are synthesized facilely by one-step template-free electro-deoxidation of SiO2 in molten CaCl2. The self-assembling growth process of this material is also investigated preliminarily.

Scale-free networks and scalable interdomain routing

Trabalho apresentado no âmbito do Mestrado em Engenharia Informática, como requisito parcial para obtenção do grau de Mestre em Engenharia Informática

A cirurgia reconstrutiva em patologia oncológica do nariz : paralisia do nervo facial anatomia cirurgia do nariz

RESUMO: Os carcinomas localizados no nariz são muito frequentes em todas as séries conhecidas. São de diagnóstico clínico fácil e a sua confirmação por biópsia é muito segura. As terapêuticas mais indicadas são a cirurgia e a radioterapia, genericamente eficazes. Verifica-se, no entanto, que os pacientes continuam a solicitar tratamento em estádios muito avançados, mesmo conhecendo o diagnóstico e tendo acesso aos serviços sem custos. Esta situação poderá explicar-se face ao curso relativamente lento de muitos destes tumores e à idade geralmente avançada dos doentes que, de acordo com alguns inquéritos, receiam mais a terapeûtica do que a doença. Para obtenção de informação útil para condução deste problema, foram ainda analisados outros parâmetros. A maioria dos pacientes continua a solicitar tratamento quando as lesões envolvem duas subunidades nasais. Esta circunstância permite planear o tratamento cirúrgico com relativa facilidade, isto é, com exérese e reconstrução cujo resultado estético final é bastante aceitável. Os tumores de grandes dimensões, envolvendo várias subunidades, sendo frequentes, raramente implicam rinectomia total. Pelo contrário, são mais frequentes os tumores que envolvem metade do nariz e as estruturas vizinhas tais como o maxilar, a órbita e o lábio superior, atingindo mesmo a base do crânio. O controlo da doença nestes estádios é muito difícil. Não raramente, quando se crê que a doença está controlada, a cirurgia reconstrutiva bem como outras formas de reabilitação conjugadas, deixam ainda muita insatisfação. A nossa actividade tem-se desenvolvido seguindo os critérios adoptados nos melhores centros, isto é, as técnicas clássicas, complementadas com refinamentos recentes. Porém reflectindo sobre os resultados obtidos no tratamento de tumores do nariz, surge-nos um conjunto de questões para as quais ainda não encontrámos respostas cabais. Actuando de acordo com os princípios que definem o estado da arte, não obtivemos ainda resultados que satisfaçam tanto os doentes quanto os cirurgiões. Incessantemente procuramos novos dados técnicos e científicos que nos permitam sair deste ciclo vicioso em que o doente retarda a procura de assistência, receoso de que a terapêutica o deixe desfigurado. Tendo sempre em vista a obtenção dos melhores resultados com o mínimo de tempos cirúrgicos, valorizamos alguns detalhes praticados nos retalhos com padrão vascular bem definido. Dado que as sequelas na zona dadora de tecidos são uma incontornável preocupação, procuramos refinar a sua aplicação no sentido de as atenuarmos. A fronte, excelente zona dadora para reconstrucção nasal major, era sede de sequelas actualmente inaceitáveis. Estudado o comportamento dos tecidos na fronte, depois de levantado o retalho e efectuado o seu encerramento com uso da técnica de expansão intra-operatória, determinámos a presença do Factor de Crescimento Vascular Endotelial no próprio retalho e na zona dadora, tendo em vista que a sua presença poderá explicar o comportamento dos tecidos que foram submetidos a esta técnica. Procurou-se estudar a qualidade da reconstrução em 45 pacientes submetidos a cirurgia de exérese e reconstrução nasal major, assim como a qualidade de vida, relacionada com a doença e a terapêutica. Embora se possa admitir a existência de dados sugestivos de estratégias mais adequadas, não foi possível relacionar a qualidade da reconstrução com qualidade de vida dos pacientes. Poderá eventualmente concluir-se que a observação permanente da reconstrução, com qualidade estética e funcional, será o melhor método de alterar a ideia clássica, ainda muito divulgada, mas já ultrapassada, de que a cirurgia reconstrutiva do nariz não é mais que transformar um defeito horroroso num defeito ridículo.---------------ABSTRACT: Malignant tumours found in the nose are very frequent in all known series. Clinical diagnosis is simple and confirmation of biopsy diagnosis is accessible and safe. The most advisable therapies are surgery and radiotherapy. Despite everything patients continue to wait until the tumour is in an advanced stage before asking for therapy, although they know the diagnosis and have free access to specialised services. This situation could probably be explained by the slow development rate of the tumours which is associated with the age of the patient. Upon inquiry, it was found that a significant number of patients are more afraid of therapy than of the disease itself. Other parameters have been analysed in order to obtain useful information about the management of this problem. The majority of patients seek adequate treatment when the lesions involve two nasal subunits. This allows the programming of surgical therapy with relative ease as they may be removed and reconstructed with interesting final aesthetical results. Large tumours involving several subunits are frequent, but they rarely call for total rhinectomy. On the contrary, tumours more frequently involve half of the nose and their neighbouring structures: for example, maxillary, orbital and upper lip, even reaching as far as the base of the skull. The control of the disease is very difficult in these stages.In cases in which it is believed that the disease is under control, reconstructive surgery in conjunction with other forms of rehabilitation still result in a lot of dissatisfaction. In our activity we try to follow the criteria adopted by the best centres following classic techniques, complemented with recent refinements. Reflecting on the