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1

Temming, Axel, and Jens P. Herrmann. "A generic model to estimate food consumption: linking von Bertalanffy’s growth model with Beverton and Holt’s and Ivlev’s concepts of net conversion efficiency." Canadian Journal of Fisheries and Aquatic Sciences 66, no. 4 (2009): 683–700. http://dx.doi.org/10.1139/f09-028.

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In this paper, a mathematical derivation is presented that links von Bertalanffy’s growth model with the concept of net conversion efficiency of Beverton and Holt, aiming at the development of an equation that can calculate food consumption rates of wild populations from parameters of the von Bertalanffy growth equation and an estimate of the net food conversion efficiency of Beverton and Holt. The derivation is based on Pauly’s version of the generalized von Bertalanffy equation, which allows the allometric exponent of the anabolism term to differ from 2/3, as in the standard von Bertalanffy
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Kim, Hyoun Ju, Ki-Yong Chung, Eung-Ki Kwon, Bo-Suk Yang, Sung-Heum Yeon, and Seung Hwan Lee. "Estimates of growth curve parameters in Hanwoo." Journal of Animal Breeding and Genomics 9, no. 2 (2025): 95–103. https://doi.org/10.12972/jabng.2025.9.2.5.

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This study aimed to estimate growth curve parameters in Hanwoo cattle using nonlinear models. Body weight records were collected from the Hanwoo Research Center, the Nonghyup Hanwoo Improvement Center, and commercial farms. Animals were categorized by sex and feeding system, and growth was modeled using Gompertz, Richards, and von Bertalanffy equations.For breeding cows, estimated mature weights were 416.4±1.4 kg (1980s), 451.5±1.5 kg (1990s), and 442.7±1.4 kg (2000s) with the Gompertz model; 488.0±4.2 kg, 497.7±3.0 kg, and 484.6±2.2 kg with the Richards model; and 426.5±1.5 kg, 462.3±1.6 kg,
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3

Patón, D., L. Cardona, and E. Gisbert. "Comparative growth in relation with the age assessed by skeletochronology in two mullet fishes of genus Liza." Animal Science 59, no. 2 (1994): 303–7. http://dx.doi.org/10.1017/s0003356100007790.

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AbstractWe propose a new method for determining age in mullet fishes taking the thoracic spines as material of analysis. The relations length-age and tueight-age were evaluated by von Bertalanffy and logarithmic regressions. Both methods closely agreed with the observed data but the von Bertalanffy's model showed the best R2 values in both species. Two parameters related to growth speed; the K coefficient of von Bertalanffy's model and the slope of logarithmic regression, were higher in Liza ramada than in Liza saliens. However, our results show that mullet have both high rates of size-growth
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4

Hearn, William S., and George M. Leigh. "Comparing Polynomial and von Bertalanffy Growth Functions for Fitting Tag–Recapture Data." Canadian Journal of Fisheries and Aquatic Sciences 51, no. 8 (1994): 1689–91. http://dx.doi.org/10.1139/f94-169.

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The properties of polynomial and von Bertalanffy growth functions are compared for analysing data from tag–recapture experiments in which fish are recaptured once. For the quadratic and von Bertalanffy growth functions, explicit formulae are obtained for the expected growth increment in terms of length-at-release, time-at-liberty, and the function parameters. If the least-squares fitting technique is used the von Bertalanffy function fits tag–recapture data with no more bias (probably less) than any other growth function, including polynomial growth functions. A bias-reduction technique for fi
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5

Chroust, Gerhard, and Wolfgang Hofkirchner. "Ludwig von Bertalanffy returns home." Systems Research and Behavioral Science 23, no. 5 (2006): 701–3. http://dx.doi.org/10.1002/sres.794.

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6

Kimura, Daniel K. "Extending the von Bertalanffy growth model using explanatory variables." Canadian Journal of Fisheries and Aquatic Sciences 65, no. 9 (2008): 1879–91. http://dx.doi.org/10.1139/f08-091.

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von Bertalanffy parameters are usually estimated for a species, perhaps by sex, in some well-defined geographical area. An alternative way to estimate von Bertalanffy parameters is to model them in a general fixed-effects nonlinear model. For this model, the length of the ith individual is modeled as yi = f(φ, ti, xi) + εi, where yi is the length and ti is the age of the ith specimen at the time of sampling, φ are the unknown parameters required to model von Bertalanffy growth, and xi are covariates associated with the ith specimen that minimally contain sex information (xi1), but may also con
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7

Martyushev, L. M. "Ontogenetic growth: Schmalhausen or von Bertalanffy?" Physics of Life Reviews 10, no. 3 (2013): 389–90. http://dx.doi.org/10.1016/j.plrev.2013.06.001.

