247 resultados para POISSON


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Background:Systemic hypertension is highly prevalent and an important risk factor for cardiovascular events. Blood pressure control in hypertensive patients enrolled in the Hiperdia Program, a program of the Single Health System for the follow-up and monitoring of hypertensive patients, is still far below the desired level.Objective:To describe the epidemiological profile and to assess blood pressure control of patients enrolled in Hiperdia, in the city of Novo Hamburgo (State of Rio Grande do Sul, Brazil).Methods:Cross-sectional study with a stratified cluster random sample, including 383 adults enrolled in the Hiperdia Program of the 15 Basic Health Units of the city of Porto Alegre, conducted between 2010 and 2011. Controlled blood pressure was defined as ≤140 mmHg × 90 mmHg. The hypertensive patients were interviewed and their blood pressure was measured using a calibrated aneroid device. Prevalence ratios (PR) with 95% confidence interval, Wald's χ2 test, and simple and multiple Poisson regression were used in the statistical analysis.Results:The mean age was 63 ± 10 years, and most of the patients were females belonging to social class C, with a low level of education, a sedentary lifestyle, and family history positive for systemic hypertension. Diabetes mellitus (DM) was observed in 31%; adherence to the antihypertensive treatment in 54.3%; and 33.7% had their blood pressure controlled. DM was strongly associated with inadequate BP control, with only 15.7% of the diabetics showing BP considered as controlled.Conclusion:Even for hypertensive patients enrolled in the Hiperdia Program, BP control is not satisfactorily reached or sustained. Diabetic hypertensive patients show the most inappropriate BP control.

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Background:Cardiovascular research publications seem to be increasing in Latin America overall.Objective:To analyze trends in cardiovascular publications and their citations from countries in Latin America between 1999 and 2008, and to compare them with those from the rest of the countries.Methods:We retrieved references of cardiovascular publications between 1999 and 2008 and their five-year post-publication citations from the Web of Knowledge database. For countries in Latin America, we calculated the total number of publications and their citation indices (total citations divided by number of publications) by year. We analyzed trends on publications and citation indices over time using Poisson regression models. The analysis was repeated for Latin America as a region, and compared with that for the rest of the countries grouped according to economic development.Results:Brazil (n = 6,132) had the highest number of publications in1999-2008, followed by Argentina (n = 1,686), Mexico (n = 1,368) and Chile (n = 874). Most countries showed an increase in publications over time, leaded by Guatemala (36.5% annually [95%CI: 16.7%-59.7%]), Colombia (22.1% [16.3%-28.2%]), Costa Rica (18.1% [8.1%-28.9%]) and Brazil (17.9% [16.9%-19.1%]). However, trends on citation indices varied widely (from -33.8% to 28.4%). From 1999 to 2008, cardiovascular publications of Latin America increased by 12.9% (12.1%-13.5%) annually. However, the citation indices of Latin America increased 1.5% (1.3%-1.7%) annually, a lower increase than those of all other country groups analyzed.Conclusions:Although the number of cardiovascular publications of Latin America increased from 1999 to 2008, trends on citation indices suggest they may have had a relatively low impact on the research field, stressing the importance of considering quality and dissemination on local research policies.

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Abstract Background: Preeclampsia has been associated with several risk factors and events. However, it still deserves further investigation, considering the multitude of related factors that affect different populations. Objective: To evaluate the maternal factors and adverse perinatal outcomes in a cohort of pregnant women with preeclampsia receiving care in the public health network of the city of Maceió. Methods: Prospective cohort study carried out in 2014 in the public health network of the city with a sample of pregnant women calculated based on a prevalence of preeclampsia of 17%, confidence level of 90%, power of 80%, and ratio of 1:1. We applied a questionnaire to collect socioeconomic, personal, and anthropometric data, and retrieved perinatal variables from medical records and certificates of live birth. The analysis was performed with Poisson regression and chi-square test considering p values < 0.05 as significant. Results: We evaluated 90 pregnant women with preeclampsia (PWP) and 90 pregnant women without preeclampsia (PWoP). A previous history of preeclampsia (prevalence ratio [PR] = 1.57, 95% confidence interval [95% CI] 1.47 - 1.67, p = 0.000) and black skin color (PR = 1.15, 95% CI 1.00 - 1.33, p = 0.040) were associated with the occurrence of preeclampsia. Among the newborns of PWP and PWoP, respectively, 12.5% and 13.1% (p = 0.907) were small for gestational age and 25.0% and 23.2% (p = 0.994) were large for gestational age. There was a predominance of cesarean delivery. Conclusion: Personal history of preeclampsia and black skin color were associated with the occurrence of preeclampsia. There was a high frequency of birth weight deviations and cesarean deliveries.

