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.

III - Contribuição para o estudo biológico e ecológico das Podostemaceae do salto do Piracicaba

1 - The Author, in this 3 thd. contribution, concludes the study of the biology and ecology of the species Tristicha trifaria (Willd.) Spreng. and Mourera aspera (Bong.) Tul., both of the Piracicaba Fall. 2 - According to the results of Dr. Peter van Royen (State Herbarium of Leiden, Holland), who made a complete revision of Podostemaceae of the Piracicaba Fall, the species Tristicha hypnoides (St. Hil.) Spreng. var. Hilarii Tul. and Mnioppsis Glazioviana Warm, correspond, respectively, to theTristicha trifaria (Willd.) Spreng. and Mniopsis weddelliana Tul. Apinagia Accorsii Toledo was transferred by Royen to the genus Wettsteiniola. So, its new name is Wettsteiniola accorsii (Toledo) v. Royen. 3 - Propagation by seeds may occur in the following places: a) placenta of partially open fruits; b) external and internal walls of the open capsules; c) pedicels of the fruits; d) remains of rhizomes, branches, etc. e) organic residues accumulated in water holes in the fall; f) clean rocks, in which the little groups of seedlings seems to be a colony of algae. Seeds adhere to the substrata above by means, of a mucilage produced by the transformation of the external integuments in contact with water. 4 - In the growth of the four species below it was found in Piracicaba Fall conspicuous zoning so scattered: a) Wettsteiniola accorsii (Toledo) v. Royen, in rocks situated just within the water fall, where velocity of the current and aeration of the water are very high. b) Tristicha trifaria (Willd.) Spreng. and Mniopsis weddelliana Tul., in rocks at some distance (100 m more or less) upstream until near the bridge across the river. c) Mourera aspera (Bong.) Tul., 300 m upwards the bridge. 5- During 1949, the ecological conditions of the Piracicaba Fall were changed due to the following factors: a) dry season very long, begining from last period of June until 30 november; b) stopping, during four months, of water from the Atibaia river (one of the components of Piracicaba river) near to the city of Americana, in the place where a new station of the Companhia Paulista de Força e Luz was build. In consequence, most of the Podostemaceae died. On the dry rocks there were only fruits and dried plants. 6 - Tristicha trifaria has the same biological and ecological behavior as the Mniopsis weddelliana,. 7 - The vegetative propagation of Tristicha trifaria is made by increasing of its branches, production of stolons with vegetatives buds and regeneration of old parts in especial conditions of water and aeration. 8 - Mourera aspera has the same vegetative propagation as the Wettsteiniola accorsii; it produces stolons (in very little percentage) with vegetative buds, branches of the rhizomes and regeneration of active old parts. 9 - Frequently, there is, on the plants an accumulation of sand, silt, loam, organic substances, and so on. The quantity of material stored depends of the purity of the water, of the morphology of the plants and of the situation on the fall. 10 - In extrem conditions of dry heat, the surviving of the species in its habitat depends exclusively from germination of seeds in the mentioned substrata. Exceptionally, some plants survive in a few water pockets full with the weak remaining current.

Adubação da mandioca (Manihot utilissima Pohl.) I: ensaio em areia lavada (Nota prévia)

This paper deals with the preliminary results of a sand culture experiment carried out to obtain physiological bases to study the fertilization of cassava in the State of São Paulo. On the other hand, the authors are interested in the possible influence of mineral nutrients in the quantity and quality of starch. Cassava (Manihot utilissima Pohl.), "Branca de Sta. Catarina" variety, was grown under the following treatments: NO PO KO, NO P1 K1, N1 P0 Kl, NI P1K0, N2 p1 Kl N1 P2 K1 and N1 P1 K2. A striking response to phosphorus was observed among the treatments. However, once secured the necessary phosphoric level to the plant, the production becomes limited by nitrogen; in other words, increase in yield can be accomplished only by raising the nitrogenous level. The present results suggest that the remarkable effects of phosphates applied to cassava cultures in the State of São Paulo are due not only to the poor quality of our soils, as far phosphorus is concerned: we are facing a positive physiological response showed by the plant.

Estudos sôbre a alimentação mineral da mandioca (Manihot utilissima Pohl.)