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8

Diniz, Carlos Alberto Ribeiro, Francisco Louzada-Neto, and Lia Hanna Martins Morita. "The multiplicative heteroscedastic Von Bertalanffy model." Brazilian Journal of Probability and Statistics 26, no. 1 (2012): 71–81. http://dx.doi.org/10.1214/10-bjps120.

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9

Uba, Garba, Abdulhadi Yakubu, Zainab Jamilu Abdulsalam, and Mohd Yunus Shukor. "Predictive Mathematical Modeling Biofilm Potential of Phytochemicals from Adantum philippensis Extract and Adhesion with P. aeruginosa Activities." Journal of Environmental Bioremediation and Toxicology 3, no. 2 (2020): 1–5. http://dx.doi.org/10.54987/jebat.v3i2.543.

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 A predictive mathematical modeling of the biofilm potentials of phytochemicals from A. philippense extract and adhesion with P. aeruginosa was studied for the very first time. Eight different kinetic models Von Bertalanffy, Baranyi-Roberts, modified Schnute, modified Richards, modified Gompertz, Modified Logistics and latest Huang were used to get values for the kinetic constants. Von Bertalanffy of the entire model was found to be the best model with the highest adjusted R2 value with the lowest RMSE value. The accuracy and bias factors values were close to one (1.
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10

Yahuza, Salihu, and Ibrahim Alhaji Sabo. "Mathematical Modelling of the Growth of Bacillus cereus Strain wwcp1on Malachite Green Dye." Journal of Biochemistry, Microbiology and Biotechnology 9, no. 2 (2021): 25–29. http://dx.doi.org/10.54987/jobimb.v9i2.613.

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In this paper, various growth models such as Von Bertalanffy, Huang, Baranyi-Roberts, Modified Gompertz, Buchnam-3-phase, Modified-Richards and Modified-Logistics, were presented in fitting and evaluating the growth of Bacillus cereus wwcp1 on Malachite green dye. The Von Bertalanffy model was found to be the best model with the lowest RMSE and highest R2 values. The Accuracy and Bias factor values were near unity (1.0). The von Bertalanffy parameters such as A (lower asymptote bacterial growth), μ (bacterial growth rate) and k (curve fitting parameter) were found to be 2.757 (95% confidence i
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11

Santos, André Luiz Pinto dos, Denise Stéphane de Almeida Ferreira, Eucymara França Nunes Santos, et al. "Proposta de novo modelo não linear para descrever curvas de crescimento de ovinos da raça Ile de France." Sigmae 8, no. 2 (2019): 257–65. https://doi.org/10.29327/2520355.8.2-28.

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Avaliaram-se curvas de crescimento de ovinos da raça Ile de France. Foram utilizados 34 animais em oito momentos (0, 30, 60, 90, 120, 150, 180 e 210) dias. Para estimar o crescimento em função do peso-idade, utilizaram-se os modelos: proposto, Logístico e Von Bertalanffy. Os critérios utilizados para indicação do modelo que melhor descreveu a curva de crescimento foram: o coeficiente de determinação (R2), o desvio médio absoluto (DMA), e o número de interações. Testes de Shapiro-Wilk foram realizados para verificar o pressuposto de normalidade residual; Durbin-Watson, para verificar a independ
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12

Wang, You-Gan, Mervyn R. Thomas, and Ian F. Somers. "A maximum likelihood approach for estimating growth from tag–recapture data." Canadian Journal of Fisheries and Aquatic Sciences 52, no. 2 (1995): 252–59. http://dx.doi.org/10.1139/f95-025.

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The Fabens method is commonly used to estimate growth parameters k and l∞ in the von Bertalanffy model from tag–recapture data. However, the Fabens method of estimation has an inherent bias when individual growth is variable. This paper presents an asymptotically unbiassed method using a maximum likelihood approach that takes account of individual variability in both maximum length and age-at-tagging. It is assumed that each individual's growth follows a von Bertalanffy curve with its own maximum length and age-at-tagging. The parameter k is assumed to be a constant to ensure that the mean gro
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13

AL-SAFFAR, AVAN. "SOME NEW RESULTS OF A FRACTIONAL VON BERTALANFFY MODEL." E-Jurnal Matematika 12, no. 3 (2023): 194. http://dx.doi.org/10.24843/mtk.2023.v12.i03.p419.

