Forearm fractures in children: single bone fixation with elastic stable intramedullary nailing in 20 cases.
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Biomedical subjects
Publications and source records attributed to Luis Sanz.
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In this work we extend previous results regarding the use of approximate aggregation techniques to simplify the study of discrete time models for populations that live in an environment that changes randomly with time. Approximate aggregation techniques allow one to transform a complex system involving many coupled variables and in which there are processes with different time scales, by a simpler reduced model with a fewer number of 'global' variables, in such a way that the dynamics of the former can be approximated by that of the latter. We present the reduction of a stochastic multiregional model in which the population, structured by age and spatial location, lives in a random environment and in which migration is fast with respect to demography. However, the technique works in much more general settings as, for example, those of stage-structured populations living in a multipatch environment. By manipulating the original system and appropriately defining the global variables we obtain a simpler system. The paper concentrates on establishing relationships between the original and the reduced systems for a given separation of time scales between the two processes. In particular, we relate the original state variables and the global variables and, in the case the pattern of temporal variation is Markovian, we relate the presence of strong stochastic ergodicity for the original and reduced systems. Moreover, we relate different measures of asymptotic population growth for these systems.
Trichoderma mycoparasitic activity depends on the secretion of complex mixtures of hydrolytic enzymes able to degrade the host cell wall. We have analysed the extracellular proteome secreted by T. harzianum CECT 2413 in the presence of different fungal cell walls. Significant differences were detected in 2DE maps, depending on the use of specific cell walls or chitin. A combination of MALDI-TOF and liquid chromatography mass spectrometry allowed the identification of a novel aspartic protease (P6281: MW 33 and pI 4.3) highly induced by fungal cell walls. A broad EST library from T. harzianum CECT 2413 was used to obtain the full-length sequence. The protein showed 44% identity with the polyporopepsin (EC 3.4.23.29) from the basidiomycete Irpex lacteus. Lower identity percentages were found with other pepsin-like proteases from filamentous fungi (<31%) and animals (<29%). Northern blot and promoter sequence analyses support the implication of the protease P6281 in mycoparasitism.
Methanol extracts from 24 Trichoderma isolates, selected as biocontrol agents and representating different species and genotypes from three of the four taxonomic sections of this genus (T. sect. Trichoderma, T. sect. Pachybasium and T. sect. Longibrachiatum) were screened for antibacterial, anti-yeast and antifungal activities against a panel of seven bacteria, seven yeasts and six filamentous fungi previously used in similar studies. Two different growth media were tested (potato dextrose broth and CYS80), and all isolates included in the antimicrobial tests showed at least one inhibitory activity against one of the target microorganisms in one of the two culture media. No statistically significant differences were detected in the number of active strains between the two culture media, but the highest number of inhibitory strains against bacteria and fungi were found in strains from Trichoderma sect. Pachybasium, whereas strains from T. sect. Longibrachiatum showed the highest anti-yeast values. In all cases, a correlation was found between the strains that were active against yeasts and fungi. However, some degree of variability was detected for strains within the same taxonomic section. In general terms, strains from T. asperellum (mainly in CYS80 medium), and T. longibrachiatum gave the best non-enzymatic antimicrobial profiles.
Trichoderma species have been investigated as biological control agents for over 70 years owing to their ability to antagonize plant pathogenic fungi. Mycoparasitism, one of the main mechanisms involved in the antagonistic activity of Trichoderma strains, depends on the secretion of complex mixtures of hydrolytic enzymes able to degrade the host cell wall. The antifungal activity of an alpha-1,3-glucanase (EC 3.2.1.59, enzymes able to degrade alpha-1,3-glucans and also named mutanases) has been described in T. harzianum and its role in mycoparasitic processes has been suggested. In this study, we report on the purification, characterization and cloning of an exo-alpha-1,3-glucanase, namely AGN13.2, from the antagonistic fungus T. asperellum T32. Expression at the transcription level in confrontation assays against the strawberry pathogen Botrytis cinerea strongly supports the role of AGN13.2 during the antagonistic action of T. asperellum.
A new component of the beta-1,6-glucanase (EC 3.2.1.75) multienzymatic complex secreted by Trichoderma harzianum has been identified and fully characterized. The protein, namely BGN16.3, is the third isozyme displaying endo-beta-1,6-glucanase activity described up to now in T. harzianum CECT 2413. BGN16.3 is an acidic beta-1,6-glucanase that is specifically induced by the presence of fungal cell walls in T. harzianum growth media. The protein was purified to electrophoretical homogenity using its affinity to beta-1,6-glucan as first purification step, followed by chomatofocusing and gel filtration. BGN16.3 has a molecular mass of 46 kDa in SDS/PAGE and a pI of 4.5. The enzyme only showed activity against substrates with beta-1,6-glycosidic linkages, and it has an endohydrolytic mode of action as shown by HPLC analysis of the products of pustulan hydrolysis. The expression profile analysis of BGN16.3 showed a carbon source control of the accumulation of the enzyme, which is fast and strongly induced by fungal cell walls, a condition often regarded as mycoparasitic simulation. The likely involvement beta-1,6-glucanases in this process is discussed.