1. The present work was carried out to study the effects of mineral nutrients in the yield as well as in the composition of cassava roots. The variety "Branca de Sta. Catarina" was grown by the sand culture method, the following treatments being used: N0 P0 K0, N0 P1 Kl, N1 P0 K1, N2 P1 K0, N2 P1 K1, N1 P2 K1, and N1 P1 K2, where the figures 0, 1, and 2 denote the relative proportion of a given element. The nutrients were given as follows: N = 35 grams of ammonium nitrate per pot loaded with 120 pounds of washed sand; P1 = 35 grams of monocalcium phosphate; Kl = 28 grams of sulfate of potash. Besides those fertilizers, each pot received 26 grams of magnesium sulfate and weekly doses of micronutrients as indicated by HOAGLAND and ARNON (1939). To apply the macronutrients the total doses were divided in three parts evenly distributed during the life cycle of cassava. 2. As far yield of roots and foliage are concerned, there are a few points to be considered: 2.1. the most striking effect on yield was verified when P was omitted from the fertilization; this treatment gave the poorest yields of the whole experiment; the need of that element for the phosphorylation of the starchy reserves explains such result; 2.2. phosphorus and nitrogen, under the experimental conditions, showed to be the most important nutrients for cassava; the effect of potassium in the weight of the roots produced was much less marked; it is noteworthy to mention, that in absence of potassium, the roots yield decreased whereas the foliage increased; as potassium is essential for the translocation of carbohydrates it is reasonable to admit that sugars produced in the leaves instead of going down and accumulate as starch in the roots were consumed in the production of more green matter. 3. Chemical analyses of roots revealed the following interesting points: 3.1. the lack of phosphorus brought about the most drastic reduction in the starch content of the roots; while the treatment N1 P1 K1 gave 32 per cent of starch, with NI PO Kl the amount found was 25 per cent; this result can be explained by the requirement of P for the enzymatic synthesis of starch; it has to be mentioned that the decrease in the starch content was associated with the remarkable drop in yield observed when P was omitted from the nutrient medium; 3.2. the double dosis of nitrogen in the treatment N2 P1 K1, gave the highest yields; however the increase in yield did not produce any industrial gain: whereas the treatment N1 P1 K1 gave 32 per cent of starch, by raising the N level to N2, the starch content fell to 24 per cent; now, considering the total amount of starch present in the roots, one can see, that the increase in roots yield did not compensate for the marked decrease in the starch content; that is, the amount of starch obtained with N1 P1 K1 does not differ statistically from the quantity obtained with N2 P1 K1; as far we know facts similar to this had been observed in sugar beets and sugar cane, as a result of the interaction between nitrogen and sugar produced; the biochemical aspect of the problem is very interesting: by raising the amount of assimilable nitrogen, instead of the carbohydrates polymerize to starch, they do combine to the amino groups to give proteinaceous materials; actually, it did happen that the protein content increased from 2.91 to 5.14 per cent.

Bromeliad-associated mosquitoes from Atlantic forest in Santa Catarina Island, southern Brazil (Diptera, Culicidae), with new records for the State of Santa Catarina

Bromeliad-associated mosquitoes (Diptera: Culicidae) in Atlantic Forest in Florianópolis, Santa Catarina, southern Brazil, were studied, examining plants of Vriesea philippocoburgi Wawra and Aechmea lindenii (E. Morren) Baker var. lindenii at secondary Atlantic rain forest, and A. lindenii and Vriesea friburgensis Mez var. paludosa (L. B. Smith) at "restinga" per month, during 12 months. No immature forms of mosquitoes were collected from A. lindenii in the secondary forest. Collections obtained 368 immature mosquitoes, none of them from A. lindenii from rain forest. Culex (Microculex) spp. constituted 79.8% of the total, Wyeomyia (Phoniomyia) spp. 17.93%, and Anopheles (Kerteszia) cruzii (Dyar & Knab, 1908) only 1.36%. The study shows the great predominance of species of medical importance not yet proved, and the small number of immature stages of anopheline mosquitoes. The rainfall, but not the mean temperatures, significantly influenced the quantity of mosquitoes from V. philippocoburgi. Significant differences between the quantities of immature forms of all the bromeliad species were found, and the shape of the plants could be important to the abundance of mosquitoes. All six species of Cx. (Microculex) found are recorded for the first time in the State of Santa Catarina, and all six species of Wyeomyia (Phoniomyia) are recorded for the first time in bromeliads in this state.