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In this article, we review the deterministic and perturbed Von Bertalanffy model that has been developing to discuss the existence and uniqueness results of the model. The key research issues are highlighted, and the results and interpretations are summarized. We investigate the effects of changing some of the system's control parameters through numerical simulations. We resolve the Von Bertalanffy ordinary differential equation of fractional order. The analytical solution is obtained.
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14

Garnero, A. Del V., C. R. Marcondes, L. A. F. Bezerra, H. N. Oliveira, and R. B. Lôbo. "Parâmetros genéticos da taxa de maturação e do peso assintótico de fêmeas da raça Nelore." Arquivo Brasileiro de Medicina Veterinária e Zootecnia 57, no. 5 (2005): 652–62. http://dx.doi.org/10.1590/s0102-09352005000500011.

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Utilizaram-se 14.563 pesagens de 1158 fêmeas da raça Nelore, nascidas entre 1984 e 1995, pertencentes a 10 fazendas, distribuídas em sete estados do Brasil. Com o objetivo de estabelecer um padrão médio de crescimento, obter parâmetros individuais das curvas e estimar os componentes de variância, herdabilidade e correlações genéticas dos parâmetros das curvas, foram comparados os modelos de Von Bertalanffy, Brody, logístico e Gompertz. Foram utilizados o procedimento NLIN e o programa MTDFREML sob modelo animal em análise unicaráter e bicaráter. Os parâmetros médios dos pesos assintóticos (A)
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15

Hofkirchner, Wolfgang. "Social relations: Building on Ludwig von Bertalanffy." Systems Research and Behavioral Science 36, no. 3 (2019): 263–73. http://dx.doi.org/10.1002/sres.2594.

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16

Rodriguez, Jorge, Luis H. Romero N, and Ana María Sanabria R. "Solución Numérica de la Ecuación Diferencial de Von Bertalanffy." Revista de Ciencias 10 (November 8, 2011): 91–96. http://dx.doi.org/10.25100/rc.v10i0.599.

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17

Kleiner, G. B. "Exploring Systems Thinking: Between Alexander Bogdanov and Ludwig von Bertalanffy." AlterEconomics 21, no. 1 (2024): 20–28. http://dx.doi.org/10.31063/altereconomics/2024.21-1.3.

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The article presents a comparative analysis of the concepts proposed by two influential figures in modern systems theory — Alexander Bogdanov and Ludwig von Bertalanffy. In light of the revival of systems analysis, the article addresses the need to reevaluate the systemic worldviews of these theorists, aiming to discern similarities, differences, and the potential for a systemic synthesis of their ideas. Summarizing the key principles of the new theory of economic systems and space-time analysis, the article highlights distinctions bet­ween Ludwig von Bertalanffy’s discrete (“elemental”) conce
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18

Contreras Piña, Sonia, José Guadalupe García Muñiz, Rodolfo Ramírez Valverde, Rafael Núñez Domínguez, and Citlalli Celeste González Ariceaga. "Comparación de ecuaciones para ajustar curvas de crecimiento de vacas Holstein, Jersey y Jersey x Holstein en pastoreo." Revista Mexicana de Ciencias Pecuarias 12, no. 4 (2022): 1250–63. http://dx.doi.org/10.22319/rmcp.v12i4.5016.

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El objetivo del estudio fue comparar la bondad de ajuste de cuatro ecuaciones no lineales para describir las curvas de crecimiento de vacas Jersey, Holstein, y Jersey x Holstein en pastoreo. Las ecuaciones de Brody, Gompertz, von Bertalanffy, y Logística se ajustaron a los datos (n= 2,315) de peso y edad de vacas Jersey (n= 54), Holstein (n= 6) y Jersey x Holstein (n= 30). Para cada animal, genotipo y ecuación, se estimaron los parámetros A, b y k que produjeron las curvas de crecimiento de mejor ajuste. En cada una de las cuatro ecuaciones comparadas, el parámetro A corresponde a la asíntota
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19

Cerrato, Robert M. "Interpretable Statistical Tests for Growth Comparisons using Parameters in the von Bertalanffy Equation." Canadian Journal of Fisheries and Aquatic Sciences 47, no. 7 (1990): 1416–26. http://dx.doi.org/10.1139/f90-160.

