Un nuevo esquema iterativo robusto y eficiente para un problema parabólico no lineal degenerado.

The flow of water through the soil is modeled mathematically by the Richards equation. This doubly degenerate nonlinear equation is difficult to solve, even more nonlinearity and degeneration make the design of numerical schemes for this problem a challenging task. According to the literature, the implicit methods are the ones that give the best results since the schemes obtained allow to simulate the degenerate problem, however these produce nonlinear problems that must be solved by means of linearization methods. In this investigation a new numerical scheme of linearization of the Richards equation is developed. A totally implicit Euler scheme is used to discretize time and finite elements to discretize space, however, these schemes should work for any spatial discretization chosen. A more robust and faster scheme was achieved (in terms of number of iterations and total machine time used) than those already existing.El flujo de agua a través del suelo esta modelado matemáticamente por la ecuación de Richards. Esta ecuación doblemente no lineal degenerada, es difícil de resolver, más aun  la no linealidad y la degeneración hacen que el diseño de esquemas numéricos para este problema sea una tarea desafiante.  Según la literatura los métodos implícitos son los que dan mejores resultados ya que los esquemas obtenidos permiten simular el problema degenerado sin embargo estos producen problemas no lineales que deben ser resueltos mediante métodos de linealización.En esta investigación se desarrolla un nuevo esquema numérico de linealización de la ecuación de Richards. Se usa un esquema de Euler totalmente implícito para discretizar el tiempo y elementos finitos para discretizar el espacio, sin embargo, estos esquemas deberían funcionar para cualesquier discretización espacial escogida. Se consiguió un esquema mas robusto y más rápido (en lo que a número de iteraciones y tiempo total de máquina empleado se refiere) que los ya existentes

Metodología para focalizar nuevos centros de atención para Personas con Discapacidad. Una aplicación del Análisis Multivariante

The main contribution of this article, based on the thesis written by the Gandy Rene López Fuertes MSc., this methodological proposal aims to focus new centers for the care of people with disabilities, in this sense the grouping of Ecuadorian parishes is carried out in order to generate possible scenarios for the creation of care centers for the people with disabilities that demand priority. The main source for the development of this model was the VII Population Census and VI Housing Census of 2010, from this source some sociodemographic variables were obtained, such as the incidence of people with disabilities, people with disabilities living in poverty due to unmet basic needs, among others. After applying multivariate statistical methods such as Factor Analysis, some variables were simplified, and the first two components were taken, for which it was possible to explain the variance of 88.6 % of the original data. In addition, thanks to the results obtained from the cluster analysis, it was possible to determine the three necessary groups of parishes that showed a certain level of priority. Finally, the group with the highest priority was Stratum 3, which corresponds to 378 (36.9 %) parishes whose conglomerate allowed the most vulnerable parishes in Ecuador to be classified, where the creation of new care centres is needed, with the intention that the Ministry of Economic and Social Inclusion can assist persons with disabilities.El aporte principal del presente artículo, se basa en la tesis escrita por el Ing. Gandy Rene López Fuertes MSc., esta propuesta metodológica tiene como objetivo focalizar nuevos centros para la atención de personas con discapacidad, en este sentido se lleva a cabo la agrupación de las parroquias ecuatorianas con el fin de generar posibles escenarios para la creación de centros de atención para la población con discapacidad que demanden prioridad. La fuente principal para la elaboración de este modelo fue el VII Censo de población y VI censo de vivienda del año 2010, de dicha fuente se obtuvieron algunas variables sociodemográficas, como la incidencia de personas con discapacidad, personas con discapacidad que viven en pobreza por necesidades básicas insatisfechas, entre otras. Luego de aplicar métodos estadísticos multivariantes como el Análisis Factorial, se simplificaron algunas variables, y se tomó los dos primeros componentes, para lo cual fue posible explicar la varianza del 88,6 % de los datos originales. Además, gracias a los resultados obtenidos del análisis de conglomerados, fue posible determinar los tres grupos de parroquias necesarios que mostraron cierto nivel de prioritaria. Finalmente, el grupo con más alta prioridad fue el Estrato 3, que corresponde a 378 (36,9 %) parroquias cuyo conglomerado permitió clasificar a las parroquias más vulnerables en el Ecuador, en las que se necesita la creación de nuevos centros de atención, con la intención de que el Ministerio de Inclusión Económica y Social pueda asistir a las personas con discapacidad

Identification and functional characterisation of CRK12:CYC9, a novel cyclin-dependent kinase (CDK)-cyclin complex in Trypanosoma brucei