treatment of tumours of the nose has led us to a series of questions to which we haven’t yet found the answers. In accordance with the defined principles of ‘the state of the art’ it still doesn’t satisfy either the patients or the surgeons. We are looking for new technical and scientific data which allows us to leave this vicious cycle, in that the deferred patient avoids looking for assistance, based on the fear that therapy could leave them disfigured. We attach importance to some practiced details on the well-defined vascular pattern of the flaps, with the principle aim of obtaining a good result, from the minimum number of operations. It is known that sequels in donor sites are a concern, so applied refinements are used in order to reduce the defect. The forehead has been considered an excellent donor site for major nasal reconstruction but the area of sequel is nowadays unacceptable. We tried to study the behaviour of the tissues of the forehead after taking the flap and closing the wound, using the intraoperative expansion technique. We determined the presence of Vascular Endothelial Growth Factor in the flaps and in the donor site, in which its presence could explain the behaviour of the tissues of the forehead that are submitted to this technique. The quality of the reconstruction was studied in 45 patients who were submitted to surgical exeresisand major nasal reconstruction, as was the relationship between the disease and the therapy regarding quality of life. It was not possible to directely relate the quality of the reconstruction to the quality of patients life, although some suggestive data of more adequate manegement may be interesting. One might eventually conclude that, permanent exposure of the reconstruction with aesthetic and funcional quality would be the best method in order to modify the classic idea which is still known although overridden today, that nasal reconstruction could transform a horrible defect into a ridiculous one.-------RÉSUMÉ: Les carcinomes situés sur le nez sont très fréquents dans toutes les séries connues. Ils sont de diagnostic facile et la confirmation de ce dernier par une biopsie, est accessible et très fiable. La chirurgie et la radiothérapie sont les thérapeutiques les mieux indiquées. Toutefois les patients continuent de solliciter un traitement, seulement dans des états très avancés bien qu’ils aient eu connaissance du diagnostic et ayant accès aux services. Cette situation pourra probablement s’expliquer par l’évolution relativement indolente de beaucoup de tumeurs, associée à l’âge des malades; bien que selon quelques enquêtes réalisées un nombre élevé de malades craint davantage la thérapeutique que la maladie. D’autres paramètres sont analysés en vue d’obtenir des informations utiles pour l’accompagnement de ce problème. La majorité de nos patients sollicite le traitement adéquat quand les lésions entourent deux sous-unités nasales, ce qui permet de planifier le traitement chirurgique avec une certaine facilité, c’est à dire l’exérèse et la reconstruction ayant un résultat final esthétique généralement très acceptable. Les tumeurs de grandes dimensions entourant différentes sous-unités sont fréquentes mais elles impliquent rarement une amputation nasal total. Au contraire, les tumeurs les plus fréquentes sont celles qui entourent la moitié du nez et les structures voisines comme le maxillaire, l’orbite et la lèvre supérieure, parfois, elles peuvent même atteindre la base du crâne. Le contrôle de la maladie dans ces états est très difficile et quand nous pensons que la maladie est contrôlée, la chirurgie reconstructrice associée à d’autres formes de réhabilitation provoquent encore une grande insatisfaction. Nous exerçons notre activité en essayant de suivre les critères adoptés dans les meilleurs centres. Nous appliquons les techniques classiques complétées de retouches pour obtenir un meilleur resultat. Le fait de traiter les tumeurs nasales nous fait réfléchir et poser un ensemble de questions auxquelles nous n’avons pas pu trouver de réponses. En actuant en accord avec les principes qui définissent l’état de l’art, nous n’avons pas obtenu de résultats qui satisfassent les malades et les chirurgiens. Nous recherchons de nouvelles données techniques et scientifiques qui nous permettent de sortir de ce cercle vicieux dans lequel le patient retarde la recherche d’aide craignant que la thérapeutique le défigure. Nous valorisons certains détails pratiqués sur les lambeaux de patron vasculaire bien défini et ayant comme principaux objectifs l’obtention d’un bon résultat en moins de temps de chirurgie. Nous savons que les séquelles de la zone donneuse de tissus sont préoccupantes, ainsi, que les retouches qui ont été appliqués dans l’objectif de les atténuer. Le front, excellente zone donneuse pour la reconstruction nasale majeure, était une source de séquelle actuellement inacceptable. Nous avons étudié le comportement des tissus du front après avoir relevé le lambeau et effectué la fermeture avec la technique de l’expansion intraoperative. Nous avons déterminé la présence du Facteur de Croissance Vasculaire Endothéliale dans le propre lambeau et dans la zone donneuse, celle-ci pourra expliquer le comportement des tissus du front qui ont été soumis à cette technique. On a essayé d´etudier la qualité de la reconstruction sur 45 patients soumis à la chirurgie d´exérèse et la reconstruction nasal majeure, ainsi comme la qualité de vie en relation avec la maladie et la thérapie. Quoique l´on puisse conclure par l´existence des données subjectives des stratégies plus justes, il est impossible de faire un rapport sur la qualité de la reconstruction avec la qualité de vie des patients. Eventuellement l´on purrait conclure que l´observation permanente de la reconstruction avec qualité esthétique et fonctionnelle, se serait la meilleure méthod de changer l´idée classique, mais depassée, de que la rhinopoièse n´est pas que transformer un affreux défaut par un défaut ridicule.