Diversity and structure of microcrustacean assemblages (Cladocera and Copepoda) and limnological variability in perennial and intermittent pools in a semi-arid region, Bahia, Brazil

Temporary wetlands undergo recurrent drought due to the scarcity of water, which disrupts the hydrological connectivity with adjacent aquatic systems. However, some environments retain water for longer periods, allowing greater persistence of the community. The current study evaluated differences in the microcrustacean assemblages and limnological variability between perennial and intermittent pools in a semi-arid region of Brazil. The abiotic features (water temperature, pH, total alkalinity, electrical conductivity and depth) of intermittent pools were affected more than perennial pools due to loss of water volume. This may have contributed to a higher average richness and diversity index in some intermittent pools and differences in the structure of the assemblages. The lowest species richness and diversity were recorded where physical factors, such as a large quantity of suspended solids and variability in the electrical conductivity of the water and pH, make the environment unsuitable for these organisms. These results suggest that community development in intermittent pools is interrupted by the dry season; when the water returns, due to rainfall or rising groundwater, each pond undergoes a different process of colonization. In these circumstances, the biological importance of temporary aquatic environments is clear, since such pools provide shelters and have an important role in the maintenance of the regional diversity of aquatic environments.

Myeloid Metaplasia of Spleen in Hookworm Disease

We investigated, in the liver and the spleen of ten pures cases of ankylostomiasis haemocytopoietic elements. We verified the weight of spleen in 23 cases of individuals from 3 to 60 years old. In no case did we meet with haemopoietic cells in liver. In seven cases we found in spleen elements of the red series at an advanced evolutional stage (orthochromatic erythroblasts with pyknotic nucleus). In some of these cases we observed megakaryocytes and numerous eosinophilous myelocytes.The three cases which did not show any myeloid metaplasia in spleen were from individuals of over 50 years. Nevertheless, in another case of an individual 59 years old this metaplasia was verified. In individuals of over 20 years, the average weight of spleen in nine cases appeared to be equal to the normal weight. In 14 other cases, between 3 and 14 years of age, the weight of this organ was always sensibly higher than in normal individuals of the corresponding age. These results suggest the possibility of the myeloid metaplasia being the fact responsible for the weight increase of spleen in young individuals victimatized by hookworm anaemia. The remarkable proliferation of orthochromatic erythroblasts shows that the degree and quickness of blood regeneration after iron administration are due, essentially, to the great quantity of haemoglobin previously formed in the spleen and bone marrow of ankylostomized organisms.

Biologia do saguirú (Characidae, Curimatinae)

In Brazil all the fishes belonging to the sub-family Curimatinae are called « saguirú ». The present work gives a biological study of the Curimatus elegans Steind., a small fish without any economical importance, which is to be found along the whole brazilian coast, down till Paraguay. The specimens utilized for the present study come from Fortaleza (Ceará, north-eastern Brazil). The C. elegans is « ilyophagus », that means, it feeds itself exclusively with those organic materials to be found in mud, specially with microscopical algae. The intestines are very extent, some of them measuring about 9 to 11 times body's length. Studies have been made about growth and age of the C. elegans; the biggest sizes found were of 153 mm. for females and 88 mm. for males. The C. elegans shows developed sexual glands during a long period (April to September). The movements of the spermatozoa, in contact with water is of 40 to 50 seconds of intense movements, ceasing after 70 to 100 seconds. In contact with 0.5% NaCl-solution spermatozoa show a big increase in movements-time, that can last till about 25 minutes. The eggs' diameter measures 0.70 to 0.73 mm., mature and hydrated it attains 0.93 to 1,00 mm. There is a certain correlation between the size of the body and the quantity of eggs. Big specimens can produce a total of 200.000 eggs. The average quantity contained in 1 gr. and 1 cc. is 6018 and 6229 eggs, respectively. Maturity and spawning in laboratory has been obtained due to injections of suspension of fish-hypophysis. Three or four hours after the injection, fishes show more movement and evident signs of excitation, proceeding spawning after 5 to 6 hours. Males, persecuting females, describe successive circles (merry-go-round) - carroussel), swimming side by side with females up to water's surface, where sexual products are start beating dry, for there is no blood yet. Circulation-scheme is to be found on fig. 4 and 5. The swim-bladder and the stomach are but delineated; the intestine is formed by a cylindric tube, all closed. At the place, where later on there will open the mouth, we find a group of ciliary hairs that produce a liquid current, very evident by the semi-circle formed by attached solid particles. After 36 hours, opening of the mouth and formation of the gill slits begin. At the age of 90 hours (4 mm.) the larvas swim well and start to feed themselves; the digestive tube is now all open and the swimbladder works already. During the first days of life, larvas have an adhesive organ situated at their frontal region (fig. 7) in form of a crescent, by means of which they hang to surrounding vegetation (fig. 6). When the larva begins to swim and to feed itself and its yolk are having been absorbed. the adhesive organ retracts and disappears. While larvas and alevins feed themselves with plancton, they have small eye-teeth, which disappear,. when fishes become « ilyophagus ». There exist too, during their life as larvas, pharyngeal-teeth. The lateral line appears in the larva after 16 to 18 days; more or less at the same time all fins are completely developed. Shortly after, first scales appear (20 to 23 days). Evolution of intestines twisting followed (fig. 9). Larvas show at different parts of their bodies small of organs excretory functions, that are constituted by bottons in serial disposition, every one with an excretory canal that opens towards the outside. These formations disappear suddenly when larvas attain their phase of alevin. The existence of a great number of said formations at the caudal fin (fig. 12) is of great interest. In our experiences of breeding we have employed several thousands of C. elegans larvas in different environs and we made conditions of surrounding change (illumination), depth of water, temperature, presence of sand at bottom of aquariums and without sand, food). In this way we could compare the results obtained, estimate the action of each factor for the realisation of a good bring-up of larvas.