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Likelihood ratio, t-, univariate χ2-, and T2-tests have been proposed to compare von Bertalanffy parameters among stocks. As commonly applied, all of these tests are approximate, with the accuracy of each dependent on the nonlinearity of the von Bertalanffy equation, sample size, and if present, the degree of heterogeneity in the error variances. An empirical comparison of these procedures shows that the likelihood ratio test often differs in outcome from the others. Analysis of the conflicting cases by confidence region comparisons and Monte Carlo simulations almost always resolved the outcom
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20

Trindade, Willian, and Roberto Antonio Cordeiro Prata. "Análise dos modelos Gompertz, Verhulst e de Von Bertalanfly para o crescimento linear dos machos albinos da tilápia do Nilo." REMAT: Revista Eletrônica da Matemática 10, no. 1 (2024): e3008. http://dx.doi.org/10.35819/remat2024v10i1id6762.

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O objetivo deste trabalho é estimar o melhor modelo matemático que representa o crescimento linear de machos albinos da tilápia do Nilo. Os modelos escolhidos para este artigo são: de Gompertz, Verhulst e de Von Bertalanffy. Os dados são de um experimento previamente conduzido pelo Centro de Pesquisas Ictiológicas Rodolpho Von Ihering, o qual está situado no município de Pentecostes no Ceará. Para analisar qual o modelo com melhor ajuste, são empregados os seguintes critérios de avaliação: Coeficiente de Determinação (R^2), Quadrado Médio do Resíduo (QMR), o Erro Percentual Médio (EPM) e o Cri
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21

de Toledo, Ermerson Arnaut. "O Modelo de crescimento de peixes de Von Bertalanffy." Jornal Eletrônico de Ensino e Pesquisa de Matemática 1, no. 2 (2017): 84–91. http://dx.doi.org/10.4025/jeepema.v1.n2.art6.

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Neste trabalho apresentamos a equação diferencial de Von Bertalanffy que modela o crescimento de peixes. Embora seja uma equação diferencial simples e com solução explícita, a dedução do modelo envolve algumas dificuldades.
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22

Rodríguez B., Carlos Julio, and Jorge Rodríguez B. "A Growth Functional Equation." Revista de Ciencias 8 (November 8, 2011): 111–14. http://dx.doi.org/10.25100/rc.v8i0.617.

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23

Araújo, Ronyere Olegário de, Cintia Righetti Marcondes, Maria Cecília Florisbal Damé, et al. "Classical nonlinear models to describe the growth curve for Murrah buffalo breed." Ciência Rural 42, no. 3 (2012): 520–25. http://dx.doi.org/10.1590/s0103-84782012000300022.

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With the objective of to adjust nonlinear models for the growth curves for a buffaloes herd raised in floodable lands in Rio Grande do Sul state, monthly records measured from birth to two years-old of 64 males and 63 females born between 1982 and 1989 were used. The models used were: Von Bertalanffy, Brody, Gompertz and Logistic. The parameters were estimated by NLIN procedure and the criteria used to evaluate the adjustment given by the models were: asymptotic standard deviation; coefficient of determination; average absolute deviation of residues and asymptotic index. Von Bertalanffy and Br
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Lumingas, L. J. L., and M. Guillou. "Growth zones and back-calculation for the sea urchin, Sphaerechinus granularis, from the Bay of Brest, France." Journal of the Marine Biological Association of the United Kingdom 74, no. 3 (1994): 671–86. http://dx.doi.org/10.1017/s0025315400047731.

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A procedure for accurately determining age and growth of the sea urchin Sphaerechinus granularis (Lamarck) (Echinodermata: Echinoidea) in the Bay of Brest (France) is described. Readings of growth lines were made from the longitudinal cross-section of interambulacral oral plates of sea urchins collected in February 1993. These results agree with age estimates calculated using the ELEFAN I programme based on diameter-frequency distributions of sea urchins collected from February 1992 to March 1993. A non-linear regression (monomolecular equation) best describes the relationship between test dia
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Santos, André Luiz Pinto dos, Tiago Alessandro Espínola Ferreira, Cícero Carlos Ramos de Brito, Frank Gomes-Silva, and Guilherme Rocha Moreira. "Proposal for a new non-linear model to describe growth curves." Bioscience Journal 40 (February 15, 2024): e40011. http://dx.doi.org/10.14393/bj-v40n0a2024-68936.