Trichoderma is known for being the most frequently used biocontrol agent in agriculture. A fundamental part of the Trichoderma antifungal system relies on a series of genes coding for a variety of extracellular lytic enzymes. Characterization of the polymorphism between five putative isoenzymatic activities [beta-1,3-glucanase (EC 3.2.1.39, EC 3.2.1.58), beta-1,6-glucanase (EC 3.2.1.75), cellulase (EC 3.2.1.4; EC 3.2.1.21, EC 3.2.1.91), chitinase (EC 3.2.1.30, EC 3.2.1.52), protease (EC 3.4.11; EC 3.4.13-19; EC 3.4.21-24, EC 3.4.99)] was carried out using 18 strains from three sections of Trichoderma. Of these, seven strains were from T. sect. Pachybasium, nine from T. sect. Trichoderma and two from T. sect. Longibrachiatum. Thirty-seven different alleles in total were identified: 13 for beta-1,3-glucanase, four for beta-1,6-glucanase, three for cellulase, eight for chitinase and nine for protease activity. A dendrogram (constructed by the unweighted pair group method with arithmetic averages) based on isoenzymatic data separated the 18 strains into three main enzymatic groups: T. harzianum, T. atroviride/T. viride/T. koningii and T. asperellum/T. hamatum/T. longibrachiatum. Isoenzymatic groupings obtained from biocontrol strains are discussed in relation to their phylogenetic location, based on their sequence of internal transcribed spacer 1 in ribosomal DNA and their antifungal activities.
Genetic variability within 69 biocontrol isolates of Trichoderma, obtained from different geographical locations and culture collections and selected as biocontrol agents, was studied. Sequence data, obtained from the ITS1 region of rDNA and a fragment of the translation elongation factor 1 (tef1) gene, were used in a phylogenetic analysis. Phylograms showing similar topologies were generated using alignments containing the ITS1 region or a portion of the tef1 gene. 21 distinct ITS1 sequence types and 17 distinct tef1 sequence types were identified among the 69 isolates. More than 50% of the potential biocontrol strains were grouped within Trichoderma sect. Pachybasium; of these, 81% were grouped within the cluster that included the ex-type strains of T. harzianum and T. inhamatum, and 16% were grouped with T. virens. Within T. sect. Trichoderma, which included 36% of the 69 strains, 56% were grouped with T. asperellum, and 24% with T. viride, T. atroviride or T. koningii. Only 10% of the strains studied were located in T. sect. Longibrachiatum.
As the result of the complexity inherent in nature, mathematical models employed in ecology are often governed by a large number of variables. For instance, in the study of population dynamics we often deal with models for structured populations in which individuals are classified regarding their age, size, activity or location, and this structuring of the population leads to high dimensional systems. In many instances, the dynamics of the system is controlled by processes whose time scales are very different from each other. Aggregation techniques take advantage of this situation to build a low dimensional reduced system from which behavior we can approximate the dynamics of the complex original system. In this work we extend aggregation techniques to the case of time dependent discrete population models with two time scales where both the fast and the slow processes are allowed to change at their own characteristic time scale, generalizing the results of previous studies. We propose a non-autonomous model with two time scales, construct an aggregated model and give relationships between the variables governing the original and the reduced systems. We also explore how the properties of strong and weak ergodicity, regarding the capacity of the system to forget initial conditions, of the original system can be studied in terms of the reduced system.
As a result of the complexity inherent in some natural systems, mathematical models employed in ecology are often governed by a large number of variables. For instance, in the study of population dynamics we often find multiregional models for structured populations in which individuals are classified regarding their age and their spatial location. Dealing with such structured populations leads to high dimensional models. Moreover, in many instances the dynamics of the system is controlled by processes whose time scales are very different from each other. For example, in multiregional models migration is often a fast process in comparison to the growth of the population. Approximate reduction techniques take advantage of the presence of different time scales in a system to introduce approximations that allow one to transform the original system into a simpler low dimensional system. In this way, the dynamics of the original system can be approximated in terms of that of the reduced system. This work deals with the study of that approximation. In particular, we work with a non-autonomous discrete time model previously presented in the literature and obtain different bounds for the error we incur when we describe the dynamics of the original system in terms of the reduced one. The results are illustrated by some numerical simulations corresponding to the reduction of a Leslie type model for a population structured in two age classes and living in a two patch system.