Fermentação da gelose pelas bacterias anaerobias

1 - Anaerobic bacteria of the Clostridium genus acidify mineral media without when agar is added. 2 - Acidulation results from the attack on the agar as a source of carbon. 3 - The quantity of CO² produced by the decomposition of the agar is approximately that obtained with soil bacteria as shown by Waksmann and Diehm working with hemicelluloses. Although galactone is less atacked than the other hemicelluloses the acidity produced is sufficient to disturb the fermentation tests in semi-solid media with agar. 4 - The acidulation of Spray's sugar-free control medium is probably due to the decomposition of the agar by anaerobes. The acidity produced may interfere with the acidity of the fermentation of the sugar in Spray's test or may be added to it, thus giving a false indication of the real acidity.

Estudos sôbre óleos do fígado de cacão Desmobrânquios da família Sphyrnidae, Mir. Rib., gêneros Carcharias, Raf., Galeocerdo, Ranz., e Odontaspis, Shau

1. The author suggests a tecnique for the determination of vitamin A on shark liver oils in industrial plants. The advantages of using oly four ml. of reagent and of permitting a quickly rigorous reading by photoeletric cell, contribute to the possibility of the examination of a great number of samples daily; 2. It is described a survey on the vitamin A content of oils from shark livers, which has been made at the Finishing School Darcy Vargas, Marammaia Is., Rio de Janeiro State. The conclusions are the following: a) Male individuals have showed generally tendency for higher vitamin A pontency oils; b) The size of the fish does not interfere in the vitamin content of the oil (graphic 4); c) The data collected upon 3.085 individuals led to the conclusion that some species are richer in the reservated vitamin although it was possible to catch in the same specie fishes with widely variable potency in vitamin A. One fish belonging to the specie C. lamia produced the highest vitamin potency oil with 167.712 international units per gram; d) The fishing season appears to have no influence on the oils; e) The adventitous food seems to be the most important factor affecting the content of vitamin A of the shark-liver oils; 3. The presence and the quantity of vitamin D in those oils was investigated and two of the determinations are presented.