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This study was developed with longitudinal data measurements of Norfolk rabbits from birth to 119 days of age to estimate the average growth curve, with the primary objective of proposing a non-linear model. It also selected the most appropriate sigmoidal model to describe the growth of Norfolk rabbits. The adjustments provided by the logistic, von Bertalanffy, Gompertz, Brody, Richards, and proposed models were compared. The parameters were estimated using the “nls” function of the “stats” package in R software, the least-squares method, and the Gauss-Newton convergence algorithm. The goodnes
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26

Maino, James L., and Michael R. Kearney. "The universality of the von Bertalanffy growth curve." Physics of Life Reviews 20 (March 2017): 63–65. http://dx.doi.org/10.1016/j.plrev.2017.01.010.

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27

Prajneshu and R. Venugopalan. "von Bertalanffy growth model in a random environment." Canadian Journal of Fisheries and Aquatic Sciences 56, no. 6 (1999): 1026–30. http://dx.doi.org/10.1139/f99-035.

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The well-known von Bertalanffy growth model for describing age-length relationship is formulated in a randomly fluctuating environment. The fluctuations in the system are assumed to be described by a Gaussian white noise stochastic process. The resulting model, in terms of a stochastic differential equation, is solved analytically. It is shown that the probability density function of length of a fish is a Gaussian stochastic process. Finally, as an illustration, the methodology is applied to a set of pearl oyster (Pinctada fucata (Gould)) data.
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Lipinski, M. R., and M. A. Roeleveld. "Minor extension of the von Bertalanffy growth theory." Fisheries Research 9, no. 4 (1990): 367–71. http://dx.doi.org/10.1016/0165-7836(90)90054-y.

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29

Chambers, Mark S., Leesa A. Sidhu, Ben O’Neill, and Nokuthaba Sibanda. "Flexible von Bertalanffy growth models incorporating Bayesian splines." Ecological Modelling 355 (July 2017): 1–11. http://dx.doi.org/10.1016/j.ecolmodel.2017.03.026.

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Ozcan, Ebru Ifakat, and Osman Serdar. "Comparison between traditional models and artificial neural networks as estimators of the growth of the Tigris scraper Capoeta umbla (Teleostei: Cyprinidae) in the Munzur River, Turkey." Revista Científica de la Facultad de Ciencias Veterinarias 35, no. 1 (2025): 9. https://doi.org/10.52973/rcfcv-e35513.

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In this study, a comparison of traditional growth methods (length-weight relationships and von Bertalanffy growth function) with artificial neural networks in growth models was carried out in the growth of 783 specimens of Capoeta umbla from the Munzur River, Turkey from September 2019 to May 2021. The length-weight relationships of C. umbla W = 0.0085L3.013 R2=0.943 was determined for all individuals. The ages of the specimens were from 0 to 11 years old. The von Bertalanffy growth function was Lt = 46.15 [1-e-0.139 (t + 2.57)] and Wt = 856.32 [1-e-0.139 (t + 2.57)]3.013 for all individuals.
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Supratman, Okto, Indah Auliana, Mualimah Hudatwi, and Eva Utami. "Pola Pertumbuhan Siput Gonggong Strombus turturella, Röding, 1798 (Gastropoda: Strombidae) di Pulau Bangka, Bangka Belitung." Jurnal Kelautan Tropis 22, no. 2 (2019): 118. http://dx.doi.org/10.14710/jkt.v22i2.5479.

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Strombus turturella on Bangka Island is under pressure and threatens the effects of anthropogenic activity. This condition is necessary to carry out various efforts to manage the dog conch on an ongoing basis. Based on these problems, it is necessary to conduct research related to various parameters of the growth of the dog conch on Bangka Island. The purpose of the study was to determine the growth parameters of the dog conch which included growth patterns, estimation of growth model von bertalanffy and length-weight relationship. The research was carried out in several stages, namely: 1) Sam
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González, Angel Rafael. "Crecimiento del bagre dorado Brachyplatystoma rousseauxii en la región del Orinoco Medio en Venezuela, según la inferencia de modelos múltiples." Biotecnología en el Sector Agropecuario y Agroindustrial 21, no. 1 (2022): 97–107. http://dx.doi.org/10.18684/rbsaa.v21.n1.2023.2030.

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Tradicionalmente se ha utilizado el modelo de von Bertalanffy como patrón único en el estudio del crecimiento de los peces, considerándolo a priori como el único modelo que se ajusta a los datos de longitu-edad de las especies; una consideración que genera incertidumbres en los valores de los parámetros de crecimientos que se estiman, por cuanto se sabe que existen otros modelos de crecimiento que podrían ajustarse igualmente a los datos de longitud-edad. En este sentido, en la región del Orinoco Medio se hizo anteriormente un estudio del crecimiento de Brachyplatystoma rousseauxii (González e
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Kondo, Masumi, and Masakazu Onitsuka. "Ulam type stability for von Bertalanffy growth model with Allee effect." Mathematical Biosciences and Engineering 21, no. 3 (2024): 4698–723. http://dx.doi.org/10.3934/mbe.2024206.