The protozoan parasite, Trypanosoma brucei, is spread by the tsetse fly and causes trypanosomiasis in humans and animals. Both the life cycle and cell cycle of the parasite are complex. Trypanosomes have eleven cdc2-related kinases (CRKs) and ten cyclins, an unusually large number for a single celled organism. To date, relatively little is known about the function of many of the CRKs and cyclins, and only CRK3 has previously been shown to be cyclin-dependent in vivo. Here we report the identification of a previously uncharacterised CRK:cyclin complex between CRK12 and the putative transcriptional cyclin, CYC9. CRK12:CYC9 interact to form an active protein kinase complex in procyclic and bloodstream T. brucei. Both CRK12 and CYC9 are essential for the proliferation of bloodstream trypanosomes in vitro, and we show that CRK12 is also essential for survival of T. brucei in a mouse model, providing genetic validation of CRK12:CYC9 as a novel drug target for trypanosomiasis. Further, functional characterisation of CRK12 and CYC9 using RNA interference reveals roles for these proteins in endocytosis and cytokinesis, respectively

Trypanosoma brucei Glycogen Synthase Kinase-3, A Target for Anti-Trypanosomal Drug Development: A Public-Private Partnership to Identify Novel Leads

Over 60 million people in sub-Saharan Africa are at risk of infection with the parasite Trypanosoma brucei which causes Human African Trypanosomiasis (HAT), also known as sleeping sickness. The disease results in systemic and neurological disability to its victims. At present, only four drugs are available for treatment of HAT. However, these drugs are expensive, limited in efficacy and are severely toxic, hence the need to develop new therapies. Previously, the short TbruGSK-3 short has been validated as a potential target for developing new drugs against HAT. Because this enzyme has also been pursued as a drug target for other diseases, several inhibitors are available for screening against the parasite enzyme. Here we present the results of screening over 16,000 inhibitors of human GSK-3β (HsGSK-3) from the Pfizer compound collection against TbruGSK-3 short. The resulting active compounds were tested for selectivity versus HsGSK-3β and a panel of human kinases, as well as their ability to inhibit proliferation of the parasite in vitro. We have identified attractive compounds that now form potential starting points for drug discovery against HAT. This is an example of how a tripartite partnership involving pharmaceutical industries, academic institutions and non-government organisations such as WHO TDR, can stimulate research for neglected diseases

The Aurora Kinase in Trypanosoma brucei Plays Distinctive Roles in Metaphase-Anaphase Transition and Cytokinetic Initiation

Aurora B kinase is an essential regulator of chromosome segregation with the action well characterized in eukaryotes. It is also implicated in cytokinesis, but the detailed mechanism remains less clear, partly due to the difficulty in separating the latter from the former function in a growing cell. A chemical genetic approach with an inhibitor of the enzyme added to a synchronized cell population at different stages of the cell cycle would probably solve this problem. In the deeply branched parasitic protozoan Trypanosoma brucei, an Aurora B homolog, TbAUK1, was found to control both chromosome segregation and cytokinetic initiation by evidence from RNAi and dominant negative mutation. To clearly separate these two functions, VX-680, an inhibitor of TbAUK1, was added to a synchronized T. brucei procyclic cell population at different cell cycle stages. The unique trans-localization pattern of the chromosomal passenger complex (CPC), consisting of TbAUK1 and two novel proteins TbCPC1 and TbCPC2, was monitored during mitosis and cytokinesis by following the migration of the proteins tagged with enhanced yellow fluorescence protein in live cells with time-lapse video microscopy. Inhibition of TbAUK1 function in S-phase, prophase or metaphase invariably arrests the cells in the metaphase, suggesting an action of TbAUK1 in promoting metaphase-anaphase transition. TbAUK1 inhibition in anaphase does not affect mitotic exit, but prevents trans-localization of the CPC from the spindle midzone to the anterior tip of the new flagellum attachment zone for cytokinetic initiation. The CPC in the midzone is dispersed back to the two segregated nuclei, while cytokinesis is inhibited. In and beyond telophase, TbAUK1 inhibition has no effect on the progression of cytokinesis or the subsequent G1, S and G2 phases until a new metaphase is attained. There are thus two clearly distinct points of TbAUK1 action in T. brucei: the metaphase-anaphase transition and cytokinetic initiation. This is the first time to our knowledge that the dual functions of an Aurora B homolog is dissected and separated into two clearly distinct time frames in a cell cycle

Machine Learning Methods for Prediction of CDK-Inhibitors

Progression through the cell cycle involves the coordinated activities of a suite of cyclin/cyclin-dependent kinase (CDK) complexes. The activities of the complexes are regulated by CDK inhibitors (CDKIs). Apart from its role as cell cycle regulators, CDKIs are involved in apoptosis, transcriptional regulation, cell fate determination, cell migration and cytoskeletal dynamics. As the complexes perform crucial and diverse functions, these are important drug targets for tumour and stem cell therapeutic interventions. However, CDKIs are represented by proteins with considerable sequence heterogeneity and may fail to be identified by simple similarity search methods. In this work we have evaluated and developed machine learning methods for identification of CDKIs. We used different compositional features and evolutionary information in the form of PSSMs, from CDKIs and non-CDKIs for generating SVM and ANN classifiers. In the first stage, both the ANN and SVM models were evaluated using Leave-One-Out Cross-Validation and in the second stage these were tested on independent data sets. The PSSM-based SVM model emerged as the best classifier in both the stages and is publicly available through a user-friendly web interface at http://bioinfo.icgeb.res.in/cdkipred