O potassio plasmático em infecções bacterianas experimentais

Arrangement of potassium in the tissues having been mentioned, as well as the rôle it plays in some pathological processes such as suprarenal insufficiency, anaphylactic shock and shock caused by hemorrhage or traumatism, experiences were undertaken to establish the rates of plasma potassium during bacteria infections artificially developed in rabbits by K. pneumoniae. P. aeruginosa and S. enteridits. It was concluded that during the period of the infections, the rate of potassium of the plasma increases almost immediately after the inoculation and stays high when the infections are of a serious or mortal character; the rate continue to increase until the death of the animal occurs. When these infections are not very serious, as in the cases of infections resulting from inoculations of bacteria as not recent — and consequently with attenuated virulence — K pneumoniae, or P aeruginosa and S enteriditis, to which rabbits are naturally very resistant, the rate of potassium of the plasma increases after an intravenous inoculation of germs according to the septicemic period of the infection; however, when, because of its natural resistance, the animal overcomes the infection, the amount of potassium gradually decreases and finally gets back to the normal rate. The action of cortin on potassium of the plasma was also tested on animals suffering from acute infections caused by K. pneumoniae, which, under normal conditions cause death of the rabbits, nor did it increase the rate of potassium of the plasma when a larger amount of bacteria (300,000,000) was inoculated. However, cortin inoculated several times prevented a higher rate of potassium in the plasma during the development of the infection when a smaller number of bacteria (150,000,000) was inoculated, which quantity, under normal conditions, always causes mortal infections. When cortin is discontinued 20 hours after the inoculation of germs, the infection increases fastly and the animal dies in a very short time. Now, if the injections of cortin continue to be given every hour until the 26th hour instead of only until the 20th hour, the amount of potassium in the plasma — very high if the hormones substance is no longer inoculated — gradually becomes smaller and finally comes back to the normal rate if the inoculations continue to be made; it will increase again only if the substance is no longer injected; after a few hours the injection is gone, potassium is found to come back to its former rate, and in consequence the animal is perfectly cured of an infection otherwise mortal. ln view of the results thus obtained, it was concluded that, during the development of those infections, the checking of the rate of potassium of the plasma provided a means of controlling the resistance of a body suffering from an infection, that rate increasing when the infection is developing and becoming more severe, or getting back to normal when the infection decreases. The checking of the rate of potassium of the plasma also made known the action of cortin on the tissues, which is found to control the permeability of the cells to potassium. Suggestions were made that potassium of the plasma be thereofre checked during infections in the human body, to make possible proving that the phenomena studied in those animals also take place in the human body. In case this is found to be true, we sould possess an important element to check organic vitality during infections.

Tacit collusion and capacity withholding in repeated uniform price auctions

This paper contributes to the study of tacit collusion by analyzing infinitely repeated multiunit uniform price auctions in a symmetric oligopoly with capacity constrained firms. Under both the Market Clearing and Maximum Accepted Price rules of determining the uniform price, we show that when each firm sets a price-quantity pair specifying the firm's minimum acceptable price and the maximum quantity the firm is willing to sell at this price, there exists a range of discount factors for which the monopoly outcome with equal sharing is sustainable in the uniform price auction, but not in the corresponding discriminatory auction. Moreover, capacity withholding may be necessary to sustain this out-come. We extend these results to the case where firms may set bids that are arbitrary step functions of price-quantity pairs with any finite number of price steps. Surprisingly, under the Maximum Accepted Price rule, firms need employ no more than two price steps to minimize the value of the discount factor

Collusion and fights in an experiment with price-setting firms and production in advance

We present results from 50-round market experiments in which firms decide repeatedly both on price and quantity of a completely perishable good. Each firm has capacity to serve the whole market. The stage game does not have an equilibrium in pure strategies. We run experiments for markets with two and three identical firms. Firms tend to cooperate to avoid fights, but when they fight bankruptcies are rather frequent. On average, pricing behavior is closer to that for pure quantity than for pure price competition and price and efficiency levels are higher for two than for three firms. Consumer surplus increases with the number of firms, but unsold production leads to higher efficiency losses with more firms. Over time prices tend to the highest possible one for markets both with two and three firms.

Aplicación de programas de gestión sanitaria en criaderos marinos

La primera necesidad de los peces es la higiene. La elaboración de Programas de Gestión Sanitaria (PGS) aplicables a la industria, dentro de un marco realista y eficiente, pueden contribuir positivamente a la mejora sistemática de la productividad, afectando no sólo a la cantidad y calidad del producto, sino directamente a la eficiencia económica de la empresa. Las principales normas deben quedar reflejadas dentro de un Plan de Control Sanitario (PCS) de la instalación, normas que deben ser de obligado cumplimiento, tanto para los trabajadores como para las visitas. El seguimiento del PCS se realiza mediante la aplicación de un Sistema de Análisis de Peligros y Puntos Críticos de Control (APPCC), sistema que forma parte, a su vez, del Sistema de Gestión de la Calidad (SGC). No será factible la aplicación de ninguno de estos programas, planes y sistemas sin un uso racional del autocontrol. Hygiene is the first need that fish have. The elaboration of the Sanitary Management Programs (SMP) which industrial application, inside a realistic and efficient framework, could contribute positively to the systematic improvement of the production, affecting not only to the quantity and quality of the product, but that affect directly to the economic efficiency of the company. The main norms will be reflected in a Sanitary Control Plan (SCP) of the facilities, these norms must be obligatory fulfilment for the workers and visits. The monitoring of the SCP will do meanly the application of the Hazard Analysis and Critical Control Point (HACCP), system that it is a part, also, of the Quality Management System (QMS). It is not possible, the application of any of this programs, plans and systems, without a rational use of the auto control processes.