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Abstract Background: Both poor aerobic fitness and obesity, separately, are associated with abnormal lipid profiles. Objective: To identify possible relationships of dyslipidemia with cardiorespiratory fitness and obesity, evaluated together, in children and adolescents. Methods: This cross-sectional study included 1,243 children and adolescents (563 males and 680 females) between 7 and 17 years of age from 19 schools. Obesity was assessed using body mass index (BMI) measurements, and cardiorespiratory fitness was determined via a 9-minute run/walk test. To analyze the lipid profile of each subject, the following markers were used: total cholesterol, cholesterol fractions (high-density lipoprotein and low-density lipoprotein) and triglycerides. Data were analyzed using SPSS v. 20.0, via prevalence ratio (PR), using the Poisson regression. Results: Dyslipidemia is more prevalent among unfit/overweight-obese children and adolescents compared with fit/underweight-normal weight boys (PR: 1.25; p = 0.007) and girls (PR: 1.30, p = 0.001). Conclusions: The prevalence of dyslipidemia is directly related to both obesity and lower levels of cardiorespiratory fitness.

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The main object of the present paper consists in giving formulas and methods which enable us to determine the minimum number of repetitions or of individuals necessary to garantee some extent the success of an experiment. The theoretical basis of all processes consists essentially in the following. Knowing the frequency of the desired p and of the non desired ovents q we may calculate the frequency of all possi- ble combinations, to be expected in n repetitions, by expanding the binomium (p-+q)n. Determining which of these combinations we want to avoid we calculate their total frequency, selecting the value of the exponent n of the binomium in such a way that this total frequency is equal or smaller than the accepted limit of precision n/pª{ 1/n1 (q/p)n + 1/(n-1)| (q/p)n-1 + 1/ 2!(n-2)| (q/p)n-2 + 1/3(n-3) (q/p)n-3... < Plim - -(1b) There does not exist an absolute limit of precision since its value depends not only upon psychological factors in our judgement, but is at the same sime a function of the number of repetitions For this reasen y have proposed (1,56) two relative values, one equal to 1-5n as the lowest value of probability and the other equal to 1-10n as the highest value of improbability, leaving between them what may be called the "region of doubt However these formulas cannot be applied in our case since this number n is just the unknown quantity. Thus we have to use, instead of the more exact values of these two formulas, the conventional limits of P.lim equal to 0,05 (Precision 5%), equal to 0,01 (Precision 1%, and to 0,001 (Precision P, 1%). The binominal formula as explained above (cf. formula 1, pg. 85), however is of rather limited applicability owing to the excessive calculus necessary, and we have thus to procure approximations as substitutes. We may use, without loss of precision, the following approximations: a) The normal or Gaussean distribution when the expected frequency p has any value between 0,1 and 0,9, and when n is at least superior to ten. b) The Poisson distribution when the expected frequecy p is smaller than 0,1. Tables V to VII show for some special cases that these approximations are very satisfactory. The praticai solution of the following problems, stated in the introduction can now be given: A) What is the minimum number of repititions necessary in order to avoid that any one of a treatments, varieties etc. may be accidentally always the best, on the best and second best, or the first, second, and third best or finally one of the n beat treatments, varieties etc. Using the first term of the binomium, we have the following equation for n: n = log Riim / log (m:) = log Riim / log.m - log a --------------(5) B) What is the minimun number of individuals necessary in 01der that a ceratin type, expected with the frequency p, may appaer at least in one, two, three or a=m+1 individuals. 1) For p between 0,1 and 0,9 and using the Gaussean approximation we have: on - ó. p (1-p) n - a -1.m b= δ. 1-p /p e c = m/p } -------------------(7) n = b + b² + 4 c/ 2 n´ = 1/p n cor = n + n' ---------- (8) We have to use the correction n' when p has a value between 0,25 and 0,75. The greek letters delta represents in the present esse the unilateral limits of the Gaussean distribution for the three conventional limits of precision : 1,64; 2,33; and 3,09 respectively. h we are only interested in having at least one individual, and m becomes equal to zero, the formula reduces to : c= m/p o para a = 1 a = { b + b²}² = b² = δ2 1- p /p }-----------------(9) n = 1/p n (cor) = n + n´ 2) If p is smaller than 0,1 we may use table 1 in order to find the mean m of a Poisson distribution and determine. n = m: p C) Which is the minimun number of individuals necessary for distinguishing two frequencies p1 and p2? 