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<abstract><p>In many studies dealing with mathematical models, the subject is examining the fitting between actual data and the solution of the mathematical model by applying statistical processing. However, if there is a solution that fluctuates greatly due to a small perturbation, it is expected that there will be a large difference between the actual phenomenon and the solution of the mathematical model, even in a short time span. In this study, we address this concern by considering Ulam stability, which is a concept that guarantees that a solution to an unperturbed equation ex
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Romuald Sonan Assi, Awa Traoré, Martin Kouamé Kouamé, Innocent Allepo Abe, and Mathurin Koffi. "Growth parameters of Brycinus longipinnis (Günther, 1864) from the Aghien Lagoon (South East of Côte D’ivoire)." World Journal of Advanced Research and Reviews 11, no. 1 (2021): 113–19. http://dx.doi.org/10.30574/wjarr.2021.11.1.0324.

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The growth of Brycinus longipinnis caught at Aghien Lagoon was studied between June 2014 and May 2015 through growth type, condition factor and growth parameters according to the Von Bertalanffy model. Sampling was conducted using experimental fisheries. Growth type was determined from the length-weight relationship and growth parameters according to the Von Bertalanffy model from the FiSAT software. The growth was of negative allometric type (b = 2.59). The Brycinus longipinnis population grows faster towards the asymptotic length ((L∞ = 92.40 mm SL) with a growth coefficient K of 0.36 year-1
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Franco, Célia Maria Rufino, and Isaac Ferreira de Lima. "Aplicação do Modelo de Von Bertalanffy na Avicultura Familiar." INTERMATHS 3, no. 2 (2022): 56–65. http://dx.doi.org/10.22481/intermaths.v3i2.11200.

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A avicultura familiar é de grande importância por ser de baixo custo e assegurar muitas vezes a melhoria da qualidade da alimentação do produtor e da sua família, bem como para complementar o orçamento de famílias em pequenos municípios em vários estados brasileiros. O modelo de crescimento não linear de Von Bertalanffy foi adaptado para descrever a curva de crescimento de galinhas caipiras criadas soltas. Para tanto, foi realizado um trabalho experimental para coleta dos dados peso-idade, de forma que as aves não foram submetidas a uma dieta específica para acelerar o crescimento, sendo adota
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36

Renner-Martin, Katharina, Norbert Brunner, Manfred Kühleitner, Werner Georg Nowak, and Klaus Scheicher. "On the exponent in the Von Bertalanffy growth model." PeerJ 6 (January 4, 2018): e4205. http://dx.doi.org/10.7717/peerj.4205.

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Von Bertalanffy proposed the differential equation m′(t) = p × m(t)a − q × m(t) for the description of the mass growth of animals as a function m(t) of time t. He suggested that the solution using the metabolic scaling exponent a = 2/3 (Von Bertalanffy growth function VBGF) would be universal for vertebrates. Several authors questioned universality, as for certain species other models would provide a better fit. This paper reconsiders this question. Based on 60 data sets from literature (37 about fish and 23 about non-fish species) it optimizes the model parameters, in particular the exponent
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ILORI, Babatunde Moses, Kayode AKANO, Sunday Olusola PETERS, et al. "GROWTH DESCRIPTION OF PURE AND CROSSBRED TURKEYS USING NON-LINEAR MODELS IN HOT AND HUMID TROPICAL ENVIRONMENT." Slovak Journal of Animal Science 55, no. 1–4 (2022): 1–13. http://dx.doi.org/10.36547/sjas.775.

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This study was conducted to compare three non-linear growth models (Logistics, Gompertz and Von Bertalanffy) in describing the growth of 360 turkeys of three genotypes (exotic, crossbred and local). The growth curve parameters - A, B and K for each growth model were estimated for each turkey using the NLIN procedure (Marquart algorithm) for the Bayesian approach with a fixed-effect model. The best fit of the three models was also estimated. A comparison was done among the three models using Akaike Information Criteria (AIC) and the Bayesian Information Criteria (BIC). Pearson product-moment co
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Uba, Garba, Muhammad A. Ginsau, Nuhu Danladi Zandam, and Mohd Yunus Shukor. "Mathematical Modeling of the Effect of Adiantum philippense Extracts on Biofilms Formation, Adhesion with E. coli Activities Against Foodborne Pathogens." Journal of Environmental Microbiology and Toxicology 8, no. 2 (2020): 6–11. http://dx.doi.org/10.54987/jemat.v8i2.564.

