Equivariant Nielsen root theory for G-maps

Let X be a compact Hausdorff space, Y be a connected topological manifold, f : X -> Y be a map between closed manifolds and a is an element of Y. The vanishing of the Nielsen root number N(f; a) implies that f is homotopic to a root free map h, i.e., h similar to f and h(-1) (a) = empty set. In this paper, we prove an equivariant analog of this result for G-maps between G-spaces where G is a finite group. (C) 2010 Elsevier B.V. All rights reserved.

Use of self-organizing maps and molecular descriptors to predict the cytotoxic activity of sesquiterpene lactones

Some sesquiterpene lactones (SLs) are the active compounds of a great number of traditionally medicinal plants from the Asteraceae family and possess considerable cytotoxic activity. Several studies in vitro have shown the inhibitory activity against cells derived from human carcinoma of the nasopharynx (KB). Chemical studies showed that the cytotoxic activity is due to the reaction of alpha,beta-unsaturated carbonyl structures of the SLs with thiols, such as cysteine. These studies support the view that SLs inhibit tumour growth by selective alkylation of growth-regulatory biological macromolecules, such as key enzymes, which control cell division, thereby inhibiting a variety of cellular functions, which directs the cells into apoptosis. In this study we investigated a set of 55 different sesquiterpene lactones, represented by 5 skeletons (22 germacranolides, 6 elemanolides, 2 eudesmanolides, 16 guaianolides and nor-derivatives and 9 pseudoguaianolides), in respect to their cytotoxic properties. The experimental results and 3D molecular descriptors were submitted to Kohonen self-organizing map (SOM) to classify (training set) and predict (test set) the cytotoxic activity. From the obtained results, it was concluded that only the geometrical descriptors showed satisfactory values. The Kohonen map obtained after training set using 25 geometrical descriptors shows a very significant match, mainly among the inactive compounds (similar to 84%). Analyzing both groups, the percentage seen is high (83%). The test set shows the highest match, where 89% of the substances had their cytotoxic activity correctly predicted. From these results, important properties for the inhibition potency are discussed for the whole dataset and for subsets of the different structural skeletons. (C) 2008 Elsevier Masson SAS. All rights reserved.

Classification of Parkinson’s Disease using MultiPass Lvq,Logistic Model Tree,K-Star for Audio Data set : Classification of Parkinson Disease using Audio Dataset

Parkinson's disease (PD) is a degenerative illness whose cardinal symptoms include rigidity, tremor, and slowness of movement. In addition to its widely recognized effects PD can have a profound effect on speech and voice.The speech symptoms most commonly demonstrated by patients with PD are reduced vocal loudness, monopitch, disruptions of voice quality, and abnormally fast rate of speech. This cluster of speech symptoms is often termed Hypokinetic Dysarthria.The disease can be difficult to diagnose accurately, especially in its early stages, due to this reason, automatic techniques based on Artificial Intelligence should increase the diagnosing accuracy and to help the doctors make better decisions. The aim of the thesis work is to predict the PD based on the audio files collected from various patients.Audio files are preprocessed in order to attain the features.The preprocessed data contains 23 attributes and 195 instances. On an average there are six voice recordings per person, By using data compression technique such as Discrete Cosine Transform (DCT) number of instances can be minimized, after data compression, attribute selection is done using several WEKA build in methods such as ChiSquared, GainRatio, Infogain after identifying the important attributes, we evaluate attributes one by one by using stepwise regression.Based on the selected attributes we process in WEKA by using cost sensitive classifier with various algorithms like MultiPass LVQ, Logistic Model Tree(LMT), K-Star.The classified results shows on an average 80%.By using this features 95% approximate classification of PD is acheived.This shows that using the audio dataset, PD could be predicted with a higher level of accuracy.

Triggering Solar-Powered Vehicle Activated Signs using Self Organising Maps with K-means

Solar-powered vehicle activated signs (VAS) are speed warning signs powered by batteries that are recharged by solar panels. These signs are more desirable than other active warning signs due to the low cost of installation and the minimal maintenance requirements. However, one problem that can affect a solar-powered VAS is the limited power capacity available to keep the sign operational. In order to be able to operate the sign more efficiently, it is proposed that the sign be appropriately triggered by taking into account the prevalent conditions. Triggering the sign depends on many factors such as the prevailing speed limit, road geometry, traffic behaviour, the weather and the number of hours of daylight. The main goal of this paper is therefore to develop an intelligent algorithm that would help optimize the trigger point to achieve the best compromise between speed reduction and power consumption. Data have been systematically collected whereby vehicle speed data were gathered whilst varying the value of the trigger speed threshold. A two stage algorithm is then utilized to extract the trigger speed value. Initially the algorithm employs a Self-Organising Map (SOM), to effectively visualize and explore the properties of the data that is then clustered in the second stage using K-means clustering method. Preliminary results achieved in the study indicate that using a SOM in conjunction with K-means method is found to perform well as opposed to direct clustering of the data by K-means alone. Using a SOM in the current case helped the algorithm determine the number of clusters in the data set, which is a frequent problem in data clustering.