1) When pl and p2 are values between 0,1 and 0,9 we have: n = { δ p1 ( 1-pi) + p2) / p2 (1 - p2) n= 1/p1-p2 }------------ (13) n (cor) We have again to use the unilateral limits of the Gaussean distribution. The correction n' should be used if at least one of the valors pl or p2 has a value between 0,25 and 0,75. A more complicated formula may be used in cases where whe want to increase the precision : n (p1 - p2) δ { p1 (1- p2 ) / n= m δ = δ p1 ( 1 - p1) + p2 ( 1 - p2) c= m / p1 - p2 n = { b2 + 4 4 c }2 }--------- (14) n = 1/ p1 - p2 2) When both pl and p2 are smaller than 0,1 we determine the quocient (pl-r-p2) and procure the corresponding number m2 of a Poisson distribution in table 2. The value n is found by the equation : n = mg /p2 ------------- (15) D) What is the minimun number necessary for distinguishing three or more frequencies, p2 p1 p3. If the frequecies pl p2 p3 are values between 0,1 e 0,9 we have to solve the individual equations and sue the higest value of n thus determined : n 1.2 = {δ p1 (1 - p1) / p1 - p2 }² = Fiim n 1.2 = { δ p1 ( 1 - p1) + p1 ( 1 - p1) }² } -- (16) Delta represents now the bilateral limits of the : Gaussean distrioution : 1,96-2,58-3,29. 2) No table was prepared for the relatively rare cases of a comparison of threes or more frequencies below 0,1 and in such cases extremely high numbers would be required. E) A process is given which serves to solve two problemr of informatory nature : a) if a special type appears in n individuals with a frequency p(obs), what may be the corresponding ideal value of p(esp), or; b) if we study samples of n in diviuals and expect a certain type with a frequency p(esp) what may be the extreme limits of p(obs) in individual farmlies ? I.) If we are dealing with values between 0,1 and 0,9 we may use table 3. To solve the first question we select the respective horizontal line for p(obs) and determine which column corresponds to our value of n and find the respective value of p(esp) by interpolating between columns. In order to solve the second problem we start with the respective column for p(esp) and find the horizontal line for the given value of n either diretly or by approximation and by interpolation. 2) For frequencies smaller than 0,1 we have to use table 4 and transform the fractions p(esp) and p(obs) in numbers of Poisson series by multiplication with n. Tn order to solve the first broblem, we verify in which line the lower Poisson limit is equal to m(obs) and transform the corresponding value of m into frequecy p(esp) by dividing through n. The observed frequency may thus be a chance deviate of any value between 0,0... and the values given by dividing the value of m in the table by n. In the second case we transform first the expectation p(esp) into a value of m and procure in the horizontal line, corresponding to m(esp) the extreme values om m which than must be transformed, by dividing through n into values of p(obs). F) Partial and progressive tests may be recomended in all cases where there is lack of material or where the loss of time is less importent than the cost of large scale experiments since in many cases the minimun number necessary to garantee the results within the limits of precision is rather large. One should not forget that the minimun number really represents at the same time a maximun number, necessary only if one takes into consideration essentially the disfavorable variations, but smaller numbers may frequently already satisfactory results. For instance, by definition, we know that a frequecy of p means that we expect one individual in every total o(f1-p). If there were no chance variations, this number (1- p) will be suficient. and if there were favorable variations a smaller number still may yield one individual of the desired type. r.nus trusting to luck, one may start the experiment with numbers, smaller than the minimun calculated according to the formulas given above, and increase the total untill the desired result is obtained and this may well b ebefore the "minimum number" is reached. Some concrete examples of this partial or progressive procedure are given from our genetical experiments with maize.