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In the quest for novel bioactive metabolites, which can also be used as therapeutic agents, Adiantum philippense (A. philippense), an ethnomedical important fern, has become a fascinating herb. In this study, the predictive mathematical modelling of A. philippense crude extract was tested against E. coli, a common food pathogen for its phytochemical constituents, antagonistic ability, and effect on bacterial adhesion and biofilm formation was calculated. For the first time in this paper we present various kinetics models such as von Bertalanffy, Baranyi-Roberts, modified Schnute, Modified Rich
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He, Ji X., and Donald J. Stewart. "A stage-explicit expression of the von Bertalanffy growth model for understanding age at first reproduction of Great Lakes fishes." Canadian Journal of Fisheries and Aquatic Sciences 59, no. 2 (2002): 250–61. http://dx.doi.org/10.1139/f02-008.

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An initial annual growth rate of body length and its regular decrease with increasing age has general linkages with age at first reproduction (tR). We clarify their combinations and develop predictive functions. We use a complete Ford–Walford plot with yearling size (L1) on the y axis and show a slope transition between the relative yearling growth rate (ρy) and the Ford–Walford slope (ρ). The three stage-specific variables define a complete body-length trajectory over ages, including all von Bertalanffy growth parameters and the Ford–Walford intercept (Lint). The difference between asymptotic
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McGarvey, Richard, and John E. Feenstra. "Estimating length-transition probabilities as polynomial functions of premoult length." Marine and Freshwater Research 52, no. 8 (2001): 1517. http://dx.doi.org/10.1071/mf01172.

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In length-based lobster stock-assessment models where the population is subdivided into discrete length classes, growth is represented as a matrix of length-transition probabilities. At specific times during the model year, the length-transition probabilities specify the proportions growing into larger length classes. These probabilities are calculated by integration of gamma or normal distributions over the length intervals of each larger length class. The mean growth from any given length category is commonly modelled by a von Bertalanffy or other continuous growth curve. The coefficients of
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Farrell, Edward D., Stefano Mariani, and Maurice W. Clarke. "Age and growth estimates for the starry smoothhound (Mustelus asterias) in the Northeast Atlantic Ocean." ICES Journal of Marine Science 67, no. 5 (2010): 931–39. http://dx.doi.org/10.1093/icesjms/fsp295.

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Abstract Farrell, E. D., Mariani, S., and Clarke, M. W. 2010. Age and growth estimates for the starry smoothhound (Mustelus asterias) in the Northeast Atlantic Ocean. – ICES Journal of Marine Science, 67: 931–939. Age, growth, and longevity were estimated for the starry smoothhound (Mustelus asterias), based on the interpretation of sectioned vertebrae of 106 males (35–104 cm stretch total length, STL) and 114 females (44–112 cm STL). Growth curves were fitted to length-at-age data using von Bertalanffy and Gompertz models. The three-parameter von Bertalanffy growth function (VBGF) provided th
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Varona, L., C. Moreno, L. A. Garcia Cortes, G. Yague, and J. Altarriba. "Two-step versus joint analysis of Von Bertalanffy function." Journal of Animal Breeding and Genetics 116, no. 5 (1999): 331–38. http://dx.doi.org/10.1046/j.1439-0388.1999.00220.x.

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Lika, K., and S. A. L. M. Kooijman. "The metabolic interpretation of the von Bertalanffy growth rate." Ecological Modelling 488 (February 2024): 110591. http://dx.doi.org/10.1016/j.ecolmodel.2023.110591.

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Lv, Qiming, and Jonathan W. Pitchford. "Stochastic von Bertalanffy models, with applications to fish recruitment." Journal of Theoretical Biology 244, no. 4 (2007): 640–55. http://dx.doi.org/10.1016/j.jtbi.2006.09.009.

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Bello, Rafael E. "The systems approach ? A. Bogdanov and L. von Bertalanffy." Studies in Soviet Thought 30, no. 2 (1985): 131–47. http://dx.doi.org/10.1007/bf01043756.

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R. B., Fatai, Akinyemi M. O., Osaiyuwu O. H., Ewuola K. M., Bello S. F., and Salako A. E. "Weight-Age Relationship in Yoruba and FUNAAB-Alpha Chickens using Non-linear Regression Models." Nigerian Journal of Animal Production 50, no. 5 (2024): 88–95. https://doi.org/10.51791/njap.v50i5.8034.