USGS Topographic Maps over a Hillshaded Digital Elevation Model

http://digitalcommons.colby.edu/atlasofmaine2005/1013/thumbnail.jpg

February 2008: Maps

http://digitalcommons.winthrop.edu/dacusdocsnews/1026/thumbnail.jpg

Disfunção autonômica e doença vascular periférica em pacientes com diabete melito tipo 2

A disfunção autonômica está associada com aumento da mortalidade em pacientes diabéticos, especialmente naqueles com doença cardiovascular. Neuropatia periférica, mau controle glicêmico, dislipidemia e hipertensão são alguns dos fatores de risco para o desenvolvimento de doença vascular periférica (DVP) nestes pacientes. O objetivo deste estudo foi avaliar os fatores de risco associados com a presença de DVP em pacientes com DM tipo 2. Um estudo transversal foi realizado em 84 pacientes com DM tipo 2 ( 39 homens, idade média de 64,9 ± 7,5 anos). Os pacientes foram submetidos a uma avaliação clínica e laboratorial. A presença de DVP foi definida, utilizando-se um um aparelho manual de ultrasom com doppler (índice perna-braço < 0,9). A atividade autonômica foi avaliada através da análise da variabilidade da freqüência cardíaca (HRV) por métodos no domínio do tempo e da freqüência (análise espectral), e pelo mapa de retorno tridimensional durante o período do dia e da noite. Para a análise da HRV, um eletrocardiograma de 24 horas foi gravado e as fitas analisadas em um analisador de Holter Mars 8000 (Marquete). A potência espectral foi quantificada pela área em duas bandas de freqüência: 0,04-0,15 Hz – baixa freqüência (BF), 0,015-0,5 Hz – alta freqüência (AF). A razão BF/AF foi calculada em cada paciente. O mapa de retorno tridimensional foi construído através de um modelo matemático onde foram analisados os intervalos RR versus a diferença entre os intervalos RR adjacentes versus o número de contagens verificadas, e quantificado por três índices refletindo a modulação simpática (P1) e vagal (P2 e P3). DVP estava presente em 30 (36%) pacientes. Na análise univariada, pacientes com DVP apresentaram índices que refletem a modulação autonômica (análise espectral) diminuídos quando comparados aos pacientes sem DVP, respectivamente: BF = 0,19 ± 0,07 m/s2 vs. 0,29 ± 0,11 m/s2 P = 0,0001; BF/AF = 1,98 ± 0,9 m/s2 vs. 3,35 ± 1,83 m/s2 p = 0,001. Além disso, o índice que reflete a atividade simpática no mapa de retorno tridimensional (P1), foi mais baixo em pacientes com DVP (61,7 ± 9,4 vs. 66,8 ± 9,7 unidades arbitrárias, P = 0,04) durante a noite, refletindo maior ativação simpática neste período. Estes pacientes também apresentavam uma maior duração do diabetes (20 ± 8,1 vs. 15,3 ± 6,7 anos, P = 0,006), níveis de pressão arterial sistólica (154 ± 20 vs. 145 ± 20 mmHg, P = 0,04), razão cintura-quadril ( 0,98 ± 0,09 vs.0,92 ± 0,08, P = 0,01), e níveis de HbA1c mais elevados (7,7 ± 1,6 vs. 6,9 ± 1,7 %, P = 0,04), bem como valores de triglicerídeos ( 259 ± 94 vs. 230 ± 196 mg/dl, P= 0,03) e de excreção urinária de albumina ( 685,5 ± 1359,9 vs. 188,2 ± 591,1 μ/min, P = 0,02) superiores aos dos pacientes sem DVP.. Nos pacientes com DVP observou-se uma presença aumentada de nefropatia diabética (73,3% vs. 29,6% P = 0,0001), de retinopatia (73,3% vs. 44,4% P = 0,02) e neuropatia periférica (705 vs. 35,1% P = 0,006). Os grupos não diferiram quanto à idade, índice de massa corporal, tabagismo e presença de doença arterial coronariana. Na análise logística multivariada, a DVP permaneceu associada com a disfunção autonômica, mesmo após ter sido controlada pela pressão arterial sistólica, duração do DM, HbA1c, triglicerídeos e excreção urinária de albumina. Concluindo, pacientes com DVP e DM tipo 2 apresentam índices que refletem a modulação autonômica diminuídos, o que pode representar um fator de risco adicional para o aumento da mortalidade nestes pacientes.

Nonautonomous difference equations with applications

This work is divided in two parts. In the first part we develop the theory of discrete nonautonomous dynamical systems. In particular, we investigate skew-product dynamical system, periodicity, stability, center manifold, and bifurcation. In the second part we present some concrete models that are used in ecology/biology and economics. In addition to developing the mathematical theory of these models, we use simulations to construct graphs that illustrate and describe the dynamics of the models. One of the main contributions of this dissertation is the study of the stability of some concrete nonlinear maps using the center manifold theory. Moreover, the second contribution is the study of bifurcation, and in particular the construction of bifurcation diagrams in the parameter space of the autonomous Ricker competition model. Since the dynamics of the Ricker competition model is similar to the logistic competition model, we believe that there exists a certain class of two-dimensional maps with which we can generalize our results. Finally, using the Brouwer’s fixed point theorem and the construction of a compact invariant and convex subset of the space, we present a proof of the existence of a positive periodic solution of the nonautonomous Ricker competition model.

New developmental stages for common marmosets (Callithrix jacchus) using mass and age variables obtained by K-means algorithm and self-organizing maps (SOM)

LEÃO, Adriano de Castro; DÓRIA NETO, Adrião Duarte; SOUSA, Maria Bernardete Cordeiro de. New developmental stages for common marmosets (Callithrix jacchus) using mass and age variables obtained by K-means algorithm and self-organizing maps (SOM). Computers in Biology and Medicine, v. 39, p. 853-859, 2009

Comparison of logistic and neural network models to fit to the egg production curve of White Leghorn hens

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Self-Organizing Maps as a New Tool for Classification of Plants at Lower Hierarchical Levels

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Extended depth from focus reconstruction using NIH ImageJ plugins: Quality and resolution of elevation maps

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Genetic linkage maps of chicken chromosomes 6, 7, 8, 11 and 13 from a Brazilian resource population

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)