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Na aplicação do X2-teste devemos distinguir dois casos : Á) Quando as classes de variáveis são caracterizadas por freqüências esperadas entre p = 0,1 e p = 0,9, podemos aplicar o X2-teste praticamente sem restrição. É talvez aconselhável, mas não absolutamente necessário limitar o teste aos casos nos quais a freqüência esperada é pelo menos igual a 5. e porisso incluimos na Táboa II os limites da variação de dois binômios ( 1/2 + 1/2)n ( 1/4 + 3/4)n para valo r es pequenos de N e nos três limites convencionais de precisão : ,5%, 1% e 0,1%. Neste caso, os valores dos X2 Índividuais têm apenas valor limitado e devemos sempre tomar em consideração principalmente o X2 total. O valor para cada X2 individual pode ser calculado porqualquer das expressôe seguintes: x2 = (f obs - f esp)²> f. esp = ( f obs - pn)2 pn = ( f obs% - p)2.N p% (100 - p%) O delta-teste dá o mesmo resultado estatístico como o X2-teste com duas classes, sendo o valor do X2-total algébricamente igual ao quadrado do valor de delta. Assim pode ser mais fácil às vezes calcular o X2 total como quadrado do desvio relativo da. variação alternativa : x² = ( f obs -pn)² p. (1-p)N = ( f obs - p %)2.N p% (100 - p%) B) Quando há classes com freqüência esperada menor do que p = 0,1, podemos analisar os seus valores individuais de X2, e desprezar o valor X2 para as classes com p maior do que 0,9. O X2-teste, todavia, pode agora ser aplicado apenas, quando a freqüência esperada for pelo menos igual ou maior do que 5 ou melhor ainda, igual ou maior do que 10. Quando a freqüência esperada for menor do que 5, a variação das freqüências observadas segue uma distribuição de Poisson, não sendo possível a sua substituição pela aproximação Gausseana. A táboa I dá os limites da variação da série de Poisson para freqüências esperadas (em números) desde 0,001 até 15. A vantagem do emprego da nova táboa I para a comparação, classe por classe, entre distribuições esperadas e observadas é explicada num exemplo concreto. Por meio desta táboa obtemos informações muito mais detablhadas do que pelo X2-teste devido ao fato que neste último temos que reunir as classes nas extremidades das distribuições até que a freqüência esperada atinja pelo menos o valor 5. Incluimos como complemento uma táboa dos limites X2, pára 1 até 30 graus de liberdade, tirada de um outro trabalho recente (BRIEGER, 1946). Para valores maiores de graus da liberdade, podemos calcular os limites por dois processos: Podemos usar uma solução dada por Fischer: √ 2 X² -√ 2 nf = delta Devem ser aplicados os limites unilaterais da distribuição de Gauss : 5%:1, 64; 1%:2,32; 0,1%:3,09: Uma outra solução podemos obter segundo BRIEGER (1946) calculando o valor: √ x² / nf = teta X nf = teta e procurando os limites nas táboas para limites unilaterais de distribuições de Fischer, com nl = nf(X2); n2 = inf; (BRIEGER, 1946).

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1 - This paper is a joined publication of the Dept. of Genetics, Escola Superior de Agricultura "Luiz de Queiroz", University of São Paulo, and Secção de Citricultura e Frutas Tropicais, Instituto Agronômico, de Campinas, and deal with the number of seed per fruit and the polyembryony in Citrus, with special reference to the pummelos (C. grandis). 2 - For C. pectinifera, hibrid limon x acid lime, C. histrix and Citrus sp. the mean of seeds per fruit is 5,8 - 17,3 - 30,2 -94,6; for 14 pummelos the average was 100 and the range of variation 11 to 185 seeds per fruit. For the four above mentioned Citrus the cotyledons were classified into 3 types: big (near 8 mm.), medium (near 6 mm) and small (near 4 mm) and for the pummelos there was only one size of cotyledons, about 10 mm (table 1). 3 - The polyembryony was determined by two processes: a) counting of the embryos in the mature seed; b) counting after germination in flats or seed-beds. The rasults obtained are in table 2; the process a gave larger results than process b.The following pummelos are monoembryonics: melancia, inerme, Kaune Paune, sunshine, vermelha, Singapura, periforme, Zamboa, doce, Indochina, Lau-Tau, Shantenyau and Siamesa. Sometime it was found a branching of the main stem that gave a impression of polyembryonic seeds. 4 - It was shown by the x2 test that the distribution of embryo numbers fits the Poisson's series (table 2) in both processes. 5 - It is discussed in table 2 the variability of polyembryony for the following cases: a) between plants, within years. The teste for the differences of mean of polyembryony between 3 plants of C. pectinifera is statistically significant in 1948 and 1949; b) between yields of the same plant, within year. The same case of C. pectinifera may be used for this purpose; c) between process, within year. It is shown in table 3, for C. pectinifera and the hibrid "limon x acid lime" that there is a statistically signicicant between both process above mentioned.

