Infecção pelo vírus da hepatite C na região Amazônica brasileira

O artigo avalia informações científicas disponíveis sobre a prevalência e características clínicas da infecção pelo virus da hepatite C na Amazônia Brasileira, uma área sabidamente endêmica para infecção pelos vírus das hepatites A, B e D. Toda a informação foi obtida através de extensa revisão bibliográfica de artigos originais e de revisão e de resumos publicados em periódicos conceituados ou em eventos científicos. Na Região Amazônica, a taxa de prevalência de infecção por VHC na população geral varia de 1,1 a 2,4%. Entre doadores de sangue as taxas de prevalência variam de 0,8% a 5,9%. O Estado do Pará (Amazônia oriental) e do Acre (Amazônia ocidental) apresentam as maiores taxas, 2% e 5,9%, respectivamente. Com relação à prevalência da infecção pelo VHC em grupos de risco, observa-se alta prevalência entre hemodiálisados (48,1% - 51,9%), profissionais de saúde (3,2%), contactantes de portadores do VHC (10%) e pacientes com lichen plannus (7,5%). Existe uma predominância significativa do genótipo 1, com maior freqüência do subtipo 1b. A infecção pelo VHC é similar em homens e mulheres e a maioria dos infectados têm mais de 39 anos de idade. A principal via de infecção é a parenteral e os principais fatores de risco são transfusão sangüínea e procedimentos cirúrgicos. O VHC raramente é responsável por hepatite aguda grave nesta região. Por outro lado, de todas as hepatites crônicas, 22,6% são atribuídas ao VHC na Amazônia Ocidental e 25% na Amazônia Oriental. Na Amazônia Brasileira, a infecção pelo VHC parece ter o mesmo comportamento da infecção em outras partes do mundo.

HIV genotyping among female sex workers in the State of Santa Catarina

The objective of this study was to investigate the frequency of HIV infection among female sex workers in the port area of Imbituba (State of Santa Catarina), and to identify the viral subtype and its susceptibility to antiretroviral medications. Ninety women were interviewed between December 2003 and February 2004. Six (6.7%) were HIV-positive. Genotyping for HIV, performed on four samples, detected subtype C in three of them, which is predominant in Africa and Asia, and subtype B in one of them, which is prevalent in Brazil, USA and Europe. The results suggest that the Port of Imbituba may be one of the gateways for HIV-1 subtype C to enter Brazil, and for its dissemination to the rest of the country and the Mercosul area, along the highway BR-101. This points towards the need for preventive work to reduce the introduction and dissemination of HIV subtype C in Brazil.

Epidemiological and molecular characteristics of HIV-1 infection among female commercial sex workers, men who have sex with men and people living with AIDS in Paraguay

An HIV seroprevalence and molecular study was conducted among 935 subjects: 723 female commercial sex workers, 92 men who have sex with men and 120 HIV-positive volunteers. The reported injection drug use rates were 0.7% in female commercial sex workers and 3% in men who have sex with men. Sexually transmitted infections were reported in 265 (37%) of the female commercial sex workers and 38 (41%) of the men who have sex with men. A total of 20 (2.8%) female commercial sex workers and 12 (13%) men who have sex with men became HIV infected during the study period. A history of sexually transmitted infection increased the risk of subsequent HIV infection twofold (adjusted odds ratio of 2.5) among the female commercial sex workers, while cocaine use had an adjusted odds ratios of 6.61 among men who have sex with men. From 130 samples, and based on heteroduplex mobility assaying for the env gene, with sequencing of part of pol and/or full genomes, subtype B was the predominant subtype identified (66%); followed by subtype F (22%) and subtype C (4%). Recombinant CRF12-BF strains were identified in 6% and CRF17_BF was identified in 2%.