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This study was designed to evaluate the goodness of fit of six non-linear growth models; Logistics, Gompertz, Brody, Richard, Von bertalanffy and Mitscherlich in Yoruba and FUNAAB-Alpha chickens with the aim of providing information on their growth patterns for future genetic improvement. A total of 256 one-day-old chicks comprising 118 Yoruba Ecotype Chicken (YEC) and 138 FUNAAB Alpha Chicken (FAC) were tagged and fed ad libitum on starter (0 - 6 weeks) and grower (7-24 weeks) diets. Body weight of each bird was measured weekly. The selected nonlinear growth models were fitted to the individu
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Romuald, Sonan Assi, Traoré Awa, Kouamé Kouamé Martin, Allepo Abe Innocent, and Koffi Mathurin. "Growth parameters of Brycinus longipinnis (Günther, 1864) from the Aghien Lagoon (South East of Côte D'ivoire)." World Journal of Advanced Research and Reviews 11, no. 1 (2021): 113–19. https://doi.org/10.5281/zenodo.5169296.

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The growth of&nbsp;<em>Brycinus longipinnis</em>&nbsp;caught at Aghien Lagoon was studied between June 2014 and May 2015 through growth type, condition factor and growth parameters according to the Von Bertalanffy model. Sampling was conducted using experimental fisheries. Growth type was determined from the length-weight relationship and growth parameters according to the Von Bertalanffy model from the FiSAT software. The growth was of negative allometric type (b = 2.59). The&nbsp;<em>Brycinus longipinnis</em>&nbsp;population grows faster towards the asymptotic length ((L&infin; = 92.40 mm SL
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De Oliveira, Márcia Ferreira Cardoso, and Maria Hermínia De Paula Leite Mello. "EQUAÇÃO DE VON BERTALANFFY APLICADA AO CRESCIMENTO DE FRANGO COLONIAL." Cadernos do IME - Série Matemática, no. 13 (December 16, 2019): 107–19. http://dx.doi.org/10.12957/cadmat.2019.47283.

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A equação diferencial chamada de Equação de Von Bertalanffy é utilizada como modelo matemático para descrever o crescimento do frango colonial. A partir de dados estatísticos, verificar-se a adequação do modelo matemático para obtenção de dados relativos ao crescimento do frango colonial, visando a determinação da melhor época para o abate da ave.
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Renner-Martin, Katharina, Norbert Brunner, Manfred Kühleitner, Werner-Georg Nowak, and Klaus Scheicher. "Optimal and near-optimal exponent-pairs for the Bertalanffy-Pütter growth model." PeerJ 6 (November 23, 2018): e5973. http://dx.doi.org/10.7717/peerj.5973.

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The Bertalanffy–Pütter growth model describes mass m at age t by means of the differential equation dm/dt = p * ma − q * mb. The special case using the von Bertalanffy exponent-pair a = 2/3 and b = 1 is most common (it corresponds to the von Bertalanffy growth function VBGF for length in fishery literature). Fitting VBGF to size-at-age data requires the optimization of three model parameters (the constants p, q, and an initial value for the differential equation). For the general Bertalanffy–Pütter model, two more model parameters are optimized (the pair a &lt; b of non-negative exponents). Wh
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Gomiero, Juliana Sampaio Guedes, Rilke Tadeu Fonseca de Freitas, Vander Bruno dos Santos, Fabyano Fonseca da Silva, Paulo Borges Rodrigues, and Priscila Vieira Rosa Logato. "Curvas de crescimento morfométrico de piracanjuba (Brycon orbignyanus)." Ciência e Agrotecnologia 33, no. 3 (2009): 882–89. http://dx.doi.org/10.1590/s1413-70542009000300031.

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Conduziu-se um experimento no setor de piscicultura da Universidade Federal de Lavras M.G., com o objetivo de estabelecer curvas de crescimento morfométrico em função do peso corporal para a piracanjuba (Brycon orbignyanus). Alevinos de piracanjuba foram cultivados em viveiros de terra e alimentados com ração comercial até atingirem peso aproximado de 1 kg. Durante o período experimental realizaram-se amostragens aleatórias, onde foram avaliadas as medidas morfométricas comprimento da cabeça (CCAB), comprimento padrão (CP), altura (AND) e largura (LND) tomada no 1ºraio da nadadeira dorsal e as
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