Is Information Power? Using Mobile Phones and Free Newspapers during an Election in Mozambique*

African elections often reveal low levels of political accountability. We assess different forms of voter education during an election in Mozambique. Three interventions providing information to voters and calling for their electoral participation were randomized; an SMS-based information campaign, an SMS hotline for electoral misconduct, and the distribution of a free newspaper. To measure impact, we look at official electoral results, reports by electoral observers, behavioral and survey data. We find positive effects of all treatments on voter turnout. We observe that the distribution of the newspaper led to more accountability-based participation and to a decrease in electoral problems.

The politics of growth: Can lobbying raise growth and welfare?

This paper aims at analyzing the effects of lobbying over economic growth and primarily welfare. We model explicitly the interaction between policy-makers and firms in a setup where the latter undertakes political contributions to the former in exchange for more restrictive market regulations which induce exit and enhance the profitability of the market. In a sectorial equilibrium, despite stimulating growth, lobbying restricts the market structure and reduces welfare when compared to the free-entry outcome. However, once general equilibrium considerations are taken into account, we find that lobbying may improve welfare over a welfare maximizing free-entry equilibrium, by means of an expansion in aggregate demand. This introduces a new paradigm in the literature about the effects of lobbying over economic performance.

A continuous solvent- and oil-free method to prepare injectable PEGylated fibrinogen cell-laden microparticles

Injectable biomaterials with in situ cross-linking reactions have been suggested to minimize the invasiveness associated with most implantation procedures. However, problems related with the rapid liquid-to-gel transition reaction can arise because it is difficult to predict the reliability of the reaction and its end products, as well as to mitigate cytotoxicity to the surrounding tissues. An alternative minimally invasive approach to deliver solid implants in vivo is based on injectable microparticles, which can be processed in vitro with high fidelity and reliability, while showing low cytotoxicity. Their delivery to the defect can be performed by injection through a small diameter syringe needle. We present a new methodology for the continuous, solvent- and oil-free production of photopolymerizable microparticles containing encapsulated human dermal fibroblasts. A precursor solution of cells in photo-reactive PEG-fibrinogen (PF) polymer was transported through a transparent injector exposed to light-irradiation before being atomized in a jet-in-air nozzle. Shear rheometry data provided the cross-linking kinetics of each PF/cell solution, which was then used to determine the amount of irradiation required to partially polymerize the mixture prior to atomization. The partially polymerized drops fell into a gelation bath for further polymerization. The system was capable of producing cell-laden microparticles with high cellular viability, with an average diameter of between 88.1 µm to 347.1 µm and a dispersity of between 1.1 and 2.4, depending on the parameters chosen.

Optimum dietary protein requirement for Amazonian Tambaqui, Colossoma macropomum Cuvier, 1818, fed fish meal free diets

Fish meal free diets were formulated to contain graded protein levels as 25% (diet 1), 30% (diet 2), 35% (diet 3) and 40% (diet 4). The diets were fed to tambaqui juveniles (Colossoma macropomum) (46.4 ± 6.3g) in randomly designed recirculating systems for 60 days, to determine the optimum protein requirement for the fish. The final weight of the fish, weight gain (28.1, 28.5, 32.2, 28.0g) and specific growth rate increased (P>0.05) consistently with increasing dietary protein up to treatment with 35% protein diet and then showed a declining trend. Feed intake followed the same trend resulting in best feed efficiency (62.5%) in fish fed diet with 35% protein. Similarly, the protein intake increased significantly with increasing dietary protein levels and reduced after the fish fed with 35% protein; while protein efficiency ratio (2.28, 1.99, 1.87, 1.74) decreased with increasing dietary protein levels. Carcass ash and protein had linear relationship with dietary protein levels while the lipid showed a decreasing trend. Ammonia content (0.68, 0.73, 0.81, 1.21 mg L-1) of the experimental waters also increased (P<0.05) with increasing protein levels while pH, dissolved oxygen and temperature remained fairly constant without any clear pattern of inclination. Broken-line estimation of the weight gain indicated 30% protein as the optimum requirement for the fish.

Semigroups of matrices of intermediate growth

Finitely generated linear semigroups over a field K that have intermediate growth are considered. New classes of such semigroups are found and a conjecture on the equivalence of the subexponential growth of a finitely generated linear semigroup S and the nonexistence of free noncommutative subsemigroups in S, or equivalently the existence of a nontrivial identity satisfied in S, is stated. This ‘growth alternative’ conjecture is proved for linear semigroups of degree 2, 3 or 4. Certain results supporting the general conjecture are obtained. As the main tool, a new combinatorial property of groups is introduced and studied.