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Every year, autochthonous cases of Plasmodium vivax malaria occur in low-endemicity areas of Vale do Ribeira in the south-eastern part of the Atlantic Forest, state of São Paulo, where Anopheles cruzii and Anopheles bellator are considered the primary vectors. However, other species in the subgenus Nyssorhynchus of Anopheles (e.g., Anopheles marajoara) are abundant and may participate in the dynamics of malarial transmission in that region. The objectives of the present study were to assess the spatial distribution of An. cruzii, An. bellator and An. marajoara and to associate the presence of these species with malaria cases in the municipalities of the Vale do Ribeira. Potential habitat suitability modelling was applied to determine both the spatial distribution of An. cruzii, An. bellator and An. marajoara and to establish the density of each species. Poisson regression was utilized to associate malaria cases with estimated vector densities. As a result, An. cruzii was correlated with the forested slopes of the Serra do Mar, An. bellator with the coastal plain and An. marajoara with the deforested areas. Moreover, both An. marajoara and An. cruzii were positively associated with malaria cases. Considering that An. marajoara was demonstrated to be a primary vector of human Plasmodium in the rural areas of the state of Amapá, more attention should be given to the species in the deforested areas of the Atlantic Forest, where it might be a secondary vector.

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The interleukin (IL)-2R alpha chain (CD25) is expressed on regulatory T cells (Treg), which constitute more than 85% of the CD25+ T cell population in a naïve mouse. CD25 is also expressed on effector T cells in mice suffering from an acute infection by the obligate intracellular protozoan parasite, Toxoplasma gondii. Lethal toxoplasmosis is accompanied by a significant loss of Treg in mice naturally susceptible to toxoplasmosis. The present study was done to explore the role of Treg cells using an anti-CD25 antibody-mediated depletion in mice naturally resistant to toxoplasmosis. Although a significant decrease in the percentage of Treg cells was observed following anti-CD25 monoclonal antibody injections, the depletion of CD25+ cells during acute toxoplasmosis did not significantly increase the mortality of Swiss OF1 mice and no significant difference was observed in the brain parasitic load between the mice in the depleted-infected and isotype-infected groups. We found no significant difference between the titres of total IgG in the sera of the mice from the two groups in the chronic phase. However, CD25+ cells depletion was followed by significantly higher levels of IL-12 in the serum of depleted mice than in that of mice injected with the isotype control antibody.

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Objective: Presenting a Virtual Environment (VE) based on the Protocol of Treatment of Hypertension and Diabetes Mellitus type 2, used in Primary Care for evaluation of dietary habits in nursing consultations. Method: An experimental study applied by two nurses and a nurse manager, in a sample of 30 deaf patients aged between 30 and 60 years. The environment was built in Visual Basic NET and offered eight screens about feeding containing food pictures, videos in Libras (Brazilian sign language) and audio. The analysis of the VE was done through questionnaires applied to patients and professionals by the Poisson statistical test. Results: The VE shows the possible diagnostics in red, yellow, green and blue colors, depending on the degree of patients’ need. Conclusion: The environment obtained excellent acceptance by patients and nurses, allowing great interaction between them, even without an interpreter. The time in consultation was reduced to 15 minutes, with the preservation of patient privacy.

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Objective To associate the sleep quality of Brazilian undergraduate students with health indicators. Method A cross-sectional study was developed with a random sample of 662 undergraduate students from Fortaleza, Brazil. The demographic data, Pittsburgh Sleep Quality Index and health data indicators (smoking, alcoholism, sedentary lifestyle, nutritional condition and serum cholesterol) were collected through a self-administered questionnaire. Blood was collected at a clinical laboratory. In order to estimate the size of the associations, a Poisson Regression was used. Results For students who are daily smokers, the occurrence of poor sleep was higher than in non-smokers (p<0.001). Prevalence rate values were nevertheless close to 1. Conclusion The likelihood of poor sleep is almost the same in smokers and in alcoholics.


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Distribuição espacial de Aphis gossypii (Glover) (Hemiptera, Aphididae) e Bemisia tabaci (Gennadius) biótipo B (Hemiptera, Aleyrodidae) em algodoeiro Bt e não-Bt. O estudo da distribuição espacial de adultos de Bemisia tabaci e de Aphis gossypii nas culturas do algodoeiro Bt e não-Bt é fundamental para a otimização de técnicas de amostragens, além de revelar diferenças de comportamento de espécies não-alvo dessa tecnologia Bt entre as duas cultivares. Nesse sentido, o experimento buscou investigar o padrão da distribuição espacial dessas espécies de insetos no algodoeiro convencional não-Bt e no cultivar Bt. As avaliações ocorreram em dois campos de 5.000 m² cada, nos quais se realizou 14 avaliações com contagem de adultos da mosca-branca e colônias de pulgões. Foram calculados os índices de agregação (razão variância/média, índice de Morisita e Expoente k da Distribuição Binomial Negativa) e realizados os testes ajustes das classes numéricas de indivíduos encontradas e esperadas às distribuições teóricas de freqüência (Poisson, Binomial Negativa e Binomial Positiva). Todas as análises mostraram que, em ambas as cultivares, a distribuição espacial de B. tabaci ajustou-se a distribuição binomial negativa durante todo o período analisado, indicando que a cultivar transgênica não influenciou o padrão de distribuição agregada desse inseto. Já com relação às análises para A. gossypii, os índices de agregação apontaram distribuição agregada nas duas cultivares, mas as distribuições de freqüência permitiram concluir a ocorrência de distribuição agregada apenas no algodoeiro convencional, pois não houve nenhum ajuste para os dados na cultivar Bt. Isso indica que o algodão Bt alterou o padrão normal de dispersão dos pulgões no cultivo.

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Nest plasticity of Cornitermes silvestrii (Isoptera, Termitidae, Syntermitinae) in response to flood pulse in the Pantanal, Mato Grosso, Brazil. The Pantanal is one of the largest wetlands in the world. Since many areas in Pantanal are flooded during part of the year, it is expected that plants and animals would have mechanisms for their survival during the flooded period. This study investigated the existence of differences in nest shape and inquilines of Cornitermes silvestrii in areas influenced by the flood pulse. We measured the volume, height, width, and height/width ratio of 32 nests in flooded areas and 27 in dry areas, and performed an one-way-Anova with the quasi-Poisson distribution to determine if there were differences in the nest measurements between the points. To analyze the relationship of nest inquilines to flood pulse and nest shape, we performed a regression with a Poisson distribution with the inquiline richness and flood pulse, and the above measurements. The nests of C. silvestrii in flooded areas were significantly higher than nests in dry areas, and had a larger height/width ratio. Colonies in periodically flooded areas would probably make a larger effort to extend their nests vertically, to maintain at least some portion of the structure out of the water and prevent the entire colony from being submerged. Neither the size of the nest nor the flood pulses influenced the assemblage of 11 species found in nests of C. silvestrii.

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Usando os dados reportados em artigos publicados em revistas brasileiras e trabalhos apresentados em congressos nacionais, replicaram-se as aplicações da Lei de Lotka à literatura brasileira em 10 campos diferentes. Utilizou-se o modelo do poder inverso pelos métodos do mínimo quadrado e probabilidade máxima. Das 10 literaturas nacionais analisadas, somente a literatura de medicina, siderurgia, jaca e biblioteconomia ajustaram-se ao modelo do poder inverso generalizado pelo método dos mínimos quadrados. No entanto, só duas literaturas (veterinária e cartas do Arquivo Privado de Getúlio Vargas) não se ajustaram ao modelo quando se usou o método da máxima probabilidade. Para ambas literaturas, tentaram-se modelos diferentes. A literatura de veterinária ajustou-se à distribuição binomial negativa, e as cartas do Arquivo Privado de Getúlio Vargas ajustaram-se melhor à distribuição Gauss-Poisson Inversa Generalizada.

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Estuda a produção estratificada dos autores produtores da literatura sobre a Lei de Lotka de 1922 a 2003 e analisa essa produtividade através dos modelos Poisson lognormal e Gauss Poisson inversa generalizada. Para tanto, faz uso dos três tipos de contagem da literatura produzida: contagem direta, contagem completa e contagem fracionada. Os dados da pesquisa são avaliados usando o teste qui-quadrado ao 0.05 nível de significância. Ambos os modelos ajustam-se muito bem à distribuição da literatura produzida, porém a distribuição Poisson Gauss inversa generalizada produz um chi-quadrado menor e prediz melhor o total de autores do que a distribuição Poisson Lognormal.