Alta prevalência do genótipo 1 em portadores de hepatite C crônica em Belo Horizonte, MG

O vírus da hepatite C é caracterizado pela significativa heterogeneidade genética e é atualmente classificado em seis genótipos principais e diversos subtipos. A determinação do genótipo do vírus tem importância na prática clínica para orientar o tratamento dos pacientes portadores de hepatite C crônica. A prevalência dos diferentes genótipos e subtipos do vírus da hepatite C não tem sido amplamente estudada em algumas regiões do Brasil. Neste estudo foram analisadas 788 amostras de pacientes portadores de hepatite C crônica atendidos nos Centros de Referência em Hepatites Virais de Belo Horizonte, entre 2002 e 2006. A genotipagem do vírus foi realizada por seqüenciamento direto da região 5’ UTR. Adicionalmente, foi realizada análise filogenética incluindo todas as variantes genotípicas obtidas. Observou-se alta prevalência do genótipo 1 (78,4%; 1b [40,4%], 1a [37,5%] e 1a/b [0,5 %]), seguida pelo genótipo 3a (17,9%) e pelo 2b (3,1%). Foram identificadas três amostras (0,4%) com o genótipo 2a/c e duas amostras (0,2%) com o genótipo 4. A análise filogenética mostrou a segregação esperada das seqüências obtidas junto às seqüências de referência para os genótipos 1, 2, 3 e 4, exceto em duas amostras do genótipo 1a. A alta prevalência do genótipo 1 (78,4%), encontrada na população de Belo Horizonte é semelhante à previamente descrita em outras cidades, como Rio de Janeiro, mas superior à encontrada em São Paulo e no Sul do país. A presença de raras seqüências atípicas da região 5’UTR sugere a presença de variantes do vírus da hepatite C nesta população.

Hepatite C e gestação: análise de fatores associados à transmissão vertical

INTRODUÇÃO: Informações sobre hepatite C durante a gestação em serviços brasileiros são escassas. O objetivo deste estudo foi verificar os fatores associados à transmissão vertical do vírus da hepatite C em gestantes. MÉTODOS: Estudo observacional, transversal, realizado em gestantes procedentes do município de Campo Grande/MS, que apresentaram sorologia reagente e confirmada para VHC, no período de 2002 a 2005. Considerou-se transmissão vertical sorologia VHC positiva por ELISA, confirmada com PCR, após os 18 meses de vida do recém-nascido. Considerou-se fatores associados a TV: tipo de parto, tempo de rotura de membranas, amamentação, histórico de transfusões sanguíneas prévias, uso de drogas ilícitas, número de parceiros sexuais e presença de tatuagens pelo corpo. RESULTADOS: Identificou-se 58 gestantes portadoras do VHC, revelando prevalência de infecção de 0,2% (58/31.187). Das 58 pacientes, 23 (39,6%) preencheram os critérios de inclusão no estudo. A taxa de TV foi de 13% (3/23), sendo os subtipos virais mais frequentes: 1a (53%), 1b (30%), 2b (4%) e 3a (13%). Duas (8,7%) pacientes apresentaram co-infecção pelo HIV. Houve associação (p < 0,05) entre TV e carga viral elevada (> 2,5x10(6)) e entre TV e uso de drogas ilícitas pela mãe (p < 0,05). CONCLUSÕES: O presente estudo demonstra que elevada viremia materna e o uso de drogas ilícitas pela mãe associam-se a transmissão materno-fetal do VHC.

Do differences exist between chronic hepatitis C genotypes 2 and 3?

Introduction Six genotypes of the hepatitis C virus (HCV) have been identified thus far, and their distribution is well defined. Genotype 1, which is the most prevalent worldwide, is always compared to genotypes 2 and 3, particularly in terms of treatment response. However, little is known about the differences between genotypes 2 and 3 because these genotypes are analyzed together in most studies. Therefore, the aim of this study was to evaluate differences in the clinical, epidemiological, laboratory, and histological parameters between HCV-2 and HCV-3. Methods Patients with chronic hepatitis C infected with genotypes 2 and 3 were studied retrospectively and compared according to clinical, laboratory, and histological aspects. Hepatitis C virus-ribonucleic acid (HCV-RNA) was analyzed quantitatively by TaqMan® real-time PCR, and the HCV genotype was determined by sequencing the 5′-untranslated region. Results A total of 306 patients with chronic HCV-2 (n=50) and HCV-3 (n = 256) were studied. Subtype 2b (n=17/50) and subtype 3a (n=244/256) were the most prevalent among patients infected with HCV-2 and HCV-3, respectively. The mean age was 47 ± 10 years, and there was a predominance of men in the group studied (61%). Comparative analysis between HCV-2 and HCV-3 showed a younger age (p=0.002), less prevalence of arterial hypertension (p=0.03), higher serum albumin levels (p=0.01), more advanced stage of liver fibrosis (p=0.03), and higher frequency of steatosis in patients with HCV-3 (p=0.001). After multivariate regression analysis, all the variables, except serum albumin, remained as variables associated with HCV-3 in the final model. Conclusions Clinical and histological differences exist between HCV-2 and HVC-3, which suggests the need for separate analyses of these genotypes.

