Describing animal growth rate using non-linear models allows a detailed evaluation of growth behavior. Four non-linear models were used to fit weight gain and total length data of bullfrog (Lithobates catesbeianus) tadpoles, as follows: Gompertz, Y = A exp (-exp (-b (t-T))); Von Bertalanffy, Y = A (1 -K exp (-B t)) 3 ; Logistic, Y = A (1+ K exp (-B t)) -1 and Brody, Y=A (1 -K exp (-B t)). We used 3,240 tadpoles, with average initial weight 0.044 g and average total length 12.79 mm, stage 25 Gosner. The measurements were conducted every ten days on 10% of the animals in every tank. The criteria used to select the model that best described the growth curve were: Residual Mean Square (RMS); determination coefficient (R²); residual graphical analysis; residual mean absolute deviation (MAD). Brody mathematical model was not a good fit for weight gain and total length, while Von Bertalanffy model underestimated tadpole initial weight, thus showing the difficulty of mathematical models to describe biological data at this growth stage. However, the Gompertz and Logistic models were considered to be an adequate fitting to describe growth rate and total length of bullfrog tadpoles in captivity.Index terms: Frog farm, growth curve, Lithobates catesbeianus. RESUMODescrever o crescimento animal em modelos não lineares permite uma avaliação criteriosa desse comportamento, além de revelar informações importantes da resposta a um determinado tratamento. Neste estudo objetivou-se avaliar o ajuste do crescimento em peso e comprimento total de girinos de rã-touro (Lithobates catesbeianus) em quatro modelos não lineares: Gompertz, Y = A exp (-exp (-b (t-T))); Von Bertalanffy, Y = A (1 -K exp (-B t))3 ; Logístico, Y = A (1+ K exp (-B t)) -1 e Brody, Y=A (1 -K exp (-B t)). Foram utilizados 3.240 girinos, com peso médio inicial de 0,044g e comprimento total médio de 12,79 mm, no estágio 25 de Gosner. Os critérios utilizados para selecionar o modelo que melhor descreveu a curva de crescimento foram: o quadrado médio do resíduo (QMR); o coeficiente de determinação (R 2 ); análise gráfica dos resíduos; desvio médio absoluto dos resíduos (DMA). Os dados apresentados para peso e comprimento total não se ajustaram ao modelo de Brody, assim como o modelo de Von Bertalanffy subestimou os pesos iniciais, mostrando dificuldade de interpretação biológica, indicando que esses modelos não são apropriados para essa espécie na fase aquática. Os modelos de Gompertz e Logístico são adequados para descrever o crescimento e comprimento de girinos de rã-touro em cativeiro.Termos para indexação: Ranicultura, curva de crescimento, Lithobates catesbeianus.

The e¡ects of two probiotics (P 1^L actobacillus acidophilus, Bi¢dobacterium bi¢dum and Enterococcus faecium and P 2^B acillus subtilis) supplemented to commercial feed (40% crude protein) on the haematological and immunological parameters of the bullfrog Lithobates catesbeianus were studied. Two doses of each probiotic (5 and 10 g kg À 1 of food) were added to the diets and fed to frogs, totalling ¢ve treatments over112 days. Haematological analyses consisted of total and di¡erential leucocyte counts, erythrocyte and thrombocyte counts, haematocrit, haemoglobin levels and RBC indices (mean corpuscular volume, mean corpuscular haemoglobin^and mean corpuscular haemoglobin concentration) and the immunological parameters included phagocytic capacity and phagocytic index of peritoneal phagocytes. The results showed that the probiotics did not signi¢cantly in£uence any of the haematological parameters measured. However, immunological assays showed that the probiotics had an immunostimulating e¡ect. The greatest e¡ects were seen with probiotic P 1 fed at a dose of 10 g kg À 1 of diet and probiotic P 2 fed at 5 g kg À 1 of diet. Figure 2 Photomicrograph of abdominal lavage of bullfrogs (Lithobates catesbeianus) showing phagocytic cells with yeast in their interior (a^six yeasts, b^no yeast). Phase contrast microscope, Â 400 magni¢cation.

AIM: Current analysis characterizes the effluent from bullfrog-rearing ponds during the grow-out phase; METHODS: Temperature, pH, dissolved oxygen, electric conductivity, turbidity, total phosphorus, N-NH3, N-NO3, BOD5 and COD and the number of thermotolerant coliforms (Escherichia coli) of the inlet and outlet water of the ponds were analyzed twice a week. Assay consisted of a completely randomized experimental design with two treatments (inlet and outlet water) and six repetitions in a split-plot, coupled to collection over time as subplot; RESULTS: All variables were significantly different (p < 0.05) between treatments and over time (p < 0.05). Average rates of temperature, pH and dissolved oxygen levels of the supply water were higher when compared to those of the effluent. The other variables such as conductivity, turbidity, total phosphorus, ammonia, nitrate, biological oxygen demand, chemical oxygen demand and E. coli were higher in the effluent when compared to rates in the supply water; CONCLUSIONS: The management during grow-out phase caused the deterioration of the water quality, with increasing levels of dissolved nutrients and the number of thermotolerant coliform. Ammonia and phosphorus levels in the effluent, caused by waste food, skin and feces, accelerate the eutrophication process of the receiving water body. Further studies on effluent treatment are required.

The objective of this study was to determine apparent digestibility of protein and energy of ingredients commonly present in rations fed to bullfrog tadpoles Rana catesbeiana such as corn, soybean meal, wheat meal, rice bran, poultry by‐product meal, blood meal, fish meal, corn starch and soybean oil. A completely randomized design was used to test ten experimental diets with four replicates. About 30% of the reference diet was replaced by the test ingredients, except for soybean oil that was used at 10% ratio and 0.5% of chromium oxide as inert marker. The values of apparent digestibility coefficient of crude protein (ADCCP) and gross energy (ADCGE) of the protein ingredients were, respectively: fish meal, 81 and 95%; poultry byproduct meal, 82 and 87%; blood meal, 64 and 53%; and soybean meal, 93 and 90%. While for the energetic ingredients, ADCCP and ADCGE, were, respectively: wheat meal, 100 and 72%; rice bran, 57 and 24%; and corn, 84 and 92%. Soybean oil and cornstarch ADCGE values were 70 and 96%, respectively; cornstarch digestibility is highly dependent on feed processing technique. The results showed that the ingredients of plant origin, except for rice bran, had good digestibility, thus indicating that tadpoles can effectively use plant protein. In this trial, the least digestible ingredients were blood meal and rice bran, thus indicating that the use of such ingredients in bullfrog tadpole diets should be limited.