CRK9 contributes to regulation of mitosis and cytokinesis in the procyclic form of Trypanosoma brucei

<p>Abstract</p> <p>Background</p> <p>The <it>Trypanosoma brucei </it>cell cycle is regulated by combinations of cyclin/CRKs (cdc2 related kinases). Recently, two additional cyclins (CYC10, CYC11) and six new CRK (CRK7-12) homologues were identified in the <it>T. brucei </it>genome database <abbrgrp><abbr bid="B1">1</abbr><abbr bid="B2">2</abbr></abbrgrp>.</p> <p>Results</p> <p>Individual RNAi knockdowns of these new proteins in the procyclic form of <it>T. brucei </it>showed no apparent phenotype except for the CRK9 depletion, which enriched the cells in G2/M phase. But a similar CRK9 knockdown in the bloodstream form caused no apparent phenotype. CRK9 lacks the typical PSTAIRE motif for cyclin binding and the phenylalanine "gatekeeper" but binds to cyclin B2 <it>in vitro </it>and localizes to the nucleus in both forms of <it>T. brucei</it>. CRK9-depleted procyclic-form generated no detectable anucleate cells, suggesting an inhibition of cytokinesis by CRK9 depletion as well. The knockdown enriched cells with one nucleus, one kinetoplast and two closely associated basal bodies with an average distance of 1.08 mm in between, which was shorter than the control value of 1.36 μm, and the cells became morphologically deformed and rounded with time.</p> <p>Conclusion</p> <p>CRK9 may play a role in mediating the segregation between the two kinetoplast/basal body pairs prior to cytokinetic initiation. Since such a segregation over a relatively significant distance is essential for cytokinetic initiation only in the procyclic but may not be in the bloodstream form, CRK9 could be specifically involved in regulating cytokinetic initiation in the procyclic form of <it>T. brucei</it>.</p

The Use of Orthologous Sequences to Predict the Impact of Amino Acid Substitutions on Protein Function

Computational predictions of the functional impact of genetic variation play a critical role in human genetics research. For nonsynonymous coding variants, most prediction algorithms make use of patterns of amino acid substitutions observed among homologous proteins at a given site. In particular, substitutions observed in orthologous proteins from other species are often assumed to be tolerated in the human protein as well. We examined this assumption by evaluating a panel of nonsynonymous mutants of a prototypical human enzyme, methylenetetrahydrofolate reductase (MTHFR), in a yeast cell-based functional assay. As expected, substitutions in human MTHFR at sites that are well-conserved across distant orthologs result in an impaired enzyme, while substitutions present in recently diverged sequences (including a 9-site mutant that “resurrects” the human-macaque ancestor) result in a functional enzyme. We also interrogated 30 sites with varying degrees of conservation by creating substitutions in the human enzyme that are accepted in at least one ortholog of MTHFR. Quite surprisingly, most of these substitutions were deleterious to the human enzyme. The results suggest that selective constraints vary between phylogenetic lineages such that inclusion of distant orthologs to infer selective pressures on the human enzyme may be misleading. We propose that homologous proteins are best used to reconstruct ancestral sequences and infer amino acid conservation among only direct lineal ancestors of a particular protein. We show that such an “ancestral site preservation” measure outperforms other prediction methods, not only in our selected set for MTHFR, but also in an exhaustive set of E. coli LacI mutants

The minimal kinome of Giardia lamblia illuminates early kinase evolution and unique parasite biology

Background: The major human intestinal pathogen Giardia lamblia is a very early branching eukaryote with a minimal genome of broad evolutionary and biological interest. Results: To explore early kinase evolution and regulation of Giardia biology, we cataloged the kinomes of three sequenced strains. Comparison with published kinomes and those of the excavates Trichomonas vaginalis and Leishmania major shows that Giardia's 80 core kinases constitute the smallest known core kinome of any eukaryote that can be grown in pure culture, reflecting both its early origin and secondary gene loss. Kinase losses in DNA repair, mitochondrial function, transcription, splicing, and stress response reflect this reduced genome, while the presence of other kinases helps define the kinome of the last common eukaryotic ancestor. Immunofluorescence analysis shows abundant phospho-staining in trophozoites, with phosphotyrosine abundant in the nuclei and phosphothreonine and phosphoserine in distinct cytoskeletal organelles. The Nek kinase family has been massively expanded, accounting for 198 of the 278 protein kinases in Giardia. Most Neks are catalytically inactive, have very divergent sequences and undergo extensive duplication and loss between strains. Many Neks are highly induced during development. We localized four catalytically active Neks to distinct parts of the cytoskeleton and one inactive Nek to the cytoplasm. Conclusions: The reduced kinome of Giardia sheds new light on early kinase evolution, and its highly divergent sequences add to the definition of individual kinase families as well as offering specific drug targets. Giardia's massive Nek expansion may reflect its distinctive lifestyle, biphasic life cycle and complex cytoskeleton