HIV-1 epidemiology and circulating subtypes in the countryside of South Brazil

INTRODUCTION: Human immunodeficiency virus type 1 (HIV-1) has spread worldwide, with several subtypes and circulating recombinant forms. Brazil has an incidence of 20.5 HIV-1/acquired immunodeficiency syndrome (AIDS) patients per 100,000 inhabitants; however, the Southernmost State of Rio Grande do Sul (RS) has more than twice the number of HIV-1-infected people (41.3/100,000 inhabitants) and a different pattern of subtype frequencies, as previously reported in studies conducted in the capital (Porto Alegre) and its metropolitan region. This study examined HIV-1/AIDS epidemiological and molecular aspects in the countryside of Rio Grande do Sul. METHODS: Socio-demographic, clinical and risk behavioral characteristics were obtained from HIV-1-positive adult patients using a structured questionnaire. HIV-1 subtypes were determined by nested-polymerase chain reaction (PCR) and sequencing of the pol and env genes. RESULTS: The study sample included 149 (55% women) patients with a mean age of 41.8 ± 11.9 years. Most (73.8%) patients had a low education level and reported heterosexual practices as the most (91.9%) probable transmission route. HIV-1 subtypes were detected in 26 patients: 18 (69.2%) infected with subtype C, six (23.1%) infected with subtype B and two (7.7%) infected with BC recombinant forms. CONCLUSIONS: These data highlight the increasing number of HIV-1 subtype C infections in the countryside of South Brazil.

1,3-Diarilpropanos de Iryanthera paraensis e Iryanthera tricornis

Iryanthera paraensis e I. tricornis (Myristicaceae) contêm na madeira de seus troncos 1-(2', 4' - dihidroxifenil) -3- (4", 5"-metilenodoxi-2" -metoxifenil) -propano (1a 1-(2', 4' dihidroxifenil) -3-(3", 4" -metilenodioxifenil)-propano (1b) e 1-(4' -hidroxi -2'-metoxifenil) -3-(4"-hidroxi-3"-metoxifenil) -propano (1c). Apenas da primeira espécie se isolou adicionalmente 1-(2', 4'-dihidroxi-3' -metilfenil)-3-(4", 5"-metilenodioxi-2"- metoxifenil) -propano (1d) e 1-(2'-hidroxi-4'metoxifenil) -3-(3", 4"-metilenodioxifenil) -propano (1e). Dados espectroscópicos para a substância 1b, são descritos pela primeira vez.

Cerebral calcifications and schizophreniform disorder

OBJECTIVES: Discuss pathophysiological aspects of cerebral calcifications (CC) and highlight its importance related to the occurrence of neuropsychiatric syndromes. METHOD: Single case report. RESULT: Man 52 years old, 20 years after going through a total thyroidectomy, starts showing behavioral disturbance (psychotic syndrome). He was diagnosed as schizophrenic (paranoid subtype) and submitted to outpatient psychiatric treatment. During a psychiatric admission to evaluate his progressive cognitive and motor deterioration, we identified a dementia syndrome and extensive cerebral calcifications, derived from iatrogenic hypoparathyroidism. CONCLUSION: The calcium and phosphorus disturbances, including hypoparathyroidism, are common causes of CC. Its symptoms can imitate psychiatric disorders and produce serious and permanent cognitive sequelae. The exclusion of organicity is mandatory in any psychiatric investigative diagnosis in order to avoid unfavorable outcomes, such as in the present case report.

Registro de 24 horas da pressão arterial em tabagistas e não-tabagistas

OBJETIVO: Avaliar o efeito do tabagismo sobre o comportamento da pressão arterial durante 24 horas, mediante análise dos parâmetros da monitorização ambulatorial da pressão arterial (MAPA). MÉTODOS: Foram estudados 289 exames de MAPA de pacientes classificados como fumantes ou não-fumantes. Os parâmetros analisados foram: médias pressóricas sistólica e diastólica durante 24 horas, na vigília e no sono, descenso noturno sistólico e diastólico e cargas pressóricas. De acordo com o uso ou não de medicação anti-hipertensiva, foram subdivididos em quatro grupos: 1A - com medicação, não-tabagistas; 1B - com medicação, tabagistas; 2A - sem medicação, não-tabagistas; e 2B - sem medicação, tabagistas. Foram descritas as variáveis por valores mínimo, máximo, mediana, média e desvio-padrão e foi feita a análise univariada, com comparação dos grupos de fumantes e não-fumantes. A análise multivariada selecionou as variáveis significativamente diferentes entre os grupos e o nível de significância adotado foi de 5%. RESULTADOS: As médias pressóricas sistólica e diastólica na vigília foram significativamente mais elevadas nos tabagistas, que usavam ou não medicação anti-hipertensiva. As médias pressóricas noturnas foram semelhantes entre tabagistas e não-tabagistas. As médias pressóricas sistólicas nas 24 horas foram significativamente mais elevadas nos tabagistas em uso ou não de medicação. O descenso noturno não diferiu entre os grupos. As cargas pressóricas foram significativamente mais elevadas nos tabagistas em todos os períodos, independentemente do uso de medicação. CONCLUSÃO: Tabagistas apresentam, durante a vigília, médias pressóricas, sistólicas e diastólicas maiores que os não-tabagistas, independentemente do uso de medicação anti-hipertensiva. Não há diferença no descenso noturno entre tabagistas e não-tabagistas.

Classificação do diabete melito

A correta classificação do diabete melito (DM) permite o tratamento mais adequado e compreende quatro categorias: DM tipo 1; DM tipo 2; Outros tipos e Diabete Gestacional. Em alguns casos, pode ocorrer sobreposição de quadros, principalmente no DM que inicia no adulto jovem ou que se apresenta inicialmente com cetoacidose, intermediários ao DM 1 e DM 2. Assim, acréscimos ao sistema de classificação clássico têm sido propostos, avaliando a presença de autoimunidade (anticorpos) e a função de célula β (peptídeo-C) para definir mais precisamente os subtipos. O objetivo desta revisão foi de analisar o desempenho desses índices diagnósticos para a classificação do DM e descrever os subtipos em detalhe. Os anticorpos contra o pâncreas evidenciam a autoimunidade, sendo o anticorpo contra insulina o mais acurado antes dos 5 anos de idade e o anti-descarboxilase do ácido glutâmico para início da doença acima dos 20 anos, é esse o teste que permanece positivo por mais tempo. Já a medida do peptídeo-C avalia a reserva pancreática de insulina, e os métodos de estímulo mais usados são a medida após refeição ou após glucagon endovenoso. Valores de peptídeo-C < 1,5 ng/ml definem o paciente com função pancreática ausente, e acima desse valor, com função preservada. Combinando-se a presença de anticorpos (A+) dirigidos ao pâncreas e a sua capacidade secretória de insulina (β+), pode-se subdividir a classificação do DM em tipo 1A (A+β-) e 1B (A+ β-); e o DM tipo 2 em subgrupos de DM 2A (A+β+) e DM 2B (A-β+), o que permite uma classificação e tratamento mais precisos, além de abrir os horizontes para o entendimento da patogênese do DM.

Post-Acute Coronary Syndrome Alcohol Abuse: Prospective Evaluation in the ERICO Study

Background:Some studies have indicated alcohol abuse as one of the contributors to the development of cardiovascular disease, particularly coronary heart disease. However, this relationship is controversial.Objective:To investigate the relationship between post-acute coronary syndrome (ACS) alcohol abuse in the Acute Coronary Syndrome Registry Strategy (ERICO Study).Methods:146 participants from the ERICO Study answered structured questionnaires and underwent laboratory evaluations at baseline, 30 days and 180 days after ACS. The Alcohol Use Disorders Identification Test (AUDIT) was applied to assess harmful alcohol consumption in the 12 months preceding ACS (30 day-interview) and six months after that.Results:The frequencies of alcohol abuse were 24.7% and 21.1% in the 12 months preceding ACS and six months after that, respectively. The most significant cardiovascular risk factors associated with high-risk for alcohol abuse 30 days after the acute event were: male sex (88.9%), current smoking (52.8%) and hypertension (58.3%). Six months after the acute event, the most significant results were replicated in our logistic regression, for the association between alcohol abuse among younger individuals [35-44 year-old multivariate OR: 38.30 (95% CI: 1.44-1012.56) and 45-54 year-old multivariate OR: 10.10 (95% CI: 1.06-96.46)] and for smokers [current smokers multivariate OR: 51.09 (95% CI: 3.49-748.01) and past smokers multivariate OR: 40.29 (95% CI: 2.37-685.93)].Conclusion:Individuals younger than 54 years and smokers showed a significant relation with harmful alcohol consumption, regardless of the ACS subtype.

Clinical Differences between Subtypes of Atrial Fibrillation and Flutter: Cross-Sectional Registry of 407 Patients

Introduction:Atrial fibrillation and atrial flutter account for one third of hospitalizations due to arrhythmias, determining great social and economic impacts. In Brazil, data on hospital care of these patients is scarce.Objective:To investigate the arrhythmia subtype of atrial fibrillation and flutter patients in the emergency setting and compare the clinical profile, thromboembolic risk and anticoagulants use.Methods:Cross-sectional retrospective study, with data collection from medical records of every patient treated for atrial fibrillation and flutter in the emergency department of Instituto de Cardiologia do Rio Grande do Sul during the first trimester of 2012.Results:We included 407 patients (356 had atrial fibrillation and 51 had flutter). Patients with paroxysmal atrial fibrillation were in average 5 years younger than those with persistent atrial fibrillation. Compared to paroxysmal atrial fibrillation patients, those with persistent atrial fibrillation and flutter had larger atrial diameter (48.6 ± 7.2 vs. 47.2 ± 6.2 vs. 42.3 ± 6.4; p < 0.01) and lower left ventricular ejection fraction (66.8 ± 11 vs. 53.9 ± 17 vs. 57.4 ± 16; p < 0.01). The prevalence of stroke and heart failure was higher in persistent atrial fibrillation and flutter patients. Those with paroxysmal atrial fibrillation and flutter had higher prevalence of CHADS2 score of zero when compared to those with persistent atrial fibrillation (27.8% vs. 18% vs. 4.9%; p < 0.01). The prevalence of anticoagulation in patients with CHA2DS2-Vasc ≤ 2 was 40%.Conclusions:The population in our registry was similar in its comorbidities and demographic profile to those of North American and European registries. Despite the high thromboembolic risk, the use of anticoagulants was low, revealing difficulties for incorporating guideline recommendations. Public health strategies should be adopted in order to improve these rates.

One-year Mortality after an Acute Coronary Event and its Clinical Predictors: The ERICO Study

Background:Information about post-acute coronary syndrome (ACS) survival have been mostly short-term findings or based on specialized, cardiology referral centers.Objectives:To describe one-year case-fatality rates in the Strategy of Registry of Acute Coronary Syndrome (ERICO) cohort, and to study baseline characteristics as predictors.Methods:We analyzed data from 964 ERICO participants enrolled from February 2009 to December 2012. We assessed vital status by telephone contact and official death certificate searches. The cause of death was determined according to the official death certificates. We used log-rank tests to compare the probabilities of survival across subgroups. We built crude and adjusted (for age, sex and ACS subtype) Cox regression models to study if the ACS subtype or baseline characteristics were independent predictors of all-cause or cardiovascular mortality.Results:We identified 110 deaths in the cohort (case-fatality rate, 12.0%). Age [Hazard ratio (HR) = 2.04 per 10 year increase; 95% confidence interval (95%CI) = 1.75–2.38], non-ST elevation myocardial infarction (HR = 3.82 ; 95%CI = 2.21–6.60) or ST elevation myocardial infarction (HR = 2.59; 95%CI = 1.38–4.89) diagnoses, and diabetes (HR = 1.78; 95%CI = 1.20‑2.63) were significant risk factors for all-cause mortality in the adjusted models. We found similar results for cardiovascular mortality. A previous coronary artery disease diagnosis was also an independent predictor of all-cause mortality (HR = 1.61; 95%CI = 1.04–2.50), but not for cardiovascular mortality.Conclusion:We found an overall one-year mortality rate of 12.0% in a sample of post-ACS patients in a community, non-specialized hospital in São Paulo, Brazil. Age, ACS subtype, and diabetes were independent predictors of poor one‑year survival for overall and cardiovascular-related causes.

A determinação dos números de indivíduos mínimos necessários na